Distribute and Combine like terms

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply a term by each term inside a set of parentheses. For example, in 3(2 + 4), you would calculate 3*2 + 3*4.

Front

What is combining like terms?

Back

Combining like terms is the process of simplifying an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify the expression: 8h + 7(2 + 4h)

Back

36h + 14

Front

Simplify the expression: 6 + 2(7x - 3)

Back

14x

Front

Which property allows you to change the order of addition?

Back

The Commutative Property of Addition states that changing the order of addends does not change the sum.

Front

Which property allows you to change the grouping of addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a across the terms inside the parentheses.

Front

Simplify the expression: 8(5f - 7) + 3f

Back

43f - 56

Front

Simplify the expression: 5(2x + 3)

Back

10x + 15

Front

Simplify the expression: 2(4 + 9w)

Back

8 + 18w