Systems of Equations and Inequalities

• Explanation:

  • Notes | Annotated

  • Khan video: Solving linear systems by graphing (both equations in slope-intercept form; 8th grade)

  • Khan video: Systems of equations with graphing: y=7/5x-5 & y=3/5x-1

  • Khan video: Graphing systems of equations (both equations are in standard form; 8th grade)

  • Khan video: Systems of equations with graphing: exact & approximate solutions

  • Khan video: Interpreting points in context of graphs of systems 

• Practice Problems:

  • Review Graphing WS 

  • Khan exercise: Systems of equations with graphing

  • Khan exercise: Number of solutions to a system of equations graphically 

  • Khan exercise: Interpret points relative to a system (honors)

  • IXL: Algebra 1: U.2 Solve a system of equations by graphing

  • IXL: Algebra 1: U.3 Solve a system of equations by graphing: word problems

  • IXL: Algebra 1: U.4 Find the number of solutions to a system of equations by graphing

  • Worksheet #1

• Explanation

  • Notes | Annotated

  • Khan video: Systems of equations with substitution: -3x-4y=-2 & y=2x-5

  • Khan article: Substitution method review (systems of equations)

  • Khan video: Systems of equations with substitution: y=4x-17.5 & y+2x=6.5 (one equation in slope-intercept form and one in standard; 8th grade)

  • Khan video: Systems of equations with substitution: 9x+3y=15 & y-x=5 (both in standard form; 8th grade)

  • Khan video: Systems of equations with substitution: 2y=x+7 & x=y-4 (both are in non-standard form; 8th grade)

• Practice Problems:

  • Khan exercise: Systems of equations with substitution

  • IXL: Algebra 1: U.8 Solve a system of equations using substitution

  • IXL: Algebra 1: U.9 Solve a system of equations using substitution: word problems

  • Worksheet #1

  • Worksheet: STEMersion

• Explanation

  • Notes | Annotated

  • Khan article: Elimination method review (systems of linear equations)

  • Khan video: Systems of equations with elimination: x - 4y = -18 & -x + 3y = 11

  • Khan video: Systems of equations with elimination (and manipulation)

  • Khan video: Why can we subtract one equation from the other in a system of equations?

  • Khan video: Elimination strategies

• Practice Problems:

  • Khan exercise: Combining equations

  • Khan exercise: Elimination strategies 

  • Khan exercise: Systems of equations with elimination - two coefficients are opposite

  • Khan exercise: Systems of equations with elimination challenge (honors only)

  • IXL: Algebra 1: U.10 Solve a system of equations using elimination

  • Worksheet #1 | Answers

• Purchase ExamView Test Bank 

• Explanation

  • Notes | Annotated

  • Khan video: Systems of equations with elimination: Sum/difference of numbers  (8th grade)

  • Khan video: Systems of equations with elimination: TV & DVD 

  • Khan video: Systems of equations with elimination: apples and oranges

  • Khan video: Systems of equations with substitution: coins

  • Khan video: Systems of equations with elimination: coffee and croissants

  • Khan video: Setting up a system of equations from context example (pet weights)

  • Khan video: Setting up a system of linear equations example (weight and price)

  • Website article: Wind and Current Problems

• Practice Problems

  • Khan exercise: Creating systems in context

  • Khan exercise: Systems of equations word problems

  • Khan exercise: Age word problems

  • IXL: Algebra 1: U.11 Solve a system of equations using elimination: word problems

  • worksheet #1 

  • Worksheet Cash Box

• Purchase ExamView Test Bank

• Explanation

  • Notes | Annotated Notes

  • Khan video: Introduction to systems with three variables

  • Khan video: How to solve a system with three variables (example)

  • Khan video: Example of a system with three variables with no solution

• Practice:

  • worksheet #1 | Answers

• Explanation:

  • Khan video: Number of solutions to a system of equations

  • Khan video: Number of solutions to a system of equations graphically

  • Khan video: Number of solutions to a system of equations algebraically

  • Khan article: Number of solutions to system of equations review

• Practice Problems

  • Khan exercise: Number of solutions to a system of equations graphically (also in 6.1)

  • Khan exercise: Number of solutions to a system of equations algebraically

  • Khan exercise: Systems of equations word problems (with zero and infinite solutions)

  • IXL: Algebra 1: U.5 Find the number of solutions to a system of equations

  • Worksheets #1

• Explanation

  • Khan video: Why can we subtract one equation from the other in a system of equations?

  • Khan video: Worked example: equivalent systems of equations

  • Khan video: Worked example: non-equivalent systems of equations

  • Khan video: Reasoning with systems of equations

  • Khan article: Equivalent systems of equations review

• Practice:

  • Khan Practice: Reasoning with systems of equations

• Explanation:

  • Notes | Annotated

• Practice Problems:

  • Worksheet #1 

  • Jeopardy style-online game with system of equations -  Reviews each method for solving system of equations

  • IXL: U.14 Solve a system of equations using any method

  • IXL: U.15 Solve a system of equations using any method: word problems

• Explanation:

  • Notes | Annotated

  • Khan Article: Graphing inequalities (x-y plane) review

  • Khan Video: Testing solutions to inequalities (verify solutions)

  • Khan Video: Intro to graphing two-variable inequalities (in slope-intercept form)

  • Khan Video: Graphing two-variable inequalities (in slope-intercept form)

  • Khan Video: Graphing inequalities 2 (in standard form) (old content)

  • Khan Video: Two-variable inequalities from their graphs (given a graph, find the inequality)

  • Khan video: Writing two-variable inequalities word problem

  • Khan video: Solving two-variable inequalities word problem

  • Khan video: Graphs of two-variable inequalities word problem

  • Khan video: Interpreting two-variable inequalities word problem

  • Khan video: Analyzing structure with linear inequalities: fruits

  • Khan video: Analyzing structure with linear inequalities: balls

• Practice Problems

  • Khan Exercise: Solutions of inequalities: algebraic

  • Khan Exercise: Solutions of inequalities: graphical

  • Khan Exercise: Graphs of inequalities 

  • Khan Exercise: Two-variable inequalities from their graphs

  • Khan Exercise: Two-variable inequalities word problems

  • Khan Exercise: Analyzing structure with linear inequalities

  • IXL: Algebra 1: T.1 Does (x, y) satisfy the inequality?

  • IXL: Algebra 1: T.2 Linear inequalities: solve for y

  • IXL: Algebra 1: T.3 Graph a two-variable linear inequality

  • IXL: Algebra 1: T.4 Linear inequalities: word problems

  • Desmos Activity: Point Collector: Lines

  • Worksheet #1

• Explanation:

  • Khan Video: Intro to graphing systems of inequalities

  • Khan video: Testing solutions to systems of inequalities

  • Khan Video: Graphing systems of inequalities (three inequalities)

  • Khan video: Modeling with systems of inequalities (word problem)

  • Khan video: Writing systems of inequalities word problem

  • Khan video: Solving systems of inequalities word problem

  • Khan video: Graphs of systems of inequalities word problem

• Practice Problems:

  • Khan exercise: Solutions of systems of inequalities (testing points)

  • Khan exercise: Systems of inequalities graphs

  • Khan exercise: Systems of inequalities word problems

  • IXL:  Algebra 1: T.5 Is (x, y) a solution to the system of inequalities?

  • IXL: Algebra 1: T.6 Solve systems of linear inequalities by graphing

  • Worksheet #1

• Explanation

• Practice Problems

• Notes | Annotated

• Practice Problems

  • Honors Worksheet #1

  • Honors Worksheet #2

  • Worksheet #1

  • Worksheet #2

Cumulative Review WS