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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Unit 4
Unit 4~50 min3 lessons · 11 videosGADOE framework↗

Equations & Inequalities

Solve one-variable equations, work with inequalities, and recognize how independent and dependent variables relate.

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Study guide

Unit 4: Equations & Inequalities

Your progress

0 of 6 done0%

On this page

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

Written lessons

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

x + 7 = 15 → subtract 7 from both sides → x = 8. Same rule for × and ÷.

Always check: plug your answer back in. 8 + 7 = 15 ✓

Try it

Solve n − 9 = 14.

Goals

Learning objectives

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

  • ✓Solve one-step equations using inverse operations
  • ✓Write inequalities from word problems
  • ✓Graph solutions on a number line
  • ✓Distinguish independent and dependent variables
  • ✓Translate word problems into equations
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

One-Step Equations

Use inverse operations to find the missing number.

Watch on YouTube
Math Antics

Solving Basic Algebraic Equations (Part 1)

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

Watch on YouTube
Math Antics

Solving Basic Algebraic Equations (Part 2)

Harder one-step equations with fractions and negatives.

Watch on YouTube
Khan Academy

Intro to Inequalities

Symbols like < and ≥ and what they mean on a number line.

Watch on YouTube
Math Antics

Solving Inequalities

Solve inequality problems the same way you solve equations.

Watch on YouTube
Khan Academy

Graphing Linear Inequalities

Shade the number line to show all solutions.

Watch on YouTube
Mathispower4u

Graphing Linear Inequalities (walk-through)

Extra examples graphing inequality solutions.

Watch on YouTube
Khan Academy

Dependent & Independent Variables

Which quantity you choose and which one depends on it.

Watch on YouTube
Mathispower4u

Independent & Dependent Variables

Identify input and output in tables and graphs.

Watch on YouTube
Khan Academy

Translating Word Problems

Turn a story problem into an equation you can solve.

Watch on YouTube
Organic Chemistry Tutor

Translating Word Problems (long form)

A longer walk-through of tricky word-problem setups.

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

Practice worksheets

Adam's curated problem sets — preview here or open in Google Drive.

Worksheet — Equations & inequalities

Mixed practice for the unit.

Open in DriveDownload
More practice

External resources

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

Khan Academy

Equations & inequalities practice

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

Unit 4 quiz

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

Unit 4: Equations & Inequalities

Question 1 of 3

Easy

Solve for x: x + 7 = 12

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Unit 3Expressions & Equations→Next up · Unit 5Geometry — Area & Volume