1. Applications

2. Writing Algebraic Expressions
Addition Words

3. Writing Algebraic Expressions
Addition Words
sum

4. Writing Algebraic Expressions
Addition Words
sum
more than

5. Writing Algebraic Expressions
Addition Words
sum
more than
plus

6. Writing Algebraic Expressions
Addition Words
sum
more than
plus
added

7. Writing Algebraic Expressions
Addition Words
sum
more than
plus
added
increased by

8. Writing Algebraic Expressions
Subtraction Words

9. Writing Algebraic Expressions
Subtraction Words
less than

10. Writing Algebraic Expressions
Subtraction Words
less than
minus

11. Writing Algebraic Expressions
Subtraction Words
less than
minus
decreased by

12. Writing Algebraic Expressions
Subtraction Words
less than
minus
decreased by
subtracted from

13. Writing Algebraic Expressions
Subtraction Words
less than
minus
decreased by
subtracted from
difference between

14. Writing Algebraic Expressions
Multiplication Words

15. Writing Algebraic Expressions
Multiplication Words
times

16. Writing Algebraic Expressions
Multiplication Words
times
multiplied by

17. Writing Algebraic Expressions
Multiplication Words
times
multiplied by of

18. Writing Algebraic Expressions
Multiplication Words
times
multiplied by of
twice

19. Writing Algebraic Expressions
Multiplication Words
times
multiplied by of
twice
product

20. Writing Algebraic Expressions
Multiplication Words
times
multiplied by of
twice
product
each

21. Writing Algebraic Expressions
Division Words

22. Writing Algebraic Expressions
Division Words
quotient

23. Writing Algebraic Expressions
Division Words
quotient
divided by

24. Writing Algebraic Expressions
Division Words
quotient
divided by
ratio

25. Writing Algebraic Expressions
Division Words
quotient
divided by
ratio
per

26. Caution
Because subtraction and division are not commutative operations it is important to correctly translate expressions involving them.

27. Caution
When 5 is subtracted from 7

28. Caution
When 5 is subtracted from 7
the answer is 2

29. Caution
When 5 is subtracted from 7
the answer is 2
But – 7 = -2

30. But 5 – 7 = -2 and 7 – 5 = 2 Caution When 5 is subtracted from 7
the answer is 2
But – 7 = -2
and – 5 = 2

31. so
when 5 is subtracted from 7

32. so
when 5 is subtracted from 7
we write

33. so
when 5 is subtracted from 7
we write
7 – 5

34. so
when a number is subtracted from 10

35. so
when a number is subtracted from 10
we write
10 – x

36. so
when a number is subtracted from 10
we write
10 – x
not
x - 10

37. Writing Algebraic Equation
Twice a number decreased by 3 is 42

38. Writing Algebraic Equation
Twice a number decreased by 3 is 42

39. Writing Algebraic Equation
Twice a number decreased by 3 is 42

40. Writing Algebraic Equation
Twice a number decreased by 3 is 42

41. Writing Algebraic Expressions
The product of a number and 12 decreased by 7 is 105

42. Writing Algebraic Expressions
The product of a number and 12 decreased by 7 is 105

43. Writing Algebraic Expressions
The product of a number and 12 decreased by 7 is 105

44. Writing Algebraic Expressions
The product of a number and 12 decreased by 7 is 105

45. Writing Algebraic Expressions
The quotient of a number and the number plus 4 is 28

46. Writing Algebraic Expressions
The quotient of a number and the number plus 4 is 28

47. Writing Algebraic Expressions
The quotient of a number and the number plus 4 is 28

48. Writing Algebraic Expressions
The quotient of a number and the number plus 4 is 28

49. Writing Algebraic Expressions
The quotient of a number and the number plus 4 is 28

50. Writing Algebraic Expressions
the quotient of a number and 4,
plus the number, is 19

51. Writing Algebraic Expressions
the quotient of a number and 4,
plus the number, is 19

52. Writing Algebraic Expressions
the quotient of a number and 4,
plus the number, is 19

53. Writing Algebraic Expressions
the quotient of a number and 4,
plus the number, is 19

54. Writing Algebraic Expressions
the quotient of a number and 4,
plus the number, is 19

55. Writing Algebraic Expressions
the quotient of a number and 4,
plus the number, is 19

56. Distinguishing between expressions and equations
Decide whether each is an expression or an equation.

57. Distinguishing between expressions and equations
Decide whether each is an expression or an equation.
2(3 + x) - 4x + 7

