1. Math 902 Transition to Algebra and Problem Solving
Words  Pictures

2. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is thirteen units larger than x. (sum)
Problem #1 Words  Pictures

3. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is thirteen units larger than x. (sum)
Problem #1 Words  Pictures

4. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is five units less than x. (difference)
Problem #2 Words  Pictures

5. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is five units less than x. (difference)
Problem #2 Words  Pictures

6. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is four times larger than x. (product)
Problem #3 Words  Pictures

7. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is four times larger than x. (product)
Problem #3 Words  Pictures

8. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is one-third of x. (fractional part)
Problem #4 Words  Pictures

9. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is one-third of x. (fractional part)
Problem #4 Words  Pictures

10. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is one less than twice the value of x.
Problem #5 Words  Pictures

11. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is one less than twice the value of x.
Problem #5 Words  Pictures

12. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is eight more than half the value of x.
Problem #6 Words  Pictures

13. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is eight more than half the value of x.
Problem #6 Words  Pictures

14. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is six more than one-fifth the value of x.
Problem #7 Words  Pictures

15. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is six more than one-fifth the value of x.
Problem #7 Words  Pictures

16. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is one-sixth of three more than the value of x.
Problem #8 Words  Pictures

17. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is one-sixth of three more than the value of x.
Problem #8 Words  Pictures

18. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is three times the difference of the value of x and five.
Problem #9 Words  Pictures

19. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is three times the difference of the value of x and five.
Problem #9 Words  Pictures

20. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is one-quarter of the sum of three times the value of x and two.
Problem #10 Words  Pictures

21. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustrate a rectangle that is one-quarter of the sum of three times the value of x and two.
Problem #10 Words  Pictures

22. Math 902 Transition to Algebra and Problem Solving
Order of Operations  Pictures

23. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. 1
Single Operation
Op 1 SUM
EXAMPLE #1 Order of Operations  Pictures

24. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. 1 2
2 Operations
Op 1 DIVISION
Op 2 SUBTRACTION
EXAMPLE #2 Order of Operations  Pictures

25. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. 1 3 2
3 Operations
Op 1 DIVISION
Op 2 SUM
Op 3 TIMES
EXAMPLE #3 Order of Operations  Pictures

26. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. 2 1 4 3
4 Operations
Op 1 TIMES
Op 2 DIFFERENCE
Op 3 DIVISION
Op 4 SUM
EXAMPLE #4 Order of Operations  Pictures

27. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated. 2 1 4 3 5
5 Operations
Op 1 DIVIDE
Op 2 SUM
Op 3 TIMES
Op 4 SUM
Op 5 DIVIDE
EXAMPLE #5 Order of Operations  Pictures

28. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #1 Order of Operations  Pictures

29. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #1 Order of Operations  Pictures

30. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #2 Order of Operations  Pictures

31. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #2 Order of Operations  Pictures

32. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #3 Order of Operations  Pictures

33. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #3 Order of Operations  Pictures

34. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #4 Order of Operations  Pictures

35. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #4 Order of Operations  Pictures

36. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #5 Order of Operations  Pictures

37. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #5 Order of Operations  Pictures

38. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #6 Order of Operations  Pictures

39. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #6 Order of Operations  Pictures

40. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #7 Order of Operations  Pictures

41. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #7 Order of Operations  Pictures

42. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #8 Order of Operations  Pictures

43. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #8 Order of Operations  Pictures

44. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #9 Order of Operations  Pictures

45. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #9 Order of Operations  Pictures

46. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #10 Order of Operations  Pictures

47. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right by first determining the order of operations and then constructing the illustration determined by the order in which the expression is evaluated.
Problem #10 Order of Operations  Pictures

48. Math 902 Transition to Algebra and Problem Solving
Symbols  Pictures
“FREE RESPONSE with your mind! THINK it out without the Order of Operations.”

49. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #1 Symbols  Pictures

50. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #1 Symbols  Pictures

51. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #2 Symbols  Pictures

52. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #2 Symbols  Pictures

53. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #3 Symbols  Pictures

54. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #3 Symbols  Pictures

55. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #4 Symbols  Pictures

56. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #4 Symbols  Pictures

57. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #5 Symbols  Pictures

58. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #5 Symbols  Pictures

59. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #6 Symbols  Pictures

60. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #6 Symbols  Pictures

61. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #7 Symbols  Pictures

62. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #7 Symbols  Pictures

63. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #8 Symbols  Pictures

64. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #8 Symbols  Pictures

65. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #9 Symbols  Pictures

66. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #9 Symbols  Pictures

67. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #10 Symbols  Pictures

68. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #10 Symbols  Pictures

69. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #11 Symbols  Pictures

70. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #11 Symbols  Pictures

71. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #12 Symbols  Pictures

72. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #12 Symbols  Pictures

73. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #13 Symbols  Pictures

74. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #13 Symbols  Pictures

75. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #14 Symbols  Pictures

76. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #14 Symbols  Pictures

77. Math 902 THIS IS A TOUGH ONE! Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #15 Symbols  Pictures

78. Math 902 THIS IS A TOUGH ONE! Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
Problem #15 Symbols  Pictures

79. Math 902 Transition to Algebra and Problem Solving
Pictures  Symbols
At the end of this section, let me know if these tasks are more difficult than the two earlier sets of tasks. you think

80. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #1 Pictures  Symbols

81. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #1 Pictures  Symbols

82. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #2 Pictures  Symbols

83. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #2 Pictures  Symbols

84. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #3 Pictures  Symbols

85. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #3 Pictures  Symbols

86. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #4 Pictures  Symbols

87. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #4 Pictures  Symbols

88. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #5 Pictures  Symbols

89. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #5 Pictures  Symbols

90. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #6 Pictures  Symbols

91. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #6 Pictures  Symbols

92. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #7 Pictures  Symbols

93. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #7 Pictures  Symbols

94. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #8 Pictures  Symbols

95. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #8 Pictures  Symbols

96. Math 902 Transition to Algebra and Problem Solving
Problem #9 Pictures  Symbols
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #9 Pictures  Symbols

97. Math 902 Transition to Algebra and Problem Solving
Problem #9 Pictures  Symbols
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #9 Pictures  Symbols

98. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #10 Pictures  Symbols

99. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
What is the
Algebraic Expression?
Problem #10 Pictures  Symbols

100. Math 902 You’ve been here before Transition to Algebra and Problem Solving
Pictures  Solution
We’re going to solve equations made from the expressions in the last two sections for the unknown values of x. Let’s demonstrate your logic and math.

101. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 52
The expression has a value of 52; so what is the value of x?
Problem #1 Pictures  Solution

102. Math 902 Transition to Algebra and Problem Solving
x = 45
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 52
The expression has a value of 52; so what is the value of x?
Problem #1 Pictures  Solution

103. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
The expression has a value of 50; so what is the value of x?
Problem #2 Pictures  Solution

104. Math 902 Transition to Algebra and Problem Solving
x = 38
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
The expression has a value of 50; so what is the value of x?
Problem #2 Pictures  Symbols

105. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 45
The expression has a value of 45; so what is the value of x?
Problem #3 Pictures  Symbols

106. Math 902 Transition to Algebra and Problem Solving
x = 53
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 45
The expression has a value of 45; so what is the value of x?
Problem #3 Pictures  Symbols

107. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 55
The expression has a value of 55; so what is the value of x?
Problem #4 Pictures  Solution

108. Math 902 Transition to Algebra and Problem Solving
x = 64
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 55
The expression has a value of 55; so what is the value of x?
Problem #4 Pictures  Solution

109. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 75
The expression has a value of 75; so what is the value of x?
Problem #5 Pictures  Solution

110. Math 902 Transition to Algebra and Problem Solving
x = 15
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 75
The expression has a value of 75; so what is the value of x?
Problem #5 Pictures  Solution

111. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 12
The expression has a value of 12; so what is the value of x?
Problem #6 Pictures  Solution

112. Math 902 Transition to Algebra and Problem Solving
x = 36
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 12
The expression has a value of 12; so what is the value of x?
Problem #6 Pictures  Solution

113. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 15
The expression has a value of 15; so what is the value of x?
Problem #7 Pictures  Solution

114. Math 902 Transition to Algebra and Problem Solving
x = 40
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 15
The expression has a value of 15; so what is the value of x?
Problem #7 Pictures  Solution

115. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 90
The expression has a value of 90; so what is the value of x?
Problem #8 Pictures  Solution

116. Math 902 Transition to Algebra and Problem Solving
x = 54
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 90
The expression has a value of 90; so what is the value of x?
Problem #8 Pictures  Solution

117. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 52
The expression has a value of 52; so what is the value of x?
Problem #9 Pictures  Solution

118. Math 902 Transition to Algebra and Problem Solving
x = 16
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 52
The expression has a value of 52; so what is the value of x?
Problem #9 Pictures  Solution

119. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 73
The expression has a value of 73; so what is the value of x?
Problem #10 Pictures  Solution

120. Math 902 Transition to Algebra and Problem Solving
x = 20
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 73
The expression has a value of 73; so what is the value of x?
Problem #10 Pictures  Solution

121. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 14
The expression has a value of 14; so what is the value of x?
Problem #11 Pictures  Symbols

122. Math 902 Transition to Algebra and Problem Solving
x = 22
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 14
The expression has a value of 14; so what is the value of x?
Problem #11 Pictures  Symbols

123. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 35
The expression has a value of 35; so what is the value of x?
Problem #12 Pictures  Symbols

124. Math 902 Transition to Algebra and Problem Solving
x = 11
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 35
The expression has a value of 35; so what is the value of x?
Problem #12 Pictures  Symbols

125. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 25
The expression has a value of 25; so what is the value of x?
Problem #13 Pictures  Solution

126. Math 902 Transition to Algebra and Problem Solving
x = 28
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 25
The expression has a value of 25; so what is the value of x?
Problem #13 Pictures  Solution

127. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 13
The expression has a value of 13; so what is the value of x?
Problem #14 Pictures  Solution

128. Math 902 Transition to Algebra and Problem Solving
x = 24
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 13
The expression has a value of 13; so what is the value of x?
Problem #14 Pictures  Solution

129. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 30
The expression has a value of 30; so what is the value of x?
Problem #15 Pictures  Solution

130. Math 902 Transition to Algebra and Problem Solving
x = 6
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 30
The expression has a value of 30; so what is the value of x?
Problem #15 Pictures  Solution

131. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 5
The expression has a value of 5; so what is the value of x?
Problem #16 Pictures  Solution

132. Math 902 Transition to Algebra and Problem Solving
x = 21
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 5
The expression has a value of 5; so what is the value of x?
Problem #16 Pictures  Solution

133. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 20
The expression has a value of 20; so what is the value of x?
Problem #17 Pictures  Symbols

134. Math 902 Transition to Algebra and Problem Solving
x = 33
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 20
The expression has a value of 20; so what is the value of x?
Problem #17 Pictures  Symbols

135. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 22
The expression has a value of 22; so what is the value of x?
Problem #18 Pictures  Symbols

136. Math 902 Transition to Algebra and Problem Solving
x = 3
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 22
The expression has a value of 22; so what is the value of x?
Problem #18 Pictures  Symbols

137. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 26
The expression has a value of 26; so what is the value of x?
Problem #19 Pictures  Symbols

138. Math 902 Transition to Algebra and Problem Solving
x = 7
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 26
The expression has a value of 26; so what is the value of x?
Problem #19 Pictures  Symbols

139. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 10
The expression has a value of 10; so what is the value of x?
Problem #20 Pictures  Symbols

140. Math 902 Transition to Algebra and Problem Solving
x = 52
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration: 10
The expression has a value of 10; so what is the value of x?
Problem #20 Pictures  Symbols

141. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
The expression has a value of 9; so what is the value of x? 9
Problem #21 Pictures  Symbols

142. Math 902 Transition to Algebra and Problem Solving
Problem #9 Pictures  Symbols
x = 7
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
The expression has a value of 9; so what is the value of x? 9
Problem #21 Pictures  Symbols

143. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
The expression has a value of 8; so what is the value of x?
4 4
Problem #22 Pictures  Symbols

144. Math 902 Transition to Algebra and Problem Solving
x = 27
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the quantity requested.
Illustration:
The expression has a value of 8; so what is the value of x?
4 4
Problem #22 Pictures  Symbols

145. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 80
The expression has a value of 80; so what is the value of x?
Problem #23 Pictures  Solution

146. Math 902 Transition to Algebra and Problem Solving
x = 55
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 80
The expression has a value of 80; so what is the value of x?
Problem #23 Pictures  Solution

147. Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 15
The expression has a value of 15; so what is the value of x?
Problem #24 Pictures  Solution

