Equations & Inequalities Quiz Review

The Harris County Fair costs $14.00 to get in and $1.50 per ride, while the Tomball County Fair costs $9.00 to get in and $2.00 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?

• 14x + 1.5 = 9x + 2

• 14 + 1.5x = 9 + 2x

• 14.50 - 1.5x = 9 - 2x

• 14.50 - 9 = 2x + 1.5x

What value of n will balance the equation: 2n + 14 = 6n - 2?

• 4

• -4

• 3

• -3

You bought a $4 soda and three medium popcorns. You spent a total of $31. Write a 2-step equation to find the cost of one medium popcorn.

• 4 + x = 31

• 4x = 31

• 31 - 3 = -4x

• 3x + 4 = 31

Tags

CCSS.7.EE.B.4A

5x + 9 = 3x - 9

• x = -9

• x = 9

• x = 0

• x = 18

A rental car agency charges $26.00 per day plus per mile $0.15. Another rental car agency charges $32.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? 

• 20

• 390

• 200

• 320

4w + 3 = w - 12

• w = 5

• w = -3

• w = 3

• w = -5

At Gamestop you can buy a Xbox One for $300.00 and each game to go with it would cost $50.00. Or, you can buy a Playstation 5 for $400.00 and each game for $40.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 

• 300x + 50 = 400 + 40x

• 300 + 50x = 400 + 40x

• 400 - 300 = 50 x + 40x

• 300 - 50x = 400 - 40x

a + 9 > -15

• a > -24

• a > 24

• a > 6

• a > -6

Tags

CCSS.7.EE.B.4B

-2y + 2 < 24

• y < -11

• y < -13

• y > -13

• y > -11

Tags

CCSS.7.EE.B.4B

2x + 6 = 18

• x = -12

• x = 12

• x = -6

• x = 6

Tags

CCSS.7.EE.B.4A