This document provides examples of solving equations by using properties of equality. It gives the identity property and shows that multiplying or dividing both sides of an equation by the same nonzero number preserves equality. It then has two examples of using these properties to solve equations: one set involves solving for x and y, and another set involves solving equations with fractions for t and l.

1. Warm up 1 - 7
Determine which value of x is a solution
1. x – 14 = 8 ; x = 6, 22, or 32
2. x – 7 = 14; x = 2, 7, or 21
Solve
3. 7 + t = 12
4. m – 5 = -10
5. N + (-14) = -31

2. 1-8 Solving Equations by
Multiplying or Dividing

3. Properties
identity property: product of any number and
one is that number.
5(1) = 5
division property of equality: divide both
sides of an equation by the same nonzero
number, and the statement will still be true.
Multiplication property of equality: multiply both
sides of an equation by the same nonzero
number, and the statement will still be true.

4. Ex. 1: Solve
1. 6x = 48 2. -9y = 45

5. Ex. 2: Solve
t l
= 60 =4
5 −15