Algebra I
Lesson 1 of 4 8 min +60 XP

Solving Linear Equations

Isolate the variable step by step.

What you'll learn

  • Use inverse operations
  • Keep an equation balanced
  • Solve a multi-step equation
Balancing the seesaw

Think of an equation as a balanced seesaw: whatever you do to one side you must do to the other, or it tips. To find x in x + 3 = 7, you lift 3 off both sides and the seesaw still balances, leaving x = 4.

Keep both sides equal

An equation is a balance. Whatever you do to one side you must do to the other. To solve for x, undo operations in reverse order using their inverses.

2x + 3 = 11
2x = 8      (subtract 3 from both sides)
x = 4       (divide both sides by 2)

Knowledge Check

+15 XP / correct

1. Solve: 3x = 21.

2. Solve: x + 5 = 12.