NMTA Math: 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. What makes solving inequalities different from solving equations?

Question 2 2. 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 3 3. Everyone in your family is older than 3 but younger than 97. Express this fact using interval notation.

Question 4 4. What kind of inequality is used when the line is solid and the shading is above the line?

Question 5 5. What is the x value of the high or low point of the parabola f(x) = x^2 + 1?

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Question 6 6. All of the following are quadratic inequalities, EXCEPT:

Question 7 7. What part is shaded for the graph of y < x^2 - 1?

Question 8 8. Which statement would be represented by an inequality?

Question 9 9.

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

x + 1 < 2

Question 10 10.

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

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Question 11 11. Solve: -9x > -81

Question 12 12. What inequality symbol is represented by the red dashed line?

Question 13 13. Which sentence best describes an 'OR' compound inequality?

Question 14 14. What symbol is used to notate a system of functions?

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

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Question 16 16. 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 17 17. Which part of this graph is the solution region?

Question 18 18. Solve: x + 9 > 0

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

Question 20 20. Solve |x| = -3

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Question 21 21. Solve |x| = 4

Question 22 22. Solve: 6 - 8x > -16x + 10

Question 23 23. How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality?

Question 24 24. Which of the following functions will have a dashed line for the graph?

Question 25 25. Which part of the graph is shaded for the quadratic inequality y < x^2 - 4x + 5?

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

Question 27 27. Solve |-2x| > 6

Question 28 28. Which rule do you need to remember when solving a 1-variable absolute value inequality?

Question 29 29. Solve: 5x - 8 ≤ 6 - 2x

NMTA Math: 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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