Combine Like Terms with 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 multiplier across terms inside parentheses.

Front

Simplify the expression: -8 (5b + 2) - 7 (b - 5)

Back

-47b - 19

Front

Simplify the expression: 2x + 1 + 7x

Back

9x + 1

Front

Simplify the expression: -2(x + 4) - 3(a - 6)

Back

-2x - 3a + 10

Front

Simplify by combining like terms: 4x² - 3x + 11 - 2x

Back

4x² - 5x + 11

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the result of combining 3x² + 4x²?

Back

7x²

Front

How do you apply the distributive property to the expression 3(2x + 4)?

Back

3(2x + 4) = 6x + 12.

Front

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

Back

The first step is to distribute the multiplier to each term inside the parentheses.