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Solving Algebra Equations

Let’s go step by step with solving Algebra 1 equations.

Step 1: Solving One-Step Equations

one-step equation means you only need one operation (addition, subtraction, multiplication, or division) to solve for the variable.

Example 1: Addition/Subtraction

Solve for x:
x + 5 = 12

Solution:

  • Subtract 5 from both sides:
    x = 12 – 5
    x = 7

Example 2: Multiplication/Division

Solve for y:
3y = 15

Solution:

  • Divide both sides by 3:
    y = 15 ÷ 3
    y = 5

Step 2: Solving Two-Step Equations

two-step equation means you need two operations to isolate the variable.

Example 1: Two Operations

Solve for x:
2x + 3 = 11

Solution:

  1. Subtract 3 from both sides:
    2x = 8
  2. Divide both sides by 2:
    x = 4

Example 2: Another Two-Step Equation

Solve for y:
5y – 7 = 18

Solution:

Simple Algebra Worksheet:

  1. Add 7 to both sides:
    5y = 25
  2. Divide both sides by 5:
    y = 5

Now download the PDF and practice from the Algebra worksheet.

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