Equations and Inequalities

Solve for f:
f - 4 = 6f + 26

• f = -5
• f = 5
• f = 6
• f = -6

Solve for x:
5x - 14 = 8x + 4

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

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? 

• 30 + 0.15x = 36 + 0.10x
• 30 - 0.15x = 36 - 0.10x
• 30 + 36 = 0.10x + 0.36x
• 36 - 30 = 0.36x + 0.10x

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. Write an equation that could be used to determine how many rentals would be needed for the price to be equal.

• 25 - x = 15 - 2x
• 25 + 15 = x + 2x
• 25x + 1 = 15x + 2
• 25 + x = 15 + 2x

Write an inequality to represent the following relationship:
Three times a number minus two is less than the number plus ten.

• 3x - 2 < x + 10
• 2 - 3x < x + 10
• 3x - 2 > x + 10
• 2 - 3x > x + 10

Tags

CCSS.7.EE.B.4B

-2x - 4 < 14

• x < - 5
• x > -5
• x < -9
• x > -9

Tags

CCSS.7.EE.B.4B

What inequality does the number line graph represent?

• x ≤ 4
• x ≥ -4
• x < -4
• x < 4

What inequality does the number line graph represent?

• x ≥ 3
• x > 3
• x < -3
• x ≤ 3

Solve   -3x + 5 = -16

• 9
• 8
• -7
• 7

Tags

CCSS.7.EE.B.4A

Solve   7y - 4 = -11

• 1
• 2
• -1
• -2

Tags

CCSS.7.EE.B.4A