Understanding Linear Equations

What is a key characteristic of a linear equation?

• It can have more than two variables.

• It can have variables in the denominator of a fraction.

• It must have variables with an exponent of one.

• It can have variables with exponents greater than one.

Which of the following equations is not linear?

• y = 3x - 4

• y = x^2 + 5

• y = 2x + 3

• y = 5x + 7

Why is an equation with a variable in the denominator not considered linear?

• Because it can be simplified to a linear form.

• Because it has an exponent of one.

• Because it has more than two variables.

• Because it results in a curve when graphed.

What is the result of distributing terms in the equation y = -6(x + 10)?

• y = -6x + 60

• y = -6x - 60

• y = 6x - 60

• y = 6x + 60

Which equation is linear after simplification?

• y = 4x + 5

• y = 2x^2 + 3x

• y = x^2 - 4x

• y = 3x - x^2