# Unit 4: Module 4: Expressions and equations

## About this unit

"With their sense of number expanded to include negative numbers, in Module 4 students begin formal study of algebraic expressions and equations. Students learn equivalent expressions by continuously relating algebraic expressions back to arithmetic and the properties of arithmetic (commutative, associative, and distributive). They write, interpret, and use expressions and equations as they reason about and solve one-variable equations and inequalities and analyze quantitative relationships between two variables." Eureka Math/EngageNY (c) 2015 GreatMinds.org

### Learn

### Practice

- Meaning of exponentsGet 3 of 4 questions to level up!
- Powers of whole numbersGet 3 of 4 questions to level up!
- Powers of fractions & decimalsGet 3 of 4 questions to level up!
- Order of operations (no exponents)Get 3 of 4 questions to level up!
- Order of operationsGet 3 of 4 questions to level up!
- Order of operations with fractions and exponentsGet 3 of 4 questions to level up!

### Learn

### Practice

- Expression value intuitionGet 3 of 4 questions to level up!
- Parts of algebraic expressionsGet 3 of 4 questions to level up!
- Combining like termsGet 3 of 4 questions to level up!
- Combining like terms with distributionGet 3 of 4 questions to level up!
- Factor with the distributive property (no variables)Get 5 of 7 questions to level up!
- Distributive property with variablesGet 3 of 4 questions to level up!
- Create equivalent expressions by factoringGet 3 of 4 questions to level up!
- Factor with distributive property (variables)Get 3 of 4 questions to level up!
- Equivalent expressionsGet 5 of 7 questions to level up!

### Learn

### Practice

- Writing basic expressions with variablesGet 5 of 7 questions to level up!
- Writing expressions with variablesGet 3 of 4 questions to level up!
- Writing basic expressions word problemsGet 5 of 7 questions to level up!
- Writing expressions word problemsGet 5 of 7 questions to level up!

### Learn

### Practice

- Evaluating expressions with one variableGet 5 of 7 questions to level up!
- Evaluating expressions with variables word problemsGet 3 of 4 questions to level up!
- Evaluating expressions with multiple variablesGet 3 of 4 questions to level up!
- Evaluating expressions with multiple variables: fractions & decimalsGet 3 of 4 questions to level up!
- Variable expressions with exponentsGet 3 of 4 questions to level up!

### Learn

### Practice

- Testing solutions to equationsGet 5 of 7 questions to level up!
- Identify equations from visual models (tape diagrams)Get 3 of 4 questions to level up!
- Identify equations from visual models (hanger diagrams)Get 3 of 4 questions to level up!
- Solve equations from visual modelsGet 3 of 4 questions to level up!
- One-step addition & subtraction equationsGet 5 of 7 questions to level up!
- One-step addition & subtraction equations: fractions & decimalsGet 5 of 7 questions to level up!
- One-step multiplication & division equationsGet 5 of 7 questions to level up!
- One-step multiplication & division equations: fractions & decimalsGet 5 of 7 questions to level up!
- Find the mistake in one-step equationsGet 3 of 4 questions to level up!

### Learn

### Practice

- Translate one-step equations and solveGet 3 of 4 questions to level up!
- Model with one-step equationsGet 3 of 4 questions to level up!
- Model with one-step equations and solveGet 3 of 4 questions to level up!
- Testing solutions to inequalities (basic)Get 3 of 4 questions to level up!
- Testing solutions to inequalitiesGet 3 of 4 questions to level up!
- Graphing basic inequalitiesGet 3 of 4 questions to level up!
- Inequality from graphGet 3 of 4 questions to level up!
- Plotting inequalitiesGet 3 of 4 questions to level up!
- Inequalities word problemsGet 3 of 4 questions to level up!
- Independent versus dependent variablesGet 3 of 4 questions to level up!
- Tables from equations with 2 variablesGet 3 of 4 questions to level up!
- Match equations to coordinates on a graphGet 3 of 4 questions to level up!
- Relationships between quantities in equationsGet 3 of 4 questions to level up!
- Analyze relationships between variablesGet 3 of 4 questions to level up!