148. Math 902 Transition to Algebra and Problem Solving
x = 6
Math 902 Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right. 15
The expression has a value of 15; so what is the value of x?
Problem #24 Pictures  Solution

149. Math 902 THIS IS A TOUGH ONE! Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
0.75
The expression has a value of 0.75; so what is the value of x?
Problem #25 Pictures  Solution

150. x = 15
Math THIS IS A TOUGH ONE! Transition to Algebra and Problem Solving
Using the rectangle below representing an unknown value, x, illustrate the expression at the right.
0.75
The expression has a value of 0.75; so what is the value of x?
Problem #25 Pictures  Solution

151. Math 902 Recalling the Order of Operations Transition to Algebra and Problem Solving
Symbols  Solution

152. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
As demonstrated in our examples in class, to solve an equation involving:
ADDITION, we do the opposite and SUBTRACT,
SUBTRACTION, we do the opposite and ADD,
MULTIPLICATION, We do the opposite and DIVIDE,
DIVISION, we do the opposite and MULTIPLY.
Examples #1 Symbols  Solution

153. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra
If an equation involves more than one operation, before you solve for x: Suppose a value was assigned for x, number the order in which the expression is evaluated and solve in “reverse” order.
Examples #2 Symbols  Solution

154. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
If an equation involves more than one operation, before you solve for x: Suppose a value was assigned for x, number the order in which the expression is evaluated and solve in “reverse” order.
Examples #3 Symbols  Solution

155. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
x =
Problem #1 Symbols  Solution

156. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x: 19
x =
Problem #1 Symbols  Solution

157. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
x =
Problem #2 Symbols  Solution

158. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x: 68
x =
Problem #2 Symbols  Solution

159. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
x =
Problem #3 Symbols  Solution

160. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x: 13
x =
Problem #3 Symbols  Solution

161. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
x =
Problem #4 Symbols  Solution

162. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x: 45
x =
Problem #4 Symbols  Solution

163. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.)
x =
Problem #5 Symbols  Solution

164. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.) 2 1 17
x =
Problem #5 Symbols  Solution

165. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.)
x =
Problem #6 Symbols  Solution

166. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.) 2 1 18
x =
Problem #6 Symbols  Solution

167. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.)
x =
Problem #7 Symbols  Solution

168. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.) 1 2 23
x =
Problem #7 Symbols  Solution

169. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.)
x =
Problem #8 Symbols  Solution

170. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.) 1 2 3 4 5
x =
Problem #8 Symbols  Solution

171. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.)
x =
Problem #9 Symbols  Solution

172. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.) 2 3 1 7
x =
Problem #9 Symbols  Solution

173. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.)
x =
Problem #10 Symbols  Solution

174. Math 902 To draw or not to draw, it’s your choice
Math To draw or not to draw, it’s your choice. Transition to Algebra and Problem Solving
Solve for x:
(First number the order
in which the expression
is computed and work
backwards.) 1 2 3 4 20
x =
Problem #10 Symbols  Solution

175. Words  Solution Applications
Math THIS IS WHAT IT IS ALL ABOUT! Transition to Algebra and Problem Solving
Words  Solution
Applications
(some from your text)

176. PROBLEM FROM TEXTBOOK
Math 902 Transition to Algebra and Problem Solving
TV Watching. On average, people age 12 or older spent 1704 hours watching TV in This is 202 more than in 2000.
Determine the number of hours people in this age group spent watching TV in 2000.
Problem #1 Words  Solution FROM YOUR TEXT on page 65 problem # 9

177. How much longer is the Amazon?
PROBLEM FROM TEXTBOOK
Math 902 Transition to Algebra and Problem Solving
Longest Rivers. The longest river in the world is the Amazon in South America at about 4225 miles. The longest river in the United States is the Missouri-Mississippi at about 3860 miles.
How much longer is the Amazon?
Problem #2 Words  Solution FROM YOUR TEXT on page 65 problem # 12

178. How many motorcycles were sold in 2006?
PROBLEM FROM TEXTBOOK
Math 902 Transition to Algebra and Problem Solving
Motorcycle Sales. Motorcycle sales totaled 521,000 in the United States in Sales in 2006 exceeded this total by 669,000.
How many motorcycles were sold in 2006?
Problem #3 Words  Solution FROM YOUR TEXT on page 67 problem # 27

