### Examples

*Example:*The expression 5(3x+1) can be rewritten equivalently as 15x+5.

*Example:* If the expression 2x+3x represents the profit the cheerleading team can make when selling the same number of cupcakes, sold for $2 each, and brownies, sold for $3 each. The expression 5x can express the total profit.

### Clarifications

*Clarification 1:*Properties include associative, commutative and distributive.

*Clarification 2:* Refer to Properties of Operations, Equality and Inequality (Appendix D).

**Subject Area:**Mathematics (B.E.S.T.)

**Grade:**6

**Strand:**Algebraic Reasoning

**Date Adopted or Revised:**08/20

**Status:**State Board Approved

## Related Courses

## Related Access Points

## Related Resources

## Formative Assessments

## Lesson Plan

## Original Student Tutorial

## Tutorials

## Video/Audio/Animation

## MFAS Formative Assessments

Students are asked to write expressions equivalent to a given one by using the Associative and Commutative Properties.

Students are asked to generate and justify an expression equivalent to a given one using the properties of operations.

Students are asked to identify expressions equivalent to a given exponential expression and justify their responses.

Students are asked to determine if pairs of expressions are equivalent and to justify their responses.

Students are asked to write equivalent expressions using the Distributive Property.

Students are asked to identify expressions equivalent to a given expression and justify their responses.

Students are asked to identify expressions equivalent to a given expression and justify their responses.

## Computer Science Original Student Tutorials

Explore computer coding on the farm by using IF statements and repeat loops to evaluate mathematical expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

## Student Resources

## Original Student Tutorial

Explore computer coding on the farm by using IF statements and repeat loops to evaluate mathematical expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

**MacCoder’s Farm Part 1: Declare Variables****MacCoder’s Farm Part 2: Condition Statements****MacCoder's Farm Part 3: IF Statements**

Type: Original Student Tutorial

## Tutorials

In this video, you will practice using arithmetic properties with integers to determine if expressions are equivalent.

Type: Tutorial

Learn how to apply the distributive law of multiplication over addition and why it works. This is sometimes just called the distributive law or the distributive property.

Type: Tutorial

Learn how to apply the distributive property of multiplication over subtraction. This is sometimes just called the distributive property or distributive law.

Type: Tutorial

Learn how to apply the distributive property to algebraic expressions.

Type: Tutorial

Students will simplify an expression by combining like terms.

Type: Tutorial

This tutorial is an explanation on how to combine like terms in algebra.

Type: Tutorial

This is an introduction to combining like terms in this tutorial.

Type: Tutorial

Great question. In algebra, we do indeed avoid using the multiplication sign. We'll explain it for you here.

Type: Tutorial