Distributive Property and Product Law of Exponents

"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

Determine the product of (3c)(10c)

• 13c²

• 30c

• 30c²

• 13c

Determine the simplified form of the expression 5(3x + 2)

• 3x + 10

• 15x + 10

• 15x - 10

• 3x - 10

(4x)³

• 7x³

• 64x³

• 12x³

• 16x³

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify the expression.
2x(-2x - 3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

5xy(6x-y)

• 11x² - y²

• 30x² + y²

• 30x²y - 5xy²

• 11x²y + 5x²y²

Expand 3a(5a² + 8a + 2) using the distributive property.

• 15a³ + 24a² + 6a

• 10a³ + 24a + 6

• 8a³ + 11a² + 6a

• 15a² + 24a + 6

Simplify the expression. -3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

Identify the property
a(b + c) = ab + ac

• Associative of addtion

• Distributive

• Commutative of addition

• Inverse