Combine Like Terms and 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

How do you simplify the expression 3x + 2x?

Back

You combine like terms to get 5x.

Front

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

Back

The result is 4*2 + 4*3 = 8 + 12 = 20.

Front

If you have the expression 5(x + 2), what is the simplified form?

Back

The simplified form is 5x + 10.

Front

What is the first step in simplifying the expression 2(3x + 4)?

Back

The first step is to apply the distributive property: 2*3x + 2*4 = 6x + 8.

Front

How do you simplify the expression 7y - 2y + 3?

Back

Combine like terms to get 5y + 3.

Front

What is the result of - (2x + 3)?

Back

The result is -2x - 3.

Front

How do you simplify the expression 2(5n + 1)?

Back

Apply the distributive property to get 10n + 2.

Front

What is the simplified form of 3x + 2x - 6?

Back

The simplified form is 5x - 6.