Adding, Subtracting and Factoring 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

How do you find the perimeter of a figure represented by a linear expression?

Back

To find the perimeter, sum the lengths of all sides represented by linear expressions.

Front

What is the sum of the expressions 1/2 (4x + 4) + (2x + 8)?

Back

4x + 10

Front

How do you factor the expression -3 + 6x completely?

Back

-3(1 + 2x)

Front

What is the difference when you subtract (5u + 1) from (8 - u)?

Back

-6u + 7

Front

What is the result of the expression (-8x + 1) – (8x – 1)?

Back

-16x + 2

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions that can be multiplied together to get the original expression.

Front

What is the formula for the perimeter of a rectangle with length 'l' and width 'w'?

Back

Perimeter = 2l + 2w.

Front

How do you combine like terms in an expression?

Back

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 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.