179. How much did each child receive?
PROBLEM FROM TEXTBOOK
Math 902 Transition to Algebra and Problem Solving
Yard-Sale Profit. Ruth made $312 at her yard sale and divided the money equally among her four grandchildren.
How much did each child receive?
Problem #4 Words  Solution FROM YOUR TEXT on page 67 problem # 29

180. Determine the total cost of the purchase.
PROBLEM FROM TEXTBOOK
Math 902 Transition to Algebra and Problem Solving
Refrigerator Purchase. Gourmet Deli has a chain of 24 restaurants. It buys commercial refrigerator for each store at a cost of $1019 each.
Determine the total cost of the purchase.
Problem #5 Words  Solution FROM YOUR TEXT on page 67 problem # 33

181. Elena buys 5 video games at $64 each and pays them with $10 bills.
PROBLEM FROM TEXTBOOK
Math 902 Transition to Algebra and Problem Solving
Elena buys 5 video games at $64 each and pays them with $10 bills.
How many $10 bills does it take?
Problem #6 Words  Solution FROM YOUR TEXT on page 69 problem # 49

182. PROBLEM FROM TEXTBOOK
Math 902 Transition to Algebra and Problem Solving
The balance in Dylan’s bank account is $749. He uses his debit card for purchases of $34 and $65. Then me makes a deposit of $123 from his paycheck.
What is his new balance?
Problem #7 Words  Solution FROM YOUR TEXT on page 69 problem # 52

183. PROBLEM FROM TEXTBOOK
Math 902 Transition to Algebra and Problem Solving
A mining company estimates that a crew must tunnel 2000 feet into a mountain to reach a deposit of copper ore. Each day, the crew tunnels about 500 feet. Each night, about 200 feet of lose rocks rolls back into the tunnel.
How many days will it take the mining company to reach the copper deposit?
Problem #8 Words  Solution FROM YOUR TEXT on page 84 problem # 67

184. How much does she now owe on her credit card?
PROBLEM FROM TEXTBOOK
Math 902 Transition to Algebra and Problem Solving
Laura has a charge of $477 on her credit card, but she then returns a sweater that costs $129.
How much does she now owe on her credit card?
Problem #9 Words  Solution FROM YOUR TEXT on page 103 problem # 72

185. Find the difference between these temperatures.
PROBLEM FROM TEXTBOOK
Math 902 Transition to Algebra and Problem Solving
Surface Temperature on Mercury. Surface temperatures on Mercury vary from 840°F on the equator when the planet is closest to the sun to -290°F at night.
Find the difference between these temperatures.
Problem #10 Words  Solution FROM YOUR TEXT on page 104 problem # 104

186. Peter had $4.00 while Mary had $7.oo.
Math 902 Transition to Algebra and Problem Solving
Peter had $4.00 while Mary had $7.oo.
How much did they have altogether?
Problem #1 Words  Solution

187. Peter had $4.00 while Mary had $7.oo.
Math 902 Transition to Algebra and Problem Solving
Peter had $4.00 while Mary had $7.oo.
How much did they have altogether?
Problem #1 Words  Solution

188. How much did Loretta take shopping?
Math 902 Transition to Algebra and Problem Solving
Jim took $23.00 with him to go shopping. His sister, Loretta took $13.00 more than he did.
How much did Loretta take shopping?
Problem #2 Words  Solution

189. How much did Loretta take shopping?
Math 902 Transition to Algebra and Problem Solving
Jim took $23.00 with him to go shopping. His sister, Loretta took $13.00 more than he did.
How much did Loretta take shopping?
Problem #2 Words  Solution

190. What is the capacity of the container (in quarts)?
Math 902 Transition to Algebra and Problem Solving
Barbara fills a container with 9 cartons of maple syrup. Each carton contains 2 quarts of maple syrup.
What is the capacity of the container (in quarts)?
Problem #3 Words  Solution

191. What was the total spent by Bonnie and Jim?
Math 902 Transition to Algebra and Problem Solving
Bonnie spent a total of $140 on her car. Jim spent 5 times the amount that Bonnie spent.
What was the total spent by Bonnie and Jim?
Problem #4 Words  Solution

192. What was the total spent by Bonnie and Jim?
Math 902 Transition to Algebra and Problem Solving
Bonnie spent a total of $140 on her car. Jim spent 5 times the amount that Bonnie spent.
What was the total spent by Bonnie and Jim?
Problem #4 Words  Solution

