Unit 3 Test Review 8th Grade PreAlgebra

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 + 2.5x = 10 + 3x

• 15 - 2.5x = 10

• 15 - 10 = 2.5x + 3x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 + 24x = 180 + 20x

• 150 - 24x = 180 - 20x

Select the situation that could be modeled by: 12 + 5x = 18+3x

• Derek charges a base fee of $12 to walk a dog plus $5 per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?
• Andy buys 12 sodas for $5 each. Alex buys 18 sodas for $3 each. If they each spent the same amount, how much did they spend?
• Brian charges $12 for a hat and $5 per shirt. Blake buys 3 hats and 18 shirts. How many hats and shirts must they sell to make the same amount of money?

Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm². Find the side length of the frame.

• 12 cm

• 13 cm

• 13 in

• 16 cm

5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

x=

• -6

• -9

• 2

• -5

solve for y

• -16

• -1

• -15

• -14

1. Joe asked for prices on two different gym memberships.

· One gym charges an initial fee of $30 and a monthly fee of $10.

· The other gym charges a monthly fee of $12.

Which equation could be used to find out how many months, m, it would take for both memberships to cost the same?

• A. 12m + 30 = 10m + 30

• B. 10m + 30 = 12m

• C. 10m = 12m

• 12m + 30 = 10m

Brooklyn began her school day with 25 pieces of gum and gave x amount away. Amy started out with 40 pieces of gum and gave twice as much away as Brooklyn did. How many pieces of gum did Brooklyn give away in order for her and Amy to have the same number of pieces left?

• 25 - x = 40 - 2x

• 25 - x = 40 - x

• 25x - x = 40x

• 24 - x = 40x