Distributive Property with Linear Expressions

"D" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

• 1

• 2

• 5

• 6

To multiply a sum by a number, multiply each addend by the number outside the parentheses.

• constant

• inverse operation

• distributive property

• term

Use the Distributive Property to write each expression as an equivalent expression. Then simplify it.
\frac{1}{4}(x+12)

• 1/4(x) + 1/4(12);  1/4x+3

• 1/4(12x);  3x

• 1/4(x) - 1/4(12);  1/4x-3

Use the Distributive Property to write each expression as an equivalent expression. Then simplify it.

–9(7 + 4)

• -9(7)+9(4); -27

• -9(7)-9(4); -99

• 9(7)-7(4); 35

Use the Distributive Property to write each expression as an equivalent expression. Then simplify it.

(7+z)(-10)

• 7(-10)+z(-10); -10z-70

• 7(-10)-z(-10); 10z+70

• 7(-10)+10(z); -17-10z

Simplify each expression. Don’t forget to be careful with your signs!!!

19g–7(5 – g)

• 19g-35

• 26g-35

• 60g-19

Factor 3x + 15.

• Cannot be factored

• 3(x+5)

• 3x(1+5)

Simplify the expression:
6 + 2(7x - 3) 

• 14x + 12

• 14x

• 14x - 12

• 56x - 24

Simplify : -6(4k + 9) + 6k

• -32 + 8k

• -18k - 54

• -32 + 9k

• -38 + 9k

3(2x+1)+2(x-4)

• 8x-3

• 8x+11

• 4x-5

• 8x-5