1. Name __________________________________________ Date ____________
Polizzi/Woska Math – 6
Study Guide
Math Test
Two-Step Equations
Solving Equations
A two-step equation is an equation that contains two operations.
Example 1:
2y + 3 = 11
Step 1: 2y + 3 – 3 = 11 – 3 (Subtract 3 from both sides to undo the addition.)
2y = 8
Step 2: 2y = 8 (Divide each side by 2 to undo the multiplication.)
2 2
y=4
Example 2:
2b – 18 = 34
Step 1: 2b – 18 + 18 = 34 + 18 (Add 18 to each side.)
2b = 52
Step 2: 2b = 52 (Divide each side by 2.)
2 2
b = 26
Example 3:
x
+ 5 = 10
2
x
Step 1: + 5 – 5 = 10 – 5 (Subtract 5 from each side.)
2
x
=5
2
x
Step 2: (2) = 5 (2) (Multiply each side by 2.)
2
x = 10
Example 4:
x
-3=2
4
x
Step 1: - 3 + 3 = 2 + 3 (Add 3 to each side.)
4
x
=5
4
x
Step 2: (4) = 5 (4) (Multiply each side by 4.)
4
x = 20