Equivalent Expressions and Properties

Front

What is the identity property of addition?

Back

The identity property of addition states that when you add zero to any number, the result is that number. For example, a + 0 = a.

Front

Provide an example of the identity property of addition.

Back

3 + 0 = 3.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

How do you distribute in an expression like 5(y + 2) + 4?

Back

You apply the distributive property: 5(y + 2) = 5y + 10, so the expression becomes 5y + 10 + 4.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Which expression is NOT equivalent to 3 x 5 x 8?

Back

3 x 5 x 3 is NOT equivalent because it does not yield the same product.

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

Provide an example of the Commutative Property of Addition.

Back

3 + x = x + 3.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, ab = ba.

Front

What is the Associative Property of Addition?

Back

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