Solving Equations Review

When solving a multi-step equation, what operation(s) can we use to remove the constant?

• Addition

• Subtraction

• Multiplication

• Division

In the following equation, what would be the first thing to do to solve for the variable?

10x - 7x +15 - 9 = 57

• Add 9 on both sides of the equation

• Divide both sides by -7

• Combine your like terms

• Separate your like terms

9x + 7 = 88

• 12

• 6

• 8

• 9

 $\frac{3}{8}$ y - 4 = 5

• 14

• 24

• 25

• 23

5x = 135

• 22

• 28

• 32

• 27

4 (3x - 7) = 32

• 5

• 7

• 4

• 6

How can I get rid of a number outside of the parentheses on a multi-step equation? Ex: 7(5x + 2) = 28

• Distribute the multiplier into the parentheses

• Add the multiplier to both sides of the equation

• Divide both sides by the multiplier

• Ignore the multiplier and parentheses all together

Which Property of Equality requires me to add a value on both sides of the equation?

• Subtraction Property

• Division Property

• Addition Property

• Multiplication Property

2x - 7 = -15

• -3

• -4

• 4

• 3

 $\frac{2}{3}$ x +  $\frac{5}{6}$ x = 15

• 9  $\frac{1}{6}$  

• 10

• 12

• 11  $\frac{2}{3}$