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Solving & Graphing Linear Inequalities Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. The lines x = 10, y = -4, and y = -x are shown on the graph below. Which of the colored regions represents the feasible region of the three inequalities x < 10, y > -4, and y < -x? Choose the answer that represents the ENTIRE feasible region, but does not cover any areas outside the feasible region.

Question 2 2. Consider the graph of three inequalities, shown below. The dots represent the area defined by each inequality. Does Point A (shown in orange) satisfy all three inequalities?

Question 3 3.

Consider the following system of inequalities:

A. y > x + 1

B. y < 10

C. x > 1

Which of the following is NOT in the feasible region of this system?

Question 4 4. Which of the following inequalities does not have a solution?

Question 5 5.

Express the following absolute value inequality as two inequalities.

|x + 2| > 1

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Question 6 6. Which inequality represents the following graph?

Question 7 7. What part of this graph is the solution area?

Question 8 8. A solid line on the coordinate plane signifies that _____.

Question 9 9. This graph corresponds to which inequality?

Question 10 10. Solve 5x - 1 < 9 or 2x + 3 < 5

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Question 11 11. What is the difference between a conjunction and a disjunction?

Question 12 12. What is the first step in solving a compound inequality?

Question 13 13. Which inequality is graphed below?

Question 14 14.

Solve and graph the following inequality:

2x + 5 > 11.

Question 15 15. Inequalities can appear in which of the following types of equations?

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Question 16 16. Solve: 6 - 8x > -16x + 10

Question 17 17. Solve: x + 9 > 0

Question 18 18. Solve: 5x - 8 ≤ 6 - 2x

Question 19 19. All of the following statements are true about inequalities, EXCEPT?

Question 20 20. Choose the best answer. An inequality will usually have _____ solution(s).

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Question 21 21. Which of the following is a type of inequality sign?

Question 22 22. Which rule do you need to remember when solving a 1-variable absolute value inequality?

Question 23 23. When are absolute values important?

Question 24 24. Graph the following inequality: |x| > 2

Question 25 25. Everyone in your family is older than 3 but younger than 97. Express this fact using interval notation.

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Question 26 26. Which sentence best describes an 'OR' compound inequality?

Question 27 27. A mathematician goes shopping and sets his budget (in dollars) using the following set notation {x | x > 50 and x < 75} where x is the amount he will spend. Which of the following is within his budget?

Question 28 28. How do you graph the feasible region of a system of inequalities?

Question 29 29. What does a closed dot on a number line signify?

Question 30 30. An open dot on a number line signifies that _____.

Solving & Graphing Linear Inequalities Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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