Add and Subtract 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 add linear expressions?

Back

Adding linear expressions involves combining like terms to simplify the expression.

Front

What does it mean to subtract linear expressions?

Back

Subtracting linear expressions involves changing the signs of the terms in the expression being subtracted and then combining like terms.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Simplify: (9x + 7) - (x + 3)

Back

8x + 4

Front

Simplify: (3x - 4) + (x - 5)

Back

4x - 9

Front

Simplify: (2x - 4) + (-x + 9)

Back

x + 5

Front

Simplify: (-3x + 15) + (-3x + 2)

Back

-6x + 17

Front

Simplify: (-4x - 2) - (-13x + 1)

Back

-17x - 3

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 each term inside a parenthesis.