Distributive Property

What property is shown by the equation a + 0 = a?

• Commutative Property
• Associative Property
• Additive Identity
• Additive Inverse

Answer explanation

Additive Identity means adding zero to any number does not change its value.

• Commutative Property
• Associative Property
• Multiplicative Identity

• Multiplicative Inverse

Answer explanation

Multiplicative Inverse means multiplying by the number's reciprocal resulting in 1.

• Commutative Property
• Associative Property
• Multiplicative Identity

• Multiplicative Inverse

Answer explanation

Multiplicative Identity means multiplying by 1, resulting in the same value.

What property is shown by the equation a + (-a) = 0?

• Commutative Property
• Associative Property
• Additive Identity
• Additive Inverse

Answer explanation

Additive Inverse means adding the number's opposite resulting in 0.

Which of the following is the correct factored form of the expression 6x + 9?

• 3(2x + 3)
• 6(x + 3)
• 6(x + 9)
• 2(3x + 4)

Answer explanation

Factor out the greatest common factor, which is 3.

Use the distributive property to expand: 4(2 + x)

• 8 + x
• 8 + 4x
• 4 + x
• 2 + 4x

Answer explanation

Distribute 4 to both terms inside the parentheses.

Which of the following is the expanded form of 3(2x - 5)?

• 6x + 15
• 5x + 3
• 6x - 15
• 3x - 10

Answer explanation

Distribute 3 to both terms and simplify.

What is the greatest common factor of 12x + 18?

• 3
• 6
• 12
• 18

Answer explanation

6 is the greatest number that divides both 12 and 18.

Factor the expression: 8x + 12

• 2(4x + 6)
• 4(2x + 3)
• 8(x + 3)
• 12(x + 8)

Answer explanation

Factor out the greatest common factor, which is 4.

What is the correct factored form of the expression -6x - 12?

• -3(2x - 4)

• -3(2x + 4)

• -3(2x + 6)

• -3(2x - 6)

Answer explanation

Factor out the greatest common factor of -3.