1. WOW!!! We’re Making GREAT Progress!!

2. Evaluate the expression 2 3 – 2 + 5

3. Evaluate the expression 3 2 – 5 + 2

4. Evaluate the expression 4 2 – 10 + 5

5. The Smiths have 3 dogs that they need to board. They pay $15 per dog plus $8 a day per dog for boarding. Write an expression to represent the amount they will pay for h days of boarding services.

6. Dr. Brantley has a TON of papers to grade. She decided to pay Mary $10 plus $1.00 per paper graded. Write an expression to represent the amount they will pay for h papers graded.

7. The Smiths have 3 children that need babysitting. They pay $15 plus $5 an hour. Write an expression for the amount they will pay for h hours of babysitting.

8.  Which expression is equivalent to 15y 3 + 5x? A) 5(y 3 + x) B) 20y 3 x 3 C) 5(3y 3 + x) D) 3(5y 3 + x)

9.  Which expression is equivalent to 10y 3 + 5x? A)5(2y 3 + x) B) 15y 3 x 3 C) 5(2y 3 + 2x) D) 5(10y 3 + x)

10. Which expression is equivalent to 12y 3 + 6x? 3(4y 3 +2x) 18y 3 x 3 4(3y 3 + x) 6(2y 3 + 2x)

11. The rental fee for a golf cart for the fair parade is $12 plus $5 for each hour the golf cart is used. How much will it cost if you rent the golf cart for 3 hours?

12. The rental fee for a car is $100 plus $37 for each day you rent the car. How much will it cost if you rent the car for a week?

13. You’re having a birthday party at SK8 city!! It costs $60 to rent the skating rink plus $10 per person attending. How much will it cost if 15 people come to your party??

14. Which expression is equivalent to 2x – 10 A) 2x + 2x -10 B) x 2 - 10 C) x- 5 D) x + x -10

15. Which expression is equivalent to 6x + 4 A) x + x + x + x + x + x+4 B) x 6 + 4 C) 3x + 2 D) 6 + x + 4

16. Which expression is equivalent to 8x + 10 A) x 8 + 10 B) 8 + x + 10 C) x + x + x + x + x + x + x + x - 10 D) 2x + 6x + 5 + 5

17. Are the two expressions equivalent? Show how you know. y 2 + 2 + y 2 + 5 2y 2 + 7

18. Are the two expressions equivalent? Show how you know. z 2 + 2z + z 2 + 5 2z 2 + 7z

19. Are the two expressions equivalent? Show how you know. y 2 + 2z + y 2 + 5 2y 2 + 2z + 5

20.  The formula for finding the Volume of a cube is, where s is the length of one side of the cube. What is the volume of a cube with side length of 5 cm? 

21.  The formula for finding the Volume of a cube is, where s is the length of one side of the cube. What is the volume of a cube with side length of 2 cm? 

22.  The formula for finding the Volume of a cube is, where s is the length of one side of the cube. What is the volume of a cube with side length of 4 cm? 

23. If a cell phone company charges $25.25 for service plus $0.15 for each text message per month, which expression represents the cost of m (monthly charges) if t text messages are sent. A. 25.25m + 0.15+ t B. 25.25 + 0.15t C. 25.25m + t D. 25.25m +15t

24. If a cell phone company charges $35.75 for service plus $0.12 for each text message per month, which expression represents the cost of m (monthly charges) if t text messages are sent. 35.75m + 0.12t 35.75m + 0.12 + t 35.75m + 12t 35.75m + 0.12

25. If a cell phone company charges $55.95 for service plus $0.15 for each text message per month, which expression represents the cost of m (monthly charges) if t text messages are sent. 55.95m + 0.15 – t 55.95m + 0.15 + t 55.95m + 5t 55.95m + 0.15t

26. Which situation could represent the expression 100 – 3x? a) There are 100 people in school and 3 get sick and go home. b) There are 100 students on a team and 3 in each class get sick and go home. c) There are 100 students in Dr. Brantley’s classroom and 3 more come in. d) Dr. Brantley has 100 students and each class adds 3 more.

27. Which situation could represent the expression 55 + 9b? a) It costs $55 to rent a golf cart plus $9 per hour rented. b) It costs $55 to rent a golf cart and they raised the price $9. c) Dr. Brantley paid $64 for a pair of blue jeans. d) What is 55 time 9b if b=3.

28. Which situation could represent the expression 25 + 5b? a) Dr. Brantley paid Mary $25 plus $5 per hour to grade papers. b) It costs $30 buy a blue pen. c) Dr. Brantley ran 25 miles, then 5 more. d) Dr. Brantley gave Mary $30 per hour to grade paper.

29. Evaluate the expression (4+2) 2 - 5

30. Evaluate the expression (5+2) 2 - 3

31. Evaluate the expression (5+5) 2 + 5

32. Evaluate the expression: 100  2 2 + 5. 3

33. Evaluate the expression: 80  4 2 + 7. 5

34. Evaluate the expression: 150  5 2 - 3. 2

35. What phrase is NOT equivalent to this expression? 10-5 a) 10 less than 5 b) 5 less than 10 c) 10 decreased by 5 d) 10 subtract 5

36. What phrase is NOT equivalent to this expression? 12-5 a) 5 less than 12 b) 12 less than 5 c) 12 decreased by 5 d) 12 minus 5

37. What phrase is NOT equivalent to this expression? 10 x 5 a) 10 groups of 5 b) The product of 10 and 5 c) The quotient of 10 and 5 d) 10 multiplied by 5

38.  Which situation could represent the expression? 1.20x + 20 $1.20 per game plus $20 to bowl. $1.20 + $20 for each game to bowl. $20 for each hour to rent a bike plus $1.20 for a water bottle. $20 per hour to babysit 12 children.