58. Distinguishing between expressions and equations
Decide whether each is an expression or an equation.
2(3 + x) - 4x + 7

59. Distinguishing between expressions and equations
Decide whether each is an expression or an equation.
2(3 + x) - 4x + 7
2(3 + x) - 4x + 7 = -1

60. Distinguishing between expressions and equations
Decide whether each is an expression or an equation.
2(3 + x) - 4x + 7
2(3 + x) - 4x + 7 = -1

61. Distinguishing between expressions and equations
Decide whether each is an expression or an equation.
2(3 + x) - 4x + 7
2(3 + x) - 4x + 7 = -1

62. Solving an Applied Problem

63. Solving an Applied Problem
Read the problem

64. Solving an Applied Problem
Read the problem
Assign a variable to represent the unknown value

65. Solving an Applied Problem
Read the problem
Assign a variable to represent the unknown value
Write an equation using the variable expression

66. Solving an Applied Problem
Read the problem
Assign a variable to represent the unknown value
Write an equation using the variable expression
Solve the equation

67. Solving an Applied Problem
Read the problem
Assign a variable to represent the unknown value
Write an equation using the variable expression
Solve the equation
State the answer

68. Solving an Applied Problem
Read the problem
Assign a variable to represent the unknown value
Write an equation using the variable expression
Solve the equation
State the answer
Check the answer

69. Application of Linear Equations
The length of a rectangle is 1 cm more than twice the width. The perimeter of the rectangle is 110 cm. Find the length and the width.

70. Application of Linear Equations
The length of a rectangle is 1 cm more than twice the width. The perimeter of the rectangle is 110 cm. Find the length and the width.

71. Application of Linear Equations
The length of a rectangle is 1 cm more than twice the width. The perimeter of the rectangle is 110 cm. Find the length and the width.

72. Application of Linear Equations
The length of a rectangle is 1 cm more than twice the width. The perimeter of the rectangle is 110 cm. Find the length and the width.

92. Application of Linear Equations
Two outstanding major league pitchers in recent years are Randy Johnson and Johan Santana.

93. Application of Linear Equations
Two outstanding major league pitchers in recent years are Randy Johnson and Johan Santana. In 2004, the two pitchers had a combined total of 555 strikeouts.

94. Application of Linear Equations
Two outstanding major league pitchers in recent years are Randy Johnson and Johan Santana. In 2004, the two pitchers had a combined total of 555 strikeouts. Johnson had 25 more strikeouts than Santana.

95. Application of Linear Equations
Two outstanding major league pitchers in recent years are Randy Johnson and Johan Santana. In 2004, the two pitchers had a combined total of 555 strikeouts. Johnson had 25 more strikeouts than Santana.
How many strikeouts did
each pitcher have.

96. Johnson had 25 more strikeouts than Santana. How many strikeouts did
each pitcher have.

97. Johnson had 25 more strikeouts than Santana. How many strikeouts did
each pitcher have.

98. Johnson had 25 more strikeouts than Santana. How many strikeouts did
each pitcher have.

99. Johnson had 25 more strikeouts than Santana. How many strikeouts did
each pitcher have.

100. Johnson had 25 more strikeouts than Santana. How many strikeouts did
each pitcher have.

109. Application of Linear Equations
In 2002 there were 301 long-distance area codes in the United States.

110. Application of Linear Equations
In 2002 there were 301 long-distance area codes in the United States. This was an increase of 250% over the number when the area code plan organized in 1947.

111. Application of Linear Equations
In 2002 there were 301 long-distance area codes in the United States. This was an increase of 250% over the number when the area code plan organized in How many area codes were there in 1947?

112. Application of Linear Equations
In 2002 there were 301 long-distance area codes in the United States. This was an increase of 250% over the number when the area code plan organized in How many area codes were there in 1947?

113. Application of Linear Equations
In 2002 there were 301 long-distance area codes in the United States. This was an increase of 250% over the number when the area code plan organized in How many area codes were there in 1947?

114. Application of Linear Equations
In 2002 there were 301 long-distance area codes in the United States. This was an increase of 250% over the number when the area code plan organized in How many area codes were there in 1947?

115. Application of Linear Equations
In 2002 there were 301 long-distance area codes in the United States. This was an increase of 250% over the number when the area code plan organized in How many area codes were there in 1947?

116. Application of Linear Equations
In 2002 there were 301 long-distance area codes in the United States. This was an increase of 250% over the number when the area code plan organized in How many area codes were there in 1947?

