Adding & Subtracting Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one. It can be written in the form ax + b, where a and b are constants.

Front

How do you simplify the expression -2(x - 6) - (3x + 4)?

Back

-5x + 8

Front

What is the perimeter of a triangle with side lengths (x + 4), (2x + 1), and (3x - 2)?

Back

(6x + 3) feet

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the result of simplifying the expression 2(x - 7) - (4x - 3)?

Back

None

Front

How do you distribute in the expression -4(x - 6) - 3(x - 2)?

Back

You multiply each term inside the parentheses by the factor outside, resulting in -4x + 24 - 3x + 6.

Front

What is the equivalent expression for -2(3x - 3) - 4(x + 5)?

Back

None

Front

What is the first step in simplifying the expression -5(x + 2) + 3(x - 4)?

Back

Distribute -5 and 3 to the terms inside the parentheses.

Front

What is a coefficient in a linear expression?

Back

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

Front

How do you find the value of x in the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to get 3x = 15, then divide by 3 to find x = 5.