# Solve Equations & Inequalities

**5.1 Solving linear equations with one variable**

**Explanation:**Khan video: Same thing to both sides of equations (2:31)

Khan video: Intro to two-step equations (5:11)

Khan video: Worked example: two-step equations (3:03)

Khan article: Two-step equations review

Khan video: Two-step equation word problem: computers (4:44)

Khan video: Two-step equation word problem: oranges (5:58)

**Practice Problems:**Khan exercise: Two-step equations (7th grade)

Khan exercise: Interpret two-step equation word problems (honors) (7th grade)

Khan exercise: Two-step equations word problems (includes distributive property) (7th grade)

**5.2 Solving linear equations with more than one variable**

**Explanation**Balance Modeling:

Math Playground: Model Algebra

Khan video: Why we do the same thing to both sides: Variable on both sides (7:36)

Khan video: Intro to equations with variables on both sides (8:52)

Khan video: How to solve an equation with variables on both sides (20 - 7x = 6x - 6) (4:06)

Khan video: Equation with variables on both sides: fractions (honors) (4:49)

Khan video: Equations with parentheses (6:03)

Khan video: Number of solutions to equations (5:26)

Khan video: Worked example: number of solutions to equations (1:54)

Khan video: Reasoning with linear equations (7:39)

Khan video: Sums of consecutive integers (8th grade; honors) (5:18)

Khan video: Sum of integers challenge (8th grade; honors) (4:32)

**Practice Problems:**Khan exercise: Equations with variables on both sides

Khan exercise: Equations with variables on both sides: decimals & fractions (honors)

Khan exercise: Equations with parentheses

Khan exercise: Equations with parentheses: decimals & fractions (honors)

Khan exercise: Reasoning with linear equations

Khan exercise: Sums of consecutive integers (8th grade; honors)

Khan exercise: Number of solutions to equations

Khan exercise: Number of solutions to equations challenge (honors)

**5.3 Literal Equations**

**Explanation:**Khan video: Manipulating formulas: perimeter (Algebra 2) (6:58)

Khan video: Manipulating formulas: area (Algebra 2) (2:29)

Khan video: Manipulating formulas: temperature (Algebra 2) (2:41)

Khan video: Linear equations with unknown coefficients (honors only) (5:34)

**Practice Problems:**Khan exercise: Manipulate formulas (honors) (Algebra 2)

Khan exercise: Linear equations with unknown coefficients (honors only)

**5.4 Solving linear inequalities**

**Explanation:**Khan video: Plotting inequalities (7th) (6:13)

Khan video: One-step inequalities examples (explanation of how to solve inequalities by multiplication and division with a brief rationale why) (10:27)

Khan video: One-step inequalities: -5c â‰¤ 15 (2:53)

Khan video: One-step inequality word problem

Khan video: Two-step inequalities (4:31)

Khan video: Inequalities with variables on both sides (5:38)

Khan video: Inequalities with variables on both sides (with parentheses) (3:47)

Khan video: Multi-step inequalities (8:01)

Khan video: Using inequalities to solve problems (3:40)

**Practice Problems:**Khan exercise: Inequality for graph (7th grade)

Khan exercise: Plotting inequalities (7th grade)

Khan exercise: One-step inequalities (7th grade)

Khan exercise: Two-step inequalities (7th grade)

Khan exercise: Two-step inequalities word problems (honors: extra credit) (7th grade)

Khan exercise: Multi-step linear inequalities

Khan exercise: Using inequalities to solve problems

**5.5 Solving compound linear inequalities (and/or)**

**Explanation**Khan video: Compound inequalities: OR (4:30)

Khan video: Compound inequalities: AND (5:12)

Khan video: A compound inequality with no solution (2:40)

Khan video: Double inequalities (compact form) (4:27)

Khan video: Compound inequalities examples (11:45)

Khan article: Compound inequalities review

**Practice Problems:**IXL: Algebra 1: K.12 Graph compound inequalities

IXL: Algebra 1: K.13 Write compound inequalities from graphs

IXL: Algebra 1: K.14 Solve compound inequalities

IXL: Algebra 1: K.15 Graph solutions to compound inequalities

Khan Exercise: Compound Inequalities (honors)

Desmos Activity: Compound Inequalities on the Number Line (Teacher use only)

Desmos Activity: Point Collector (teacher use only)

**Review**

Khan Article: Multi-step equations review

Jeopardy-style review game: solving absolute value equations and inequalities

Equation Solver by Shodor (Java) - Interactive website for solving multi-step linear equations with stating the property

Algebra Quiz by Shodor - Timed practice problems (Java)