# NES Math: Inequalities Chapter Exam

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### Page 1

#### Question 1 1. Solve: -9x > -81

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

#### Question 3 3. Solve: 6 - 8x > -16x + 10

#### Question 4 4. Which rule do you need to remember when solving a 1-variable absolute value inequality?

#### Question 5 5. 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.

### Page 2

#### Question 6 6. How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality?

#### Question 7 7. What kind of inequality is used when the line is solid and the shading is above the line?

####
Question 8
8.
This equation is an example of which one of the following?

Ax + By > C

#### Question 9 9. What is the x value of the high or low point of the parabola f(x) = x^2 + 1?

#### Question 10 10. Which statement would be represented by an inequality?

### Page 3

#### Question 11 11. Solve: x + 9 > 0

#### Question 12 12. Solve |x| = -3

#### Question 13 13. Solve: 2x + 7 < 5x +19

#### Question 14 14. Solve |x| = 4

#### Question 15 15. Typically, an inequality can have how many solutions?

### Page 4

#### Question 16 16. 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 17 17. Which of the following is an example of an inequality?

#### Question 18 18. Which of the following functions will have a dashed line for the graph?

#### Question 19 19. What part is shaded for the graph of y < x^2 - 1?

####
Question 20
20.
What are the two problems needed to set up this absolute value inequality for solving?

x + 1 < 2

### Page 5

#### Question 21 21. Which sentence best describes an 'AND' compound inequality?

#### Question 22 22. What symbol is used to notate a system of functions?

#### Question 23 23. Which sentence best describes an 'OR' compound inequality?

#### Question 24 24. What inequality symbol is represented by the red dashed line?

#### Question 25 25. All of the following are quadratic inequalities, EXCEPT:

### Page 6

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

#### Question 27 27. Solve |x + 1| < 2

#### Question 28 28. What makes solving inequalities different from solving equations?

#### Question 29 29. Which part of this graph is the solution region?

#### Question 30 30. Solve |-2x| > 6

#### NES 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!