Combining Like Terms and Distributing Review

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 can distribute a factor across a sum.

Front

Simplify: 3(2x + 5)

Back

6x + 15

Front

Simplify: 4(x + 3)

Back

4x + 12

Front

Which expression is equivalent to 6(8x - 2)?

Back

48x - 12

Front

Simplify: 7(9n - 2)

Back

63n - 14

Front

What is a like term?

Back

A like term is a term that has the same variable(s) raised to the same power.

Front

What is the first step in simplifying the expression -2x + 11 + 6x?

Back

Combine the like terms -2x and 6x to get 4x.

Front

What is the result of combining the like terms in the expression 5x + 3x?

Back

8x

Front

If you have the expression 2(x + 4) + 3(x - 1), how do you simplify it?

Back

Distribute first: 2x + 8 + 3x - 3, then combine like terms to get 5x + 5.