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 add linear expressions?

Back

To add linear expressions, combine like terms by adding their coefficients.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Simplify the expression: 2(x + 3) + (3x + 1)

Back

5x + 7

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

What is the perimeter of a rectangle with length 4x and width 2?

Back

The perimeter is given by the formula P = 2(length + width), so P = 2(4x + 2) = 8x + 4.

Front

How do you subtract linear expressions?

Back

To subtract linear expressions, subtract the coefficients of like terms.

Front

Simplify the expression: 1/2(4x + 4) + (2x + 8)

Back

4x + 10

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.

Front

Combine the expressions: (x - 1) + (2x + 3)

Back

3x + 2