Grade 6 Math · Expressions & Equations

Solve one-step addition/subtraction equations

Given an equation of the form x + p = q or x - p = q with a unique nonnegative rational solution, solve for x using an inverse operation and verify the result by substitution.

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What you’ll learn

Given an equation of the form x + p = q or x - p = q with a unique nonnegative rational solution, solve for x using an inverse operation and verify the result by substitution.

Key idea

An equation stays equivalent when the same number is subtracted from both sides.

Worked example

Solve for x and check your answer.

x + 7 = 15

  1. x = 15 - 7
  2. x = 8

Answer: 8

Quick Check

Analyze the proposed student response. Choose Correct or Incorrect.

x + 2 = 12 Student response: 10

Choose one answer

Show a hint

Which operation undoes adding the same amount to x?