Equations and Inequalities on Both Sides

14p - 8 = 22 + 20p

• -5

• 5

• 30

• -30

• x ≥ 2
• x ≥ -2
• x ≤ 2
• x ≤ -2

• x > 1
• x > -1
• x < 1
• x < -1

• x ≤ 4
• x ≤ -4
• x ≥ 4
• x ≥ -4

What is the value of z that makes the equation 6z-12=2z+60 true?

2+8x = 5(5x-3)

Solve the equation for x.
-8x - 8 + 3x - 6 = -3x + 2

• x = -8

• x = 8

• x = 2

• x = -2

Ms. Bhatt needs a ride to work from the mechanic’s shop. The table shows the amounts Uber and Lyft charge for a trip and their cost per mile. Which inequality represents the number of miles that would make Uber less expensive than Lyft?

• 5.75 + x < 4.50 + .75x

• 5.75 + x > 4.50 + .75x

• 5.75 + .75x > 4.50 + x

• 5.75 + .75x < 4.50 + x

The model represents an equation. What value of x makes the equation true? (only type a number for your answer)

A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which inequality could be used to determine the minimum number of cakes, c, they must sell that day to earn a profit?

• 15c < 1800 + 10c

• 15c > 1800 + 10c

• 15c = 1800 + 10c

• 10c < 1800 + 15c