Associative Commutative and Distributive Property

Which property states that you can change the order of the numbers when adding/multiplying and STILL get the same answer?

• commutative property

• associative property

• distributive property

Which property states that you can change the grouping when adding/multiplying and STILL get the same answer?

• commutative property

• associative property

• distributive property

True or False? Associative property can be used when subtracting/dividing.

• True, you can change the grouping in subtraction/division problems.

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

Determine which equation shows associative property.

• (a + b) + c = a + (b+ c)

• abc = cab

• a(b+c) = ab + ac

• (a+b) + c = (b+a) + c

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

• Distributive

• Commutative

• Associative

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

• Distributive

• Commutative

• Associative

Each equation demonstrates a property of operations. Drag the tiles to the problem that demonstrates the property.

• Associative Property

• 2(3x - 9)  = 6x - 18

• Distributive Property

• 3(x + 1) = 3x + 3

• Associative Property

• 4x + (x + 7x) = (4x + x) + 7x

• Commutative Property

• (3x + 9) + 3 = 3x + (9 + 3)

• Distributive Property

• 5x + 2 + x = 5x + x + 2

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.