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

Identify the like terms in the expression: 3a + 4 - 5a + 6b.

Back

The like terms are 3a and -5a.

Front

What is the result of combining the like terms in the expression: 3a + 4 - 5a + 6b?

Back

The result is -2a + 6b + 4.

Front

Are the terms 3x and 3 like terms?

Back

No, they are not like terms because they do not have the same variable.

Front

What is the simplified form of the expression: 7v + 2 + 12 + 2v?

Back

The simplified form is 9v + 14.

Front

How do you simplify the expression: 5a + 2b - 3a + 4?

Back

You combine like terms to get 2a + 2b + 4.

Front

In the expression 3x + 4 - 5y + 7x, what are x and y called?

Back

x and y are called variables.

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 would you apply the Distributive Property to the expression 2(3 + 4)?

Back

You would calculate it as 2*3 + 2*4, which equals 6 + 8 = 14.

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

The first step is to distribute the factor to each term inside the parentheses.