Lesson Check: Combine like Terms and Distributive Property

Front

What does it mean to combine like terms in an algebraic 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 in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Simplify the expression: 14z - 17z.

Back

-3z.

Front

What is the result of simplifying the expression: 12 - 6z - 5 + 10z?

Back

7 + 4z.

Front

How do you simplify the expression: 3 + 5x + 8 - 2x?

Back

Combine like terms to get 11 + 3x.

Front

What is the simplified form of a + a + a + a?

Back

4a.

Front

Combine the like terms in the expression: 3r + 2r - 8t.

Back

5r - 8t.

Front

What are like terms?

Back

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

Front

How do you apply the distributive property to the expression: 2(3 + 4)?

Back

2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.

Front

What is the first step in simplifying an expression with multiple like terms?

Back

Identify and group the like terms together.