193. What was the difference in their weight?
Math 902 Transition to Algebra and Problem Solving
Jerry weighed himself. His weight was 175 lbs. He was 5 times heavier than his brother, Sam.
What was the difference in their weight?
Problem #5 Words  Solution

194. What was the difference in their weight?
Math 902 Transition to Algebra and Problem Solving
Jerry weighed himself. His weight was 175 lbs. He was 5 times heavier than his brother, Sam.
What was the difference in their weight?
Problem #5 Words  Solution

195. How many mangos were there in the box at first?
Math 902 Transition to Algebra and Problem Solving
Mary had a box of mangos. After giving 3 mangos each to 7 children, she had 20 left.
How many mangos were there in the box at first?
Problem #6 Words  Solution

196. How many mangos were there in the box at first?
Math 902 Transition to Algebra and Problem Solving
Mary had a box of mangos. After giving 3 mangos each to 7 children, she had 20 left.
How many mangos were there in the box at first?
Problem #6 Words  Solution

197. How many of each kind of cookies did he have left?
Math 902 Transition to Algebra and Problem Solving
Dylan bought 4 boxes of cookies. There were 12 chocolate and 8 sugar cookies in each box. He put together a platter of 40 chocolate and 25 sugar cookies for church.
How many of each kind of cookies did he have left?
Problem #7 Words  Solution

198. How many of each kind of cookies did he have left?
Math 902 Transition to Algebra and Problem Solving
Dylan bought 4 boxes of cookies. There were 12 chocolate and 8 sugar cookies in each box. He put together a platter of 40 chocolate and 25 sugar cookies for church.
How many of each kind of cookies did he have left?
Problem #7 Words  Solution

199. How many children were in the group?
Math 902 Transition to Algebra and Problem Solving
Mary had 1240 picture cards. She kept 80 cards for herself and gave the rest to a group of children. Each child received 8 cards.
How many children were in the group?
Problem #8 Words  Solution

200. How many children were in the group?
Math 902 Transition to Algebra and Problem Solving
Mary had 1240 picture cards. She kept 80 cards for herself and gave the rest to a group of children. Each child received 8 cards.
How many children were in the group?
Problem #8 Words  Solution

201. How much did Kyle spend on his purchase?
Math 902 Transition to Algebra and Problem Solving
Each pen cost 85 cents while a package of 3 pencils costs 65 cents. Kyle purchased 8 pens and 12 pencils.
How much did Kyle spend on his purchase?
Problem #9 Words  Solution

202. How much did Kyle spend on his purchase?
Math 902 Transition to Algebra and Problem Solving
Each pen cost 85 cents while a package of 3 pencils costs 65 cents. Kyle purchased 8 pens and 12 pencils.
How much did Kyle spend on his purchase?
Problem #9 Words  Solution

203. Math 902 Transition to Algebra and Problem Solving
For the past 4 months, Grace’s salary was $1895 per month. She saved $3032 during the 4 months and spent the rest.
How much did she spend?
Problem #10 Words  Solution

204. Math 902 Transition to Algebra and Problem Solving
For the past 4 months, Grace’s salary was $1895 per month. She saved $3032 during the 4 months and spent the rest.
How much did she spend?
Problem #10 Words  Solution

205. How much did he spend on his wife’s present?
Math 902 Transition to Algebra and Problem Solving
Bob had a total of $825 to spend on Christmas shopping. He spent 2/3 of it on his wife’s present.
How much did he spend on his wife’s present?
Problem #11 Words  Solution

206. How much did he have left?
Math 902 Transition to Algebra and Problem Solving
Simi withdrew $1224 from his savings. He spent half of it on fixing his car. One-third of what he had remaining was used for school.
How much did he have left?
Problem #12 Words  Solution

207. How much did he have left?
Math 902 Transition to Algebra and Problem Solving
Simi withdrew $1224 from his savings. He spent half of it on fixing his car. One-third of what he had remaining was used for school.
How much did he have left?
Problem #12 Words  Solution

208. What fraction of the cake was left?
Math 902 Transition to Algebra and Problem Solving
Sally took three-eight of a cake to her office to share with her office mates, and her sister ate one-fifth of the remaining portion.
What fraction of the cake was left?
Problem #13 Words  Solution

