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

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 parentheses.

Front

Solve: 8h + 7(2 + 4h)

Back

36h + 14

Front

Solve: 8(5f - 7) + 3f

Back

43f - 56

Front

Solve: 9(10 – 8x) + 4x

Back

90 – 68x

Front

Solve: 8x + 3(7x - 6)

Back

29x - 18

Front

Solve: 3(2x + 4) + 4(x + 5)

Back

10x + 32

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.