Combine Like Terms and Distributive Property

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 the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Simplify the expression: 4(-x - 6)

Back

-4x - 24

Front

Simplify the expression: 2x + 7(x - 5) - 4

Back

9x - 39

Front

What is the result of combining the terms n - 10 + 9n - 3?

Back

10n - 13

Front

Simplify the expression: 3 + 5x + 8 - 2x

Back

11 + 3x

Front

What is the result of applying the distributive property to 2(c - 8)?

Back

2c - 16

Front

How do you identify like terms in an expression?

Back

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

Front

What is the first step in simplifying an expression using the distributive property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

If you have the expression 5(x + 2) - 3x, how would you simplify it?

Back

5x + 10 - 3x = 2x + 10.