39.  Which situation could represent the expression? 1.50x + 20 $1.50 + $20 for each game to bowl. $20 per hour to babysit 1.50 children. $1.50 per game plus $20 to bowl. $20 for each hour to rent a bike minus $1.50 for bringing your own water bottle.

40.  Which situation could represent the expression? 2.50x + 36 $38.50 for a new jacket from the Stable. $36 per hour to work 2.50 hours at the Stable. $2.50 per hour + $36 to work at the Stable. $36 for each hour to work at the Stable minus $2.50 for the juice you drank.

41. Use the Distributive Property, to evaluate the expression 5(2 + x).

42. Use the Distributive Property, to evaluate the expression 12(x + 5).

43. Use the Distributive Property, to evaluate the expression 15(y + x).

44. Which word phrase is NOT equivalent to 25x? 25 multiplied by x 25 groups of x 25 + x The product of 25 and x

45. Which word phrase is NOT equivalent to 5x? 5 multiplied by x 5 groups of x The product of 5 and x The quotient of 5 and x

46. Which word phrase is NOT equivalent to 48x? 48 times x 48 groups of x The product of 48 and x The difference between 48 and x

47. Which word phrase is equivalent to this expression? 5x + 9  nine more than the product of 5 and x  the product of five and x and nine  five times x minus nine  the difference of 5x and 9

48. Which word phrase is equivalent to this expression? 12x – 32  Thirty-two more than the product of 12 and x  the quotient of twelve and x minus thirty-two  12 times x minus thirty-two  the product of 12x and 32

49. Which word phrase is equivalent to this expression? 5x 15  fifteen more than the product of 5 and x  the product of five and x and fifteen  five times x plus 15  the difference of 5x and 15

50. Write two equivalent expressions for 5 + y + 4 + 3y

51. Write two equivalent expressions for 10 + x 2 + 9 + 3 x 2

52. Write two equivalent expressions for 9 + y 2 + 4 + y 2

53. The formula for finding the Volume of a rectangular prism can be stated as V = l. w. h, where l = length of the prism, w = width of the prism and h = height of the prism. Use the formula to find the volume of a prism with length of 10 inches, width of 1.5 inches, and a height of 5 inches. Show your work.

54. The formula for finding the Volume of a rectangular prism can be stated as V = l. w. h, where l = length of the prism, w = width of the prism and h = height of the prism. Use the formula to find the volume of a prism with length of 12 inches, width of 3.5 inches, and a height of 6 inches. Show your work.

55. The formula for finding the Volume of a rectangular prism can be stated as V = l. w. h, where l = length of the prism, w = width of the prism and h = height of the prism. Use the formula to find the volume of a prism with length of 25 inches, width of 1.5 inches, and a height of 5 inches. Show your work.

56. Simplify: 6x + 7+ x + 9.

57. Simplify: 7x + 8y+ y + 12x.

58. Simplify: 7x 2 + 3y+ y + x 2 +12x.

59. Determine whether the following expressions are equivalent: 5x + 2 and 5(x + 2). Explain your answer in words.

60. Determine whether the following expressions are equivalent: 6x + 5 and 5(x + 1). Explain your answer in words.

61. Determine whether the following expressions are equivalent: 6x + 2 and 2(3x + 1). Explain your answer in words.

62. The formula for finding the Surface Area of a cube is SA=6s 2, where s is the length of one side of the cube. What is the surface area of a cube with side length of 3 meters?

63. The formula for finding the Surface Area of a cube is SA=6s 2, where s is the length of one side of the cube. What is the surface area of a cube with side length of 6 meters?

64. The formula for finding the Surface Area of a cube is SA=6s 2, where s is the length of one side of the cube. What is the surface area of a cube with side length of 4 meters?

65. Write the expression “three to the third power divided by nine” and then evaluate it.

66. Write the expression “six squared divided by two” and then evaluate it.

67. Write the expression “five cubed divided by twenty-five” and then evaluate it.

68. Write an expression equivalent to x + x + x + y + y + y

69. Write an expression equivalent to x + x + x + x + y + y + z 2

70. Write an expression equivalent to x 2 + x + x + y + y + y + x 2 + x 2

71. At the Stable, Mrs. Weber sells juice for $3 each and chips for $2 each. Write an algebraic expression to represent her sales for selling j juices and c chips. Use this expression to determine how much she will earn if she sells 10 juices and 12 bags of chips.

72. At the Stable, Mrs. Weber sells juice for $2 each and chips for $.75 each. Write an algebraic expression to represent her sales for selling j juices and c chips. Use this expression to determine how much she will earn if she sells 12 juices and 15 bags of chips.

73. At the Stable, Mrs. Weber sells notebook paper for $3 each and pens for $2 each. Write an algebraic expression to represent her sales for selling n paper and p pens. Use this expression to determine how much she will earn if she sells 12 packs of paper and 12 pens.