Equivalent Expressions and Properties of Addition

Equivalent Expressions and Properties of Addition

By Kevvin Hankins

Standard

​mgse6.EE3

Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

We are discussing equivalent expressions​​

Learning targets

• I can explain why two or more expressions are equivalent using properties of operations.

• I can generate equivalent expressions using properties of operations.

6th grade| Math

We are discussing equivalent expressions​

​Essential questions

How does knowing factors of numbers help you find equivalent expressions?

6th Grade | Math

We are discussing equivalent expressions​

Vocabulary

numerical expressions

algebraic expressions

evaluate

variable

distributive properties

6th Grade | Math

We are discussing equivalent expressions​

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Equivalent Expressions

How can you identify equivalent algebraic expressions?

Multiple Choice

Use the Distributive Property to write an equivalent expression:

$$2\left(4x+3\right)$$  

• 8x + 3

• 6x + 3

• 8x + 6

• 6x + 6

1. Multiply the outside with the 1st number.

2. Multiply the outside with the 2nd number.

3. Put the two together and add the operation from the parenthesis.

• They have the same value. 

• You can check if they are equal by substituting X with a number.

Multiple Choice

Which expression is equivalent to:

$$2x+6$$  

• $$2\left(x+3\right)$$

• $$x+1+x+2$$  

Multiple Choice

Which expression is equivalent to:

$$2\left(x+2\right)$$  

• 2x + 2

• 2x + 4

Let's Compare Another Way!

• Simplify each expression by combining like terms.

• Compare the simplified expressions.

Multiple Select

Choose all expressions that are equal to:

$$5\left(2x+3\right)$$  

• $$10x+15$$  

• $$5x+15+5x$$  

• $$10x+8$$  

Multiple Select

Choose all expressions that are equal to:

$$4x-8$$  

• $$2\left(2x-6\right)$$  

• $$2\left(2x-4\right)$$  

• $$x-8+3x$$  

Multiple Select

Choose all expressions that are equal to:

$$12x-16$$  

• $$9x-16+3x$$  

• $$3\left(3x-5\right)$$  

• $$4\left(3x-4\right)$$  

Poll

How are you feeling about finding Equivalent Expressions?

• Great!

• So-So

• Confused