Linear and Non-Linear Expressions

Mr. Murphy introduces linear and non-linear expressions, explaining their properties and differences. The lesson covers definitions, examples, and how to identify and graph these expressions. Students learn to distinguish between linear and non-linear expressions based on the power of variables and practice writing and identifying them. The lesson concludes with a summary and homework instructions.

What is the primary difference between linear and non-linear expressions?

• Linear expressions have variables with powers of zero or one.

• Non-linear expressions have no variables.

• Non-linear expressions always form a straight line when graphed.

• Linear expressions have variables with powers greater than one.

Which of the following is an example of a linear expression?

• 2x^2 + 3

• 4 + 3x

• 1/x

• x^3 - 5

What characteristic makes an expression non-linear?

• A variable raised to a power greater than one.

• The presence of a constant term.

• The absence of a variable.

• A variable with a power of zero.

Which of the following expressions is non-linear?

• 7x + 5

• x^2 + 3x + 1

• 3x - 4

• 5x + 9

How many terms are in the expression 7x + 9 + 6 + 3x?

• Two

• Five

• Three

• Four

What is the power of the variable in the expression 3x^5?

• Zero

• One

• Five

• Three

Which expression is linear: 2x^2 + 9x + 5 or 57 - x?

• 2x^2 + 9x + 5

• 57 - x

• Both are linear

• Neither is linear

What happens to the graph of a non-linear expression?

• It forms a straight line.

• It forms a curve.

• It forms a circle.

• It forms a parabola.

If an expression has a variable with a power of zero, what type of expression is it?

• Quadratic

• Cubic

• Linear

• Non-linear

What is the result of graphing a linear expression?

• A parabola

• A circle

• A straight line

• A curve