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?

• 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.

Which value of m makes the equation true?

• 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.

Is this an equation or an inequality?

8 = 2x

• Equation

• Inequality

Is this an equation or an inequality?

12x - 7 < 44

• Equation

• Inequality

The cost to rent a rug cleaner for a day is $25 plus $15 per hour.

Write an inequality that can be used to show how many hours (x) you can rent the rug cleaner for so that the charges will be less than $130.

Mathematical Equivalence

OFF

​ ​ (a)   function a relationship with a constant rate of change represented by a graph that forms a straight line

• Linear equation in two variables

• Linear inequality in two variables

Which of the following is an equation?

• 2x - 3 = 7

• 2x + 3

• 2x + 3x > 7

• 2x + 3 < 0

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