# Lesson Worksheet: Two-Variable Quadratic Inequalities Mathematics

In this worksheet, we will practice representing solutions to quadratic inequalities in two variables graphically.

Q1:

Write the inequality that represents the shaded area of the following graph. • A
• B
• C
• D
• E

Q2:

Which of the following is the graph of the inequality ?

• A • B • C • D • E Q3:

Graph the equation and, using this graph, shade the solution of the inequality .

• A • B • C • D • E Q4:

You are a member of a theater production crew. You use manila rope to support lighting, scaffolding, and other equipment. The weight (in pounds) that can be safely supported by a rope with diameter (in inches) is given by .

Using the graph of the inequality, can 1,000 pounds of theater equipment be supported by a rope where ?

• ANo
• BYes

Q5:

In 1992, the average income (in thousands of dollars) for a teacher aged years could be modeled by .

Graph the equation for average income versus age for teachers aged 20 and over.

• A • B • C • D • E On the same graph draw a line which represents an average income of \$25,000.

• A • B • C • D • E Using the last graph, find for what ages the average income for a teacher exceeded 25 thousand dollars.

• A
• B
• C
• D
• E

Q6:

Write the inequality that represents the shaded area of the following graph.

• A
• B
• C
• D
• E

Q7:

Which of the following is the graph of the inequality ?

• A
• B
• C
• D
• E

Q8:

Write the inequality that represents the shaded area of the following graph.

• A
• B
• C
• D
• E

Q9:

Write the inequality that represents the shaded area of the following graph.

• A
• B
• C
• D
• E

This lesson includes 45 additional question variations for subscribers.