Combining Like Terms and Distributive Property - No Negative

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, in 3x + 5x, you add the coefficients: 3 + 5 = 8, so the result is 8x.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

How do you apply the Distributive Property?

Back

To apply the Distributive Property, multiply the term outside the parentheses by each term inside the parentheses. For example, 4(3x - 5) becomes 4*3x - 4*5 = 12x - 20.

Front

What is the result of combining like terms: 12y - 8 + 3y - 2?

Back

The result is 15y - 10.

Front

What is the result of distributing: 4(3x - 5)?

Back

The result is 12x - 20.

Front

What is the result of distributing and combining like terms: 2(4x + 7) + 3x?

Back

The result is 11x + 14.

Front

What is the result of distributing: 5(3x - 8)?

Back

The result is 15x - 40.

Front

What is the result of combining like terms: 3x + 5 + 2x - 7?

Back

The result is 5x - 2.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as simple as possible.