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

Writing Algebraic Expressions

Turn word phrases into math, then plug in numbers to evaluate.

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.

From words to symbols

A variable is a letter that stands for an unknown number. "Five more than a number" becomes n + 5. "Three times a number, minus 7" becomes 3n − 7.

Evaluating an expression

To evaluate, substitute the given value for the variable and simplify using the order of operations.

Worked example

Evaluate 2x + 5 when x = 4.

  1. →Substitute: 2(4) + 5.
  2. →Multiply first: 8 + 5.
  3. →Add: 13.

Tip

Watch the order of the words: "7 less than a number" is n − 7, not 7 − n.

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

Writing Expressions with Variables

Turn word phrases like "five more than x" into algebra.

Watch on YouTube
Math Antics

What Are Variables?

Why letters stand for unknown numbers in math.

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

Practice

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

Khan Academy

Expressions & variables practice

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

Quick check

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

Writing Algebraic Expressions

Question 1 of 3

Easy

Write an expression for "twice a number plus 9."

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 1 of 3Exponents & Order of Operations→Next up · Topic 3 of 3Distributive Property & Like Terms