Distribute and Combine like terms

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply a term by each term inside a set of parentheses. For example, in 3(x + 4), you would multiply 3 by x and 3 by 4, resulting in 3x + 12.

Front

What is combining like terms?

Back

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

Front

Simplify the expression: -5(n + 4) + 5n

Back

-20

Front

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

Back

5 - 47x

Front

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

Back

-2x - 12

Front

Which expression is equivalent to 8(5f - 7) + 3f?

Back

43f - 56

Front

Simplify the expression: 9(10 - 8x) + 4x

Back

90 - 68x

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 parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you simplify an expression with parentheses?

Back

You apply the distributive property to eliminate the parentheses, then combine like terms.