3-1/3-2 QUIZ

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: 8 + 4x = 12 + 3x.

• Winnie bought a family meal with 8 burgers and 4 fries. Wilson bought a family meal with 12 burgers and 3 fries. If they each paid the same amount, how much did they spend?
• Team A runs 8 drills that a 4 minutes each. Team B runs 12 drills that are 3 minutes each. Which team practices longer?
• The basketball team currently has 8 players and is growing by 4 players each month. The volleyball team has 12 players and is growing by 3 players each month. After how many months will they have the same number of players?

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

4k + 24 = 6k -10

• k = 17

• k =-17

• k= 5

• k = 1/5

13y - 18 = -5y + 36

• y = 3

• y = -3

• y= 9

• y = -9

7p - 5 = 6p + 8

• p = 13

• p = -13

• p = 1/13

• p = - 1/13

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

3y + 10.5 = 6.5 + 2.5y

• y = -8

• y = 4

• y = 8

• y = -4