Topic 4 Generate Equivalent Expressions (Part 1)

Topic 4 Generate Equivalent Expressions (Part 1)

Distributive Property

 $a\left(b+c\right)\ =\ a\ \cdot\ b\ +\ a\ \cdot\ c$  

Think of it this way...

The Distributive Property is "The Party Method."

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.

Remember:

Work backwards by factoring!!!

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)

Multiple Choice

3.5m - mn

• mn(3.5 - n)

• 3.5 - 1

• m(3.5 - n)

Combining Expressions

Term: a part that is being added or subtracted

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

Review this chart ->

Multiple Choice

-5a + 8a

• 40a

• 13a

• 3a

• 3aa

Multiple Choice

2x - 3y + 7x +5x

• 14x - 3y

• 14xy - 3xy

• 14x + 3y