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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 6/
  4. Unit 4/
  5. One-Step Equations
Grade 6 · Unit 4Topic 1 of 3~13 min

One-Step Equations

Undo whatever is happening to the variable to find its value.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Using inverse operations

An equation says two things are equal. To solve for the variable, undo the operation attached to it by doing the opposite to BOTH sides. Addition is undone by subtraction, multiplication by division.

Worked example

Solve x + 7 = 15

  1. →The +7 is attached to x, so subtract 7 from both sides.
  2. →x + 7 − 7 = 15 − 7.
  3. →x = 8.

Always check your answer

Substitute your answer back into the original equation. If both sides match, you got it right.

Tip

Whatever you do to one side of the equation, you must do to the other — that keeps it balanced.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Khan Academy

One-Step Equations

Use inverse operations to find the missing number.

Watch on YouTube
Math Antics

Solving Basic Algebraic Equations

Add, subtract, multiply, or divide both sides to isolate x.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Worksheet

Worksheet — Equations & inequalities

Mixed practice solving equations and inequalities.

Open in DriveDownload
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

One-Step Equations

Question 1 of 3

Easy

Solve for x: x + 7 = 12

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Back toUnit 4 overview→Next up · Topic 2 of 3Inequalities & Number Lines