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 the expression a(b + c), you would calculate it as ab + ac.

Front

How do you combine like terms in an expression?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power. For example, in 3x + 4x, you combine them to get 7x.

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 in a sum or difference.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms, while 2x and 3y are not.

Front

What is the result of distributing -2 into (n + 5)?

Back

The result is -2n - 10.

Front

How do you simplify the expression 4h - 3(2h + 5)?

Back

First, distribute -3 to get 4h - 6h - 15, then combine like terms to get -2h - 15.

Front

What is the first step in simplifying the expression 8(5f - 7) + 3f?

Back

The first step is to distribute 8 into the parentheses: 40f - 56 + 3f.

Front

What do you get when you combine 40f and 3f?

Back

You get 43f.

Front

What is the simplified form of -4 + 7(1 - 3m)?

Back

First, distribute 7 to get -4 + 7 - 21m, then combine like terms to get 3 - 21m.

Front

What is the result of the expression 8h + 7(2 + 4h)?

Back

Distributing gives 8h + 14 + 28h, which simplifies to 36h + 14.