Unit 2: Expressions and Equations

Use the Distributive Property to solve: 1/2(w-4)

1/2w - 2

Solve: 12 + 8= 2 x ?

12 + 8 = 20 = 2 x 10 = 20

Billy started a paper route with 21 customers. If he adds 3 new customers every week, how many weeks will it take to double the number of customers on his route?

7

Eight minus 5 times a number is 9. Which of the equations can be used to find the number? A. 8 - 5n = 9 B. 9 - 5n = 8 C. 5n - 8 = 9 D. 8 + 5n = 9

A. 8 - 5n = 9

What is the correct sequence of numbers? (Number Line) A. -2, 1, -3 B. 4, -4, -2 C. -8, -4, -2 D. 1, 5,-5

C. -8, -4, -2

Samantha is trying to decide between two bikes. The first bike costs $150 and has all the features that she wants. The second bike costs $20 more than half the cost of the first bike but does not have adjustable handlebars or extra padding on the seat. The cost of the second bike (b) can be represented by the equation 2(b − $20) = $150. How many dollars does the second bike cost?

b = 95 or $95

Solve: #22 on pg.267 h/-3 = 12

- 36

Use the Distributive Property to solve: 5(-3x + 7y)

-15x + 35y

Solve: -24 + (-12)

-36

Solve: #6 on pg. 287 5 + 1/7b= -2

-49

Solve: #20 on pg. 289 25 + 11/12b= 47

24

Let x represent the number of baseball cards that Katerina owns. Peter has 7 more cards than Katerina, and together they have 51 cards. Which equation can be used to find the number of baseball cards that Katerina owns? A. x + (x + 7) = 51 B. x + 7 = 51 C. x = 51 ÷ 7 D. 2(x + 7) = 51

Correct Answer A. x + (x + 7) = 51

Jaclyn is saving to buy a new dishwasher that costs $630. She has already saved $170, and plans on saving an additional $115 a month until she has enough to buy the dishwasher. She calculates how many months it will take to save up by subtracting 170 from 630 and then dividing by 115. Which of the equations below can be solved using these steps? A. 170x + 115 = 630 B. 115x + 170 = 630 C. 630x + 170x = 115 D. 630x - 170x = 115

Correct Answer B. 115x + 170 = 630

Which expression has the same value as 6(-6 + 3) + (-3)? A. 6(3) + (-3) B. 6(-3) + (-3) C. 6(-6) + 3 + (-3) D. 6(-6) + 6(3) + 6(-3)

Correct Answer B. 6(-3) + (-3)

Which steps would solve −82 + 14x = 16? A. subtract 82 from both sides of the equation, then divide both sides by 14 B. add 82 to both sides of the equation, then divide both sides by 14 C. add 82 to both sides of the equation, then multiply both sides by 14 D. subtract 82 from both sides of the equation, then multiply both sides by 14

Correct Answer B. add 82 to both sides of the equation, then divide both sides by 14

Helen went to an ice cream store and bought five ice cream sundaes for herself and her friends. A sundae costs $2.75, and toppings are extra. Three of the sundaes had one extra topping, one had two extra toppings, and Helen's sundae had three extra toppings. The total cost for all five sundaes was $17.75. The equation below can be used to find the cost of a single topping. (5 X $2.75) + 8t = $17.75 What is the cost, in dollars, of a single topping?

t= 0.50