Combining Like Terms and Distributive Property

Front

What does it mean to combine like terms in algebra?

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: -6k + 7k

Back

k

Front

Simplify: -3( -10x - 5)

Back

30x + 15

Front

Simplify: 9(-5x + 8)

Back

-45x + 72

Front

Simplify: -(x + 5)

Back

-x - 5

Front

Simplify: -3(2c - 5)

Back

-6c + 15

Front

What is a like term?

Back

A like term is a term that has the same variable raised to the same power as another term.

Front

What is the first step in applying the distributive property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

If you have the expression 4x + 3x, what is the simplified form?

Back

7x