Distribute,Combine like terms and factor

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply a term by each term inside a set of parentheses. For example, in 2(3 + 4), you would calculate 2*3 + 2*4.

Front

What is a like term?

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 combine like terms?

Back

To combine like terms, you add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = 8x.

Front

Simplify the expression: 6 + 2(7x - 3)

Back

14x.

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 each term inside a parentheses.

Front

Simplify the expression: 2(4 + 9w)

Back

8 + 18w.

Front

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

Back

The first step is to apply the distributive property to eliminate the parentheses.

Front

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

Back

90 – 68x.

Front

What do you do when you have multiple like terms in an expression?

Back

You combine them by adding or subtracting their coefficients.

Front

What is the result of 8(5f - 7) + 3f?

Back

43f - 56.