Distribute and Combine Like Terms

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is a like term?

Back

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

Front

Simplify the expression: -6x + 4(x - 3)

Back

-2x - 12

Front

Simplify the expression: x + 4 - 7(x - 5)

Back

-6x + 39

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Simplify the expression: -4(8r + 3)

Back

-32r - 12

Front

What is the result of multiplying a negative number by a positive number?

Back

The result is always negative.

Front

Which of the following is equivalent to 8(5f - 7) + 3f?

Back

43f - 56

Front

Simplify the expression: -6x + 4(-x - 3)

Back

-10x - 12

Front

What is the first step in simplifying an expression with parentheses?

Back

Use the distributive property to eliminate the parentheses.