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 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

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same.

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.

Front

How do you simplify the expression -2(h - 4)?

Back

Using the distributive property: -2(h - 4) = -2h + 8.

Front

What is the result of combining the expressions (3w - 8) and (-6w - 4)?

Back

The result is -3w - 12.

Front

How do you simplify the expression ¼(8m - 12) + ⅓(6 - 9m)?

Back

First, distribute: ¼(8m - 12) = 2m - 3 and ⅓(6 - 9m) = 2 - 3m. Then combine: 2m - 3 + 2 - 3m = -m - 1.

Front

What is the difference between (-3h + 4) and (h + 11)?

Back

The difference is -4h - 7.