Equations & Inequalities Study Guide

What value of x makes the equation true?

x - 55 = 248

• 206

• 4

• 193

• 303

Which statement about the following equation is true?

x + 2,400 = 3,200

• The value of x=5,600 makes the equation true because 3,200+2,400=5,600

• The value of x=800 makes the equation true because 800+2,400=3,200

• The value of x = 1.3 makes the equation true because 3,200/2,400=1.3

• The value of x=400 makes the equation true because

  3,200-2,400=400.

What is the value of q in the equation 0.3q = 1.74

• 5.8

• 0.522

• 2.04

• 1.44

Which value of m makes the equation true?

12 + m = 35

• 47

• 23

• 13

• 6

Which statement describes how to use an inverse operation to solve the equation n x 5 = 55?

• Divide both sides of the equation by 5.

• Multiply both sides of the equation by 5.

• Subtract 5 from both sides of the equation.

• Add 5 to both sides of the equation.

Sally bought 11 flashlights at the carnival. If she gave 5 away, which equation could be used to solve for the number of flashlights Sally has left?

• x = 11

• x + 11 = 5

• x - 5 = 11

• 11 = x + 5

A customer spends $58.31 on 7 bags of candy. If each bag costs c dollars, which statement is true?

• The equation 58.31c = 7

  can represent the scenario, and each bag costs $8.33.

• The equation

  c + 7 = 58.31

  can represent the scenario, and each bag costs $51.31

• The equation

  7c = 58.31

  can represent the scenario and each bag costs $8.33

• The equation

  c + 58.31 = 51.31

  can represent the scenario, and each bag costs $51.31

Six goldfish cost $25.38. If each goldfish, g, costs the same amount, which equation can be used to find the cost per goldfish correctly?

• g + 6 = 25.38

• 25.38g = 6

• g + 25.38 = 6

• 6g = 25.38

Samuel had 302 tickets left after the movie. He started with 3,034 tickets. How many tickets did Samuel sell?

• 2,732

• 3,336

• 2,857

• 4,062