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 the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

Simplify the expression: -7x + 5(1 - 8x)

Back

5 - 47x

Front

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

Back

-10x - 12

Front

Simplify the expression: 7 + 3(1 - 2x)

Back

10 - 6x

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as the 5 in 5x.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

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

Back

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

Front

Simplify the expression: 8x - 6(3 - 2x)

Back

20x - 18

Front

What is the result of combining the like terms 4x + 3x?

Back

7x