6.PAR.6.5 Generate Equivalent Expression

​Generate Equivalent Expressions​

6.PAR.6.5 Apply the properties of operations to identify and generate equivalent expressions.

​Definitions:

Variable: A variable is a placeholder for a number we do not know yet. A variable can be anything, but it is usually represented by a letter.

Coefficient: The coefficient is the number in front of the variable.

Ex: 3x​ the coefficient is 3

Like Terms: Like terms are terms that share the same variable.

We combine like terms by adding the coefficient.

Ex: 3x and 5x are like terms and if we combine them we get

(3 + 5)x = 8x​

Subject | Subject

Distributive Property

Multiple Choice

$$\left(3a\ -\ b\right)5$$  

• 15ab - 5ab

• 15a + -5b

• 8a - 6b

Multiple Choice

$$-\left(4x\ -\ 5\right)$$  

• 4x - 5

• -4 + 5

• -4x + 5

Factoring to Expand Expressions

(aka undoing the distributive property)

Factoring:

to undo the distributive property by dividing by the GCF of the terms.

Multiple Choice

14x + 21

• 7(2x + 3)

• 7(2 + 3)

• 7x(2x + 3)

Multiple Choice

12x - 42y - 3

• 3xy(4 - 14)

• 3(4x - 14y - 1)

• 3(4 - 14 - 1)

Combining Expressions

Term: a part that is being added or subtracted

Like Terms: terms with the same variable raised to the same power

Multiple Choice

-5a + 8a

• 40a

• 13a

• 3a

• 3aa

Multiple Choice

2x - 3y + 7x +5x

• 14x - 3y

• 14xy - 3xy

• 14x + 3y