Equivalent Expressions

Equivalent Expressions

MAFS.6.EE.1.3

MAFS.6.EE.1.4

Objective

• Understand that the properties used with numbers also apply to expressions with variables

• Recognize and generate equivalent expressions

• Substitute values into expressions to prove equivalency.

Vocabulary

• Communitive Property of addition: Reordering the terms does not change the value of the expression

• Associative Property of addition: Regrouping the terms does not change the value of the expression

• Distributive Property: Distributing the common factor does not change the value of the expression

• Like term: two or more terms in a variable expression that have the same variable factors.

Multiple Choice

Which two terms can you add together to get a multiple of ten in this expression (3+14)+27

• 3+14

• 14+27

• 27+3

Fill in the Blanks

Rewrite the expression with parentheses to show that the two terms with the sum that is a multiple of 10 should be added first. (Do not use spaces)

Multiple Choice

Did rewriting the expression change the answer?

• Yes

• No

Fill in the Blanks

What is the common factor of the numbers in parentheses 14+(3+27)?

Multiple Choice

Which expression is equivalent to 3+27?

• 3(1+27)

• 3(1+9)

• 27(1+3)

Multiple Choice

What do we use to represent unknown numbers?

• a variable

• a constant

• a coefficient

• make one up

Open Ended

How can we represent the amount of apples Jamie bought and the apples Ashley bought?

Parts of our expression

What can we use to represent Jamie's apples? 4a

What can we use to represent Ashley's apples? 3a

Multiple Choice

Write an expression for the total number of apples.

• 4a+3a or 7a

• 4a+3a or 1a

• 4a*3a or 12a

• 
  

  $4a\div3a\$ or $\frac{4}{3}a$

Multiple Select

A school cafeteria has 30 boxes of Wheaty Squares and 20 boxes of Mighty O's cereal. Each box has the same number of ounces of cereal. Write an expression to represent the total ounces of cereal. Choose all that are equivalent

• 30c + 20c

• 30c x 20c

• 10c(2+3)

• (10 * 2c) + (10 * 3c)

Open Ended

Write an expression equivalent to 3(2 + x).

Open Ended

Are $3x+6+x\$   and  $2\left(2x+3\right)$  equivalent? Use substitution to check your answer.  

Multiple Choice

**Exit Question: Which expression is equivalent to $2+3n+2+9n$   

•  $16n$  

•  $3n+8$  

•  $4\left(3n+1\right)$  

•  $4\left(3n+4\right)$