CUA 4 Review - 8th Grade

The equation 2x + 4 = 12 - 2x is modeled below.

Which equation matches the model?

• • -2x -4 = 13 - 2x

• 2x + 4 = 12 - x

• 2x + 4 = 12 + -2x

What is the solution to the equation 3x - 18 = x + 30?

• X = 9

• X = 24

• X = 12

Two eighth-grade classes are selling raffle tickets to raise money. One class is selling tickets for $2.50 each and has already raised $350. The other class is selling tickets for $3.00 each and has already raised $225. Which equation can be used to find $t$, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?

• 3t + 350 = 2.50t + 225

• 350t + 2.50 = 225t + 3

• 2.50t + 350 = 3t + 225

What is the solution to the equation x - 17 = -4x + 24.25 ?

• x = 13.75

• x = 8.25

• x = -13.75

• x = -8.25

What is the solution to this equation? 2x + 3 = x - 4

• x = 10

• x = 5

• x = -7

• x = 17

Frank and Erica are selling ribbons to raise money for the football team. The graph shows the linear relationship between the number of ribbons each of them has left to sell and the number of days that they have been selling ribbons.

What day will they have the SAME number of ribbons left to sell?

(Where do the lines cross?)

• Day 15

• Day 48

• Day 36

• Day 18

Julie started with 20 pieces of gum and gave away X pieces.

Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did.

How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

• 20 - X = 35 - 2X

• • - X + 20 = 35 + 2X

• 20X + X = 35X

Veronica is ordering trophies for her school.

-Company P charges $3.50 for each trophy and a one-time engraving fee of $25.

-Company R charges $7.50 for each trophy and a one-time engraving fee of $17.

Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at Company P is less than the total charge at Company R?

• 3.50x + 25 < 7.50 + 17x

• 3.50 + 25x > 7.50 + 17x

• 3.50x + 25 < 7.50x + 17

• 3.50x + 25 > 7.50x + 17

Which situation is best represented by the inequality, 7.50x + 50 > 9.50x + 40?

• John can rent a bicycle from Bikes-R-US or We-Got-Bikes. Bikes-R-US charges $7.50 an hour and a $50 deposit. We-Got-Bikes charges $9.50 an hour and a $40 deposit. After how many hours will it cost less to rent from Bikes-R-US than it would from We-Got-Bikes?

• Jose earned $7.50 per hour and $50 in tips. Alicia earned $9.50 per hour and $40 in tips. Who earned the greater amount of money?

• Jose earns $7.50 per hour and $50 in tips. Alicia earns $9.50 per hour and $40 in tips. After how many house will Alicia earn more than Jose?

• 3

• −9

• −1

• 27