Properties and Expressions Flashcard

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

Use the Distributive Property to simplify: 9(x + 7)

Back

9x + 63

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Front

Complete the expression using the Commutative Property: 2b + 7 + 5a² = 5a² + 2b + __

Back

7

Front

What property is shown by the equation 15y + 7x = 7x + 15y?

Back

Commutative Property

Front

Identify the property: a + 0 = a

Back

Identity Property of Addition.

Front

Which expressions are equivalent? 2x + 8 and 2(x + 4)

Back

Yes, they are equivalent.

Front

Which expressions are NOT equivalent? 16y + 8 and 8(2y + y)

Back

They are NOT equivalent.

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped does not change their sum or product. For example, (a + b) + c = a + (b + c).

Front

Use the Distributive Property: 3(x + 5)

Back

3x + 15