Algebraic Equations Using Inverse Operations

An inverse operation is

• reversing the sign in an inequality
• using the opposite operation to solve equations
•  A number’s distance from zero

Choose the first step in solving the following equation.
-3y - 12 = 14

• add 3 from both sides
• add 12 to both sides
• subtract 12 from both sides

Solve:
19  +  a  =  –40

• –950
• –59
• –31
• 2.6

Solve:
x – 8 = –5 

• 13
• –13
• 3
• –3

Solve:

• 20
• 7
• 10
• 3

Solve:
6b = 30

• –24
• 24
• 180
• 5

Solve:

• 152
• 176
• 5
• 27

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Solve:
3(3x - 6) = 18

• x = 4
• x = -4
• no solution
• infinite solutions

Solve for x:
8x - 10 = -34

• 4
• 3
• -3
• -24