Equations and Inequalities with Variable on Both Sides

• All Real Numbers

• No Solution

Solve: 5x - 14 = 8x + 4

• 6
• -6
• -18/13
• 10/3

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

• x ≥ 2
• x ≥ -2
• x ≤ 2
• x ≤ -2

​ ​

• x > 1
• x > -1
• x < 1
• x < -1

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

• x ≤ 4
• x ≤ -4
• x ≥ 4
• x ≥ -4

 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