Grade 6 Math · Expressions & Equations

Solve one-step multiplication/division equations

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

Key idea

Divide both sides by the same nonzero number.

Worked example

Solve for x and verify by substitution.

7x = 56

  1. x = 56 / 7
  2. x = 8

Answer: 8

Quick Check

Analyze the proposed student response. Choose Correct or Incorrect.

x / (1/2) = 1/2 Student response: 1/4

Choose one answer

Show a hint

What operation reverses division by p?