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 -4(8r + 3), you would multiply -4 by both 8r and 3.

Front

What is the result of distributing -4 in the expression -4(8r + 3)?

Back

-32r - 12

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, in 3x + 2x, you can combine them to get 5x.

Front

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

Back

-2x - 12

Front

What is the result of simplifying the expression -5(n + 4) + 5n?

Back

-20

Front

What is the first step in simplifying the expression -7x + 5(1 - 8x)?

Back

Distribute 5 to both terms inside the parentheses: 5 * 1 and 5 * -8x.

Front

What is the final simplified form of -7x + 5(1 - 8x)?

Back

5 - 47x

Front

How do you simplify the expression 3x - (x - 6) - 12?

Back

First, distribute the negative sign: 3x - x + 6 - 12, then combine like terms.

Front

What is the result of simplifying 3x - (x - 6) - 12?

Back

2x - 6

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by multiple terms inside parentheses.