# Solve Equations & Inequalities

**5.1 Solving linear equations with one variable**

**Explanation:**Khan video: Intro to two-step equations

Khan video: Worked example: two-step equations

Khan article: Two-step equations review

Khan video: Two-step equation word problem: computers

Khan video: Two-step equation word problem: oranges

**Practice Problems:**Khan exercise: Two-step equations

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

**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

Khan videos: Intro to equations with variables on both sides

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

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

Khan videos: Equations with parentheses

Khan video: Ex 2: Distributive property to simplify (honors - clearing fractions)

Khan video: Number of solutions to equations

Khan video: Worked example: number of solutions to equations

Khan video: Sums of consecutive integers (honors)

**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: Sums of consecutive integers (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

Khan video: Manipulating formulas: area

Khan video: Manipulating formulas: temperature

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

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

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

**5.4 Solving linear inequalities**

**Explanation:**Khan video: Plotting inequalities

Khan video: Plotting an inequality example

Khan video: Inequalities word problems

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

Khan video: One-step inequalities: -5c â‰¤ 15

Khan video: Inequalities using addition and subtraction

Khan video: Constructing and solving a one-step inequality (multiplication and division)

Khan video: Inequalities with variables on both sides

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

Khan video: Multi-step inequalities

Khan video: Using inequalities to solve problems

**Practice Problems:**Khan exercise: Plotting inequalities

Khan exercise: Inequalities word problems

Khan exercise: One-step inequalities

Khan exercise: Two-step inequalities

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

Khan exercise: Multi-step linear inequalities (honors)

Khan exercise: Using inequalities to solve problems

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

**Explanation**Khan video: Compound inequalities: OR

Khan video: Compound inequalities: AND

Khan video: A compound inequality with no solution

Khan video: Double inequalities (compact form)

Khan video: Compound inequalities examples

Khan article: Compound inequalities review

**Practice Problems:**Khan Exercise: Compound Inequalities (honors: extra credit)

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

Desmos Activity: Point Collector (teacher use only)

**5.6 Solving linear absolute value equations (Honors)**

**Explanation:**Khan video: Intro to absolute value equations and graphs (stop at 5:56)

Khan video: Worked example: absolute value equations with one solution

**Explanation**

**5.7 Honors. Solving linear absolute value inequalities**

**Explanation:**Khan video: Intro to absolute value inequalities

Khan video: Solving absolute value inequalities 2 (less than)

Khan video: Absolute value inequalities word problem

**Practice Problems:**

**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)