Properties and combine like terms

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that when three or more numbers are added, the way in which they are grouped does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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, 5 + 3 = 3 + 5.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that when three or more numbers are multiplied, the way in which they are grouped does not change the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

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, 4 × 5 = 5 × 4.

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even though it may look different. For example, 2(3 + 4) and 14 are equivalent.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power. For example, 3x + 4x = 7x.

Front

What is the result of 5(a + 6)?

Back

5(a + 6) = 5a + 30, using the Distributive Property.

Front

What is the result of 4(2x + 3)?

Back

4(2x + 3) = 8x + 12, using the Distributive Property.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.