Combining Like Terms and Distributive Property

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

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of like terms to simplify an expression. For example, in the expression 3x + 5x, you combine them to get 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 parentheses.

Front

Simplify: -10x + 15 - 3x + 2

Back

-13x + 17

Front

Simplify: 4 - (2x + 3) + x

Back

-x + 1

Front

Simplify: 3 + 5x + 8 - 2x

Back

11 + 3x

Front

Use the Distributive Property: 8(3t + 5) - 6(4 - t)

Back

30t + 16

Front

Use the Distributive Property: -6(3x - 9y - 10)

Back

-18x + 54y + 60

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, 5 is the constant.