Module 4: Linear equations

Topic A: Writing and solving linear equations

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Intro to equations with variables on both sides

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Equations with variables on both sides: 20-7x=6x-6

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Equation with variables on both sides: fractions

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Equation with the variable in the denominator

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Equations with parentheses

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Number of solutions to equations

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Worked example: number of solutions to equations

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Creating an equation with no solutions

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Creating an equation with infinitely many solutions

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Practice

Equations with variables on both sidesGet 3 of 4 questions to level up!

Equations with variables on both sides: decimals & fractionsGet 3 of 4 questions to level up!

Equations with parenthesesGet 3 of 4 questions to level up!

Equations with parentheses: decimals & fractionsGet 3 of 4 questions to level up!

Number of solutions to equationsGet 3 of 4 questions to level up!

Number of solutions to equations challengeGet 3 of 4 questions to level up!

Topic B: Linear equations in two variables and their graphs

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Rates & proportional relationships example

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Rates & proportional relationships: gas mileage

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Graphing proportional relationships: unit rate

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Graphing proportional relationships from a table

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Graphing proportional relationships from an equation

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Points on the coordinate plane examples

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Testing solutions to linear equations

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Graphing a linear equation: 5x+2y=20

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Practice

Rates & proportional relationshipsGet 5 of 7 questions to level up!

Graphing proportional relationshipsGet 3 of 4 questions to level up!

Solutions to 2-variable equationsGet 3 of 4 questions to level up!

Complete solutions to 2-variable equationsGet 3 of 4 questions to level up!

Topic C: Slope and equations of lines

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x-intercept of a line

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Intercepts from a table

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Intercepts from an equation

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Worked example: intercepts from an equation

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Slope & direction of a line

Worked example: slope from graph

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Slope of a line: negative slope

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Worked example: slope from two points

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Slope of a horizontal line

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Converting to slope-intercept form

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Proving slope is constant using similarity

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Intro to point-slope form

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Intro to slope-intercept form

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Graph from slope-intercept equation

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Slope-intercept equation from graph

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Slope-intercept equation from slope & point

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Slope-intercept equation from two points

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Slope-intercept form from a table

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Slope-intercept form problems

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Practice

Intercepts from a graphGet 3 of 4 questions to level up!

Intercepts from an equationGet 3 of 4 questions to level up!

Slope from graphGet 3 of 4 questions to level up!

Slope from two pointsGet 3 of 4 questions to level up!

Slope-intercept introGet 3 of 4 questions to level up!

Slope from equationGet 3 of 4 questions to level up!

Graph from slope-intercept formGet 3 of 4 questions to level up!

Slope-intercept equation from graphGet 3 of 4 questions to level up!

Slope-intercept from two pointsGet 3 of 4 questions to level up!