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 single term by two or more terms inside a set of parentheses.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 2x + 3x = 5x.

Front

Simplify: -2x + 4 + 2x - 4

Back

0

Front

Simplify: -2x + 4 - 2x + 4

Back

-4x + 8

Front

Simplify: 3x + 4 + 5x + 6

Back

8x + 10

Front

Simplify: 2(x + 4) + 2

Back

2x + 10

Front

Simplify: -2x + 5x + 3 + 3

Back

3x + 6

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.

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 3x + 5, 5 is the constant term.