Combining Like Terms w/Distributive Property

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 the expression: 2x + 3x.

Back

5x.

Front

Simplify the expression: 4y + 2 - 3y + 5.

Back

y + 7.

Front

What is the result of applying the distributive property to 3(2x + 4)?

Back

6x + 12.

Front

Simplify the expression: 7a - 2a + 5.

Back

5a + 5.

Front

What is the first step in simplifying the expression 5x + 3 - 2x + 8?

Back

Combine like terms: 5x - 2x and 3 + 8.

Front

What is the simplified form of 4(3x - 2) + 2x?

Back

14x - 8.

Front

If you have the expression 10 - 2(3 + x), what is the simplified form?

Back

4 - 2x.

Front

What does it mean for terms to be 'like terms'?

Back

Like terms are terms that have the same variable raised to the same power.