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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Unit 3
Unit 3~55 min3 lessons · 12 videosGADOE framework↗

Expressions & Equations

Learn how mathematicians write ideas as expressions — including exponents, variables, and equivalent forms.

Start with lessons →Jump to videosTake the quiz

Study guide

Unit 3: Expressions & Equations

Your progress

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On this page

  • Written lessons
  • Objectives & vocabulary
  • Video walkthroughs
  • Extra practice
  • Unit quiz
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Written lessons

Quick read-throughs in plain language — then hit the videos below.

4³ means 4 × 4 × 4 = 64. PEMDAS tells you the order: Parentheses, Exponents, Multiply/Divide, Add/Subtract.

In 3 + 4 × 2, multiply first: 3 + 8 = 11. Parentheses come first: (3 + 4) × 2 = 14.

Try it

What is 2 + 3² × 2?

Goals

Learning objectives

By the end of this unit, you should be able to:

  • ✓Read and evaluate expressions with exponents
  • ✓Use the order of operations correctly
  • ✓Write algebraic expressions from word phrases
  • ✓Identify equivalent expressions
  • ✓Apply the distributive property and combine like terms
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthroughs

Each video covers one topic from this unit — read the short blurb below to find the right one.

Khan Academy

Intro to Exponents

What exponents mean and how to read powers like 2³.

Watch on YouTube
Math Antics

Exponents

A clear walk-through of repeated multiplication with exponents.

Watch on YouTube
Khan Academy

Evaluating Expressions with Exponents

Plug in values and simplify expressions that include powers.

Watch on YouTube
Math Antics

Order of Operations

PEMDAS step by step so you always know what to do first.

Watch on YouTube
Khan Academy

Writing Expressions with Variables

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

Watch on YouTube
Math Antics

Algebra Basics: What Are Variables?

Why letters stand for unknown numbers in math.

Watch on YouTube
Khan Academy

Parts of Algebraic Expressions

Learn terms, coefficients, and constants in an expression.

Watch on YouTube
Math Antics

Expressions, Equations & Inequalities

Tell the difference between these three types of math statements.

Watch on YouTube
Khan Academy

Equivalent Expressions

Different-looking expressions that have the same value.

Watch on YouTube
Math Antics

Combining Like Terms

Add or subtract terms that share the same variable part.

Watch on YouTube
Khan Academy

Distributive Property

Multiply a number across terms inside parentheses.

Watch on YouTube
Math Antics

The Distributive Property

A second take on distributing, with extra examples.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
More practice

External resources

Hand-picked links from Khan Academy and trusted worksheet libraries.

Khan Academy

Expressions & variables practice

Open resource
Math Worksheets 4 Kids

Order of operations

Open resource
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Step 4 · Check

Unit 3 quiz

A few quick questions to make sure the big ideas stuck. Retake as many times as you want.

Unit 3: Expressions & Equations

Question 1 of 3

Medium

Evaluate: 2 + 3 × (4² − 6)

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Unit 2Ratios & Proportional Relationships→Next up · Unit 4Equations & Inequalities