Expressions, LCM, GCF, Distributive Property

What is the least common multiple (LCM) of 5 and 20?

• 4

• 5

• 20

• 100

What is the least common multiple (LCM) of 6 and 8?

• 6

• 8

• 48

• 24

Using the Distributive Property, find an equivalent expression for:

8(3 + 4) =

• 24 + 32

• 11 + 12

• 123 + 124

• 5 + 4

Use the distributive property to fill in the blank below with a number that makes the equation true.

Answer explanation

We see the expanded form is 9(7) + 9(3). 3 is already inside of the parentheses in factored form, so 7 belongs in the blank!

The ​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

Simplify   2(3x + 5)

7(x + 4)

Match the correct properties to its examples:

• 4 + 5 = 5 + 4

• Commutative Property

• Distributive Property

• 4 + (5 + 6) = (4 + 5) + 6

• Associative Property

The

​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.