# Unit 4: Module 4: Linear equations

## About this unit

"In Module 4, students use similar triangles learned in Module 3 to explain why the slope of a line is well-defined. Students learn the connection between proportional relationships, lines, and linear equations as they develop ways to represent a line by different equations (y = mx + b, y – y1 = m, etc.). They analyze and solve linear equations and pairs of simultaneous linear equations. The equation of a line provides a natural transition into the idea of a function explored in the next two modules." Eureka Math/EngageNY (c) 2015 GreatMinds.org

### Learn

### 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!

### Learn

### 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!

### Learn

### 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!

### Learn

### Practice

- Solutions of systems of equationsGet 3 of 4 questions to level up!
- Systems of equations with graphingGet 3 of 4 questions to level up!
- Systems of equations with eliminationGet 3 of 4 questions to level up!
- Systems of equations with elimination challengeGet 3 of 4 questions to level up!
- Systems of equations with substitutionGet 3 of 4 questions to level up!
- Systems of equations word problemsGet 3 of 4 questions to level up!
- Age word problemsGet 3 of 4 questions to level up!
- Number of solutions to a system of equations graphicallyGet 3 of 4 questions to level up!
- Number of solutions to a system of equations algebraicallyGet 3 of 4 questions to level up!