Distributive Property and Combining Like Terms

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

How do you combine like terms?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and applying the distributive property.

Front

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

Back

17x + 25

Front

Solve: 8(x + 3) - 2(x + 1)

Back

6x + 22

Front

Solve: 7(2 - 4x) + 8x

Back

14 - 20x

Front

Solve: 2(4x + 3) - x

Back

7x + 6

Front

Solve: 4(x + 2 + 3x)

Back

16x + 8

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.