Adding & Subtracting Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the result of 2(x - 7)?

Back

2(x - 7) = 2x - 14.

Front

What is the result of -4(x - 6)?

Back

-4(x - 6) = -4x + 24.

Front

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

Back

-2(3x - 3) = -6x + 6.

Front

What is the result of -4(x + 2)?

Back

-4(x + 2) = -4x - 8.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable.

Front

What is the expression for 2(x - 7) - (4x - 3)?

Back

2(x - 7) - (4x - 3) = -6x - 17.