Combining Like Terms

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 9 x 1 = 9.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in -2x + 6x, you can combine to get 4x.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 6 x 7 = 7 x 6.

Front

How many terms are in the expression 3x + 2y + z?

Back

There are 3 terms in the expression: 3x, 2y, and z.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped does not change their product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, such as 4x or 7.

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 two or more terms inside a parenthesis.

Front

What is the difference between a coefficient and a constant?

Back

A coefficient is a number that multiplies a variable (e.g., in 4x, 4 is the coefficient), while a constant is a fixed value that does not change (e.g., in 5, 5 is a constant).

Front

What is the result of combining -2x + 11 + 6x?

Back

The result is 4x + 11.

Front

What is the result of simplifying 3x² - x + 2 - 5x² + 8x - 5?

Back

The result is -2x² + 7x - 3.