HiSET Mathematics: 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!

Page 1

Question 1 1. Solve: 6 - 8x > -16x + 10

Question 2 2. Solve: -9x > -81

Question 3 3. Which statement would be represented by an inequality?

Question 4 4. What part is shaded for the graph of y < x^2 - 1?

Question 5 5.

Which of the following functions will have the bottom portion of the graph shaded?

A: y < x^2

B: y ≤ x^2

C: y > x^2

D: y ≥ x^2

Page 2

Question 6 6. Everyone in your family is older than 3 but younger than 97. Express this fact using interval notation.

Question 7 7. Solve |-2x| > 6

Question 8 8.

What are the two problems needed to set up this absolute value inequality for solving?

x + 1 < 2

Question 9 9. What kind of inequality is used when the line is solid and the shading is above the line?

Question 10 10. Solve |x| = 4

Page 3

Question 11 11. Which part of this graph is the solution region?

Question 12 12. Which sentence best describes an 'AND' compound inequality?

Question 13 13. Solve |x| = -3

Question 14 14. The solution set is all values of x, such that x is greater than 30, and less than 45. Express the solution set for this compound inequality using set notation.

Question 15 15. Solve |x + 1| < 2

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Question 16 16. Which of the following functions will have a dashed line for the graph?

Question 17 17. What makes solving inequalities different from solving equations?

Question 18 18. Solve: x + 9 > 0

Question 19 19. What is the x value of the high or low point of the parabola f(x) = x^2 + 1?

Question 20 20. Solve: 2x + 7 < 5x +19

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Question 21 21. 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 22 22. All of the following are quadratic inequalities, EXCEPT:

Question 23 23. Which rule do you need to remember when solving a 1-variable absolute value inequality?

Question 24 24. Which sentence best describes an 'OR' compound inequality?

Question 25 25. How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality?

Page 6

Question 26 26. Solve: 5x - 8 ≤ 6 - 2x

Question 27 27. What symbol is used to notate a system of functions?

Question 28 28. Which part of the graph is shaded for the quadratic inequality y < x^2 - 4x + 5?

Question 29 29. What inequality symbol is represented by the red dashed line?

HiSET Mathematics: 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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