Associative, Commutative, & Distributive Property

What is an equivalent expression for 12x + (6x + 2)?

• (12x + 6x) + 2.

• 12x + 6x + 2

• 12x + 6x - 2

• (12x - 6x) + 2.

What is the result of using the Associative Property in multiplication?

• (2 × 3) × 4 = 2 × (3 × 4) = 24.

• (2 × 3) × 4 = 6 × 4 = 24.

• (2 × 3) × 4 = 2 × 12 = 24.

• (2 × 3) × 4 = 2 × (4 × 3) = 24.

What does it mean to simplify an expression?

• To combine like terms and perform operations to make it as simple as possible.

• To make an expression longer and more complex.

• To change the variables in an expression to different letters.

• To eliminate all numbers from an expression.

True or False? The Associative Property can be used with subtraction.

• True, the Associative Property applies to all operations.

• False, you cannot change the grouping in subtraction problems.

• True, it can be used if the numbers are rearranged.

• False, subtraction is not associative.

Give an example of the Associative Property in addition.

• (2 + 4) + 3 = 2 + (4 + 3) = 9.

• (3 + 5) + 2 = 3 + (5 + 2) = 10.

• (1 + 6) + 2 = 1 + (6 + 2) = 9.

• (4 + 4) + 2 = 4 + (4 + 2) = 10.

What is the Distributive Property?

• The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

• The Distributive Property states that a number added to a sum is equal to the product of the individual sums.

• The Distributive Property states that a number divided by a sum is equal to the sum of the individual quotients.

• The Distributive Property states that a number subtracted from a sum is equal to the difference of the individual terms.

Give an example of the Commutative Property in multiplication.

• 4 × 6 = 6 × 4 = 24

• 3 × 5 = 5 × 3 = 15

• 2 × 7 = 7 × 2 = 14

• 8 × 9 = 9 × 8 = 72

What is an example of the Distributive Property?

• 3(4 + 5) = 3 × 4 + 3 × 5.

• 2(6 + 3) = 2 × 6 + 2 × 3.

• 5(2 + 3) = 5 × 2 + 3 × 5.

• 4(1 + 2) = 4 × 1 + 4 × 2.

True or False? The Commutative Property can be used with division.

• True, you can change the order and get the same answer.

• False, you cannot change the order because it gives you a different answer.

• True, it applies to all operations including division.

• False, it only applies to addition and multiplication.

Which equation shows the Distributive Property?

• 8(10 - 2) = 8(10) - 8(2).

• 8(10 + 2) = 8(10) + 8(2).

• 8(10 - 2) = 8(10) + 8(2).

• 8(10) - 2 = 8(10 - 2).