Solve Equations & Inequalities

Explanation:

• Notes | Annotated

• 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)

• Worksheet #1

Explanation

• Notes | Annotated

• Balance Modeling:

  • Math Playground: Model Algebra

  • Balance when Adding and Subtracting

• 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)

• Worksheet #1

Explanation:

• Notes | Annotated

• 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: Finding inverse functions: linear (honors only)

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

• Extra credit:

  • Intro to dimensional analysis 

  • Same rate with different units 

  • Defining appropriate quantities for modeling 

  • Formulas and units: Volume of a pool 

  • Formulas and units: Comparing rates 

  • Using units to solve problems: Toy factory 

  • Using units to solve problems: Road trip

  • Using units to solve problems: Drug dosage 

Practice Problems:

• Khan exercise: Manipulate formulas (honors) (Algebra 2)

• Khan exercise: Finding inverses of linear functions  (honors only)

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

• Extra credit:

  • Rate conversion

  • Defining appropriate quantities for modeling

  • Using units to solve problems 

• Worksheet #1

Explanation:

• • Notes | Annotated

  • 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 ≤ 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

  • Worksheet #1

Explanation

• • Notes | Annotated

  • 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: F.12 Graph compound inequalities

    • IXL: Algebra 1: F.13 Write compound inequalities from graphs

    • IXL: Algebra 1: F.14 Solve compound inequalities

    • IXL: Algebra 1: F.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)

  • Worksheet #1

• Khan Article: Multi-step equations review

Review WS#1

Review WS#2

Honors Review WS #1 

Honors Review WS #2 

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)