209. What fraction of the cake was left?
Math 902 Transition to Algebra and Problem Solving
Sally took three-eight of a cake to her office to share with her office mates, and her sister ate one-fifth of the remaining portion.
What fraction of the cake was left?
Problem #13 Words  Solution

210. How many eggs did she did she buy?
Math 902 Transition to Algebra and Problem Solving
Judy bought some eggs. She used 2/5 of the eggs to bake cakes. She had 18 eggs left.
How many eggs did she did she buy?
Problem #14 Words  Solution

211. How many eggs did she did she buy?
Math 902 Transition to Algebra and Problem Solving
Judy bought some eggs. She used 2/5 of the eggs to bake cakes. She had 18 eggs left.
How many eggs did she did she buy?
Problem #14 Words  Solution

212. How much money did Fred have at the beginning?
Math 902 Transition to Algebra and Problem Solving
Fred could not divide the amount of money in his pocket equally among his 4 kids. His wife gave him an additional $3 after which each of his 4 kids received $8.
How much money did Fred have at the beginning?
Problem #15 Words  Solution

213. How much money did Fred have at the beginning?
Math 902 Transition to Algebra and Problem Solving
Fred could not divide the amount of money in his pocket equally among his 4 kids. His wife gave him an additional $3 after which each of his 4 kids received $8.
How much money did Fred have at the beginning?
Problem #15 Words  Solution

214. Cindy received 2/5 of her grandfather’s estate which totaled $220,000.
Math 902 Transition to Algebra and Problem Solving
Cindy received 2/5 of her grandfather’s estate which totaled $220,000.
How much did she receive?
Problem #16 Words  Solution

215. Cindy received 2/5 of her grandfather’s estate which totaled $220,000.
Math 902 Transition to Algebra and Problem Solving
Cindy received 2/5 of her grandfather’s estate which totaled $220,000.
How much did she receive?
Problem #16 Words  Solution

216. How much was the total winnings?
Math 902 Transition to Algebra and Problem Solving
Marian’s portion of lottery ticket winnings was $1,575,000 which was 3/8 of the total.
How much was the total winnings?
Problem #17 Words  Solution

217. How much was the total winnings?
Math 902 Transition to Algebra and Problem Solving
Marian’s portion of lottery ticket winnings was $1,575,000 which was 3/8 of the total.
How much was the total winnings?
Problem #17 Words  Solution

218. How many bananas did he buy?
Math 902 Transition to Algebra and Problem Solving
Jimmy shops at the farmer’s market each weekend and buys twice as many bananas compared to the total amount of all the other fruits he purchases. he purchased 7 apples, 4 pears, and 3 oranges.
How many bananas did he buy?
Problem #18 Words  Solution

219. How many bananas did he buy?
Math 902 Transition to Algebra and Problem Solving
Jimmy shops at the farmer’s market each weekend and buys twice as many bananas compared to the total amount of all the other fruits he purchases. he purchased 7 apples, 4 pears, and 3 oranges.
How many bananas did he buy?
Problem #18 Words  Solution

220. How much money did Tristan have at the beginning?
Math 902 Transition to Algebra and Problem Solving
Tristan divided a certain amount of money into 3 equal shares. He gave the first share to Betty, the second share to Veronica, and then divide the remainder into 3 equal shares and gave one share to Archie. He kept the rest totaling $24.
How much money did Tristan have at the beginning?
Problem #19 Words  Solution

221. How much money did Tristan have at the beginning?
Math 902 Transition to Algebra and Problem Solving
Tristan divided a certain amount of money into 3 equal shares. He gave the first share to Betty, the second share to Veronica, and then divide the remainder into 3 equal shares and gave one share to Archie. He kept the rest totaling $24.
How much money did Tristan have at the beginning?
Problem #19 Words  Solution

222. How much does the dictionary cost?
Math 902 Transition to Algebra and Problem Solving
Tom spent three-quarters of his money on a dictionary. He spent one-half of the remainder on a calculator. The dictionary cost $30 more than the calculator.
How much does the dictionary cost?
Problem #20 Words  Solution

223. How much does the dictionary cost?
Math 902 Transition to Algebra and Problem Solving
Tom spent three-quarters of his money on a dictionary. He spent one-half of the remainder on a calculator. The dictionary cost $30 more than the calculator.
How much does the dictionary cost?
Problem #20 Words  Solution