117. Application of Linear Equations
In 2002 there were 301 long-distance area codes in the United States. This was an increase of 250% over the number when the area code plan organized in How many area codes were there in 1947?

125. Application of Linear Equations
After winning the state lottery, Mark LaBeau has $40,000 to invest.

126. Application of Linear Equations
After winning the state lottery, Mark LaBeau has $40,000 to invest. He will put part of the money in an account paying 4% interest

127. Application of Linear Equations
After winning the state lottery, Mark LaBeau has $40,000 to invest. He will put part of the money in an account paying 4% interest and the remainder into stocks paying 6% interest.

128. Application of Linear Equations
After winning the state lottery, Mark LaBeau has $40,000 to invest. He will put part of the money in an account paying 4% interest and the remainder into stocks paying 6% interest. His accountant tells him that the total annual income from these investments should be $2040.

129. Application of Linear Equations
After winning the state lottery, Mark LaBeau has $40,000 to invest. He will put part of the money in an account paying 4% interest and the remainder into stocks paying 6% interest. His accountant tells him that the total annual income from these investments should be $ How much should he invest at each rate?

130. Application of Linear Equations
After winning the state lottery, Mark LaBeau has $40,000 to invest. He will put part of the money in an account paying 4% interest and the remainder into stocks paying 6% interest.

131. Application of Linear Equations
After winning the state lottery, Mark LaBeau has $40,000 to invest. He will put part of the money in an account paying 4% interest and the remainder into stocks paying 6% interest.

132. Application of Linear Equations
After winning the state lottery, Mark LaBeau has $40,000 to invest. He will put part of the money in an account paying 4% interest and the remainder into stocks paying 6% interest.

155. Application of Linear Equations
A chemist must mix 8 L of 40% acid solution

156. Application of Linear Equations
A chemist must mix 8 L of 40% acid solution with some 70% solution

157. Application of Linear Equations
A chemist must mix 8 L of 40% acid solution with some 70% solution to get a 50% solution.

158. Application of Linear Equations
A chemist must mix 8 L of 40% acid solution with some 70% solution to get a 50% solution. How much of the 70% solution should be used?

159. Application of Linear Equations
A chemist must mix 8 L of 40% acid solution with some 70% solution to get a 50% solution. How much of the 70% solution should be used?

160. Application of Linear Equations
A chemist must mix 8 L of 40% acid solution with some 70% solution to get a 50% solution. How much of the 70% solution should be used?

161. Application of Linear Equations
A chemist must mix 8 L of 40% acid solution with some 70% solution to get a 50% solution. How much of the 70% solution should be used?

162. Application of Linear Equations
A chemist must mix 8 L of 40% acid solution with some 70% solution to get a 50% solution. How much of the 70% solution should be used?

185. Application of Linear Equations
The octane rating of gasoline is a measure of its antiknock qualities.

186. Application of Linear Equations
The octane rating of gasoline is a measure of its antiknock qualities. For a standard fuel, the octane rating is the percent of isooctane.

187. Application of Linear Equations
The octane rating of gasoline is a measure of its antiknock qualities. For a standard fuel, the octane rating is the percent of isooctane. How many liters of pure isooctane

188. Application of Linear Equations
The octane rating of gasoline is a measure of its antiknock qualities. For a standard fuel, the octane rating is the percent of isooctane. How many liters of pure isooctane should be mixed with 200 L of 94% isooctane, referred to as 94 octane,

189. Application of Linear Equations
The octane rating of gasoline is a measure of its antiknock qualities. For a standard fuel, the octane rating is the percent of isooctane. How many liters of pure isooctane should be mixed with 200 L of 94% isooctane, referred to as 94 octane, to get a mixture that is 98% isooctane?

190. How many liters of pure isooctane should be mixed with 200 L of 94% isooctane, referred to as 94 octane, to get a mixture that is 98% isooctane?

191. How many liters of pure isooctane should be mixed with 200 L of 94% isooctane, referred to as 94 octane, to get a mixture that is 98% isooctane?

192. How many liters of pure isooctane should be mixed with 200 L of 94% isooctane, referred to as 94 octane, to get a mixture that is 98% isooctane?

193. How many liters of pure isooctane should be mixed with 200 L of 94% isooctane, referred to as 94 octane, to get a mixture that is 98% isooctane?

194. How many liters of pure isooctane should be mixed with 200 L of 94% isooctane, referred to as 94 octane, to get a mixture that is 98% isooctane?

217. L 1.3 #
Every Other Odd Problem
1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41