# Inequalities Chapter Exam

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### Page 1

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Question 1
1.
Which point is within the solution set of:

2x + y < 3

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Question 2
2.
Solve and graph the following inequality:

2x + 5 > 11.

#### Question 3 3. Which inequality represents the following graph?

#### Question 4 4. When are absolute values important?

#### Question 5 5. An inequality will always have _____ solution(s).

### Page 2

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Question 6
6.
Find the point that is NOT in the solution set of the system of inequalities.

y > 2x - 3

x < y

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

#### Question 8 8. Which sentence best describes an 'AND' compound inequality?

#### Question 9 9. What is the correct symbol for 'greater than?'

#### Question 10 10. 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?

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#### Question 11 11. This graph corresponds to which inequality?

#### Question 12 12. Which is the correct mathematical way to write, 'x is at least 7'

#### Question 13 13. Inequalities can appear in which of the following types of equations?

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Question 14
14.
Which value(s) of x would be within the solution set of:

*|*x*|* > 5

*|*x

*|*> 5

#### Question 15 15. Which of the following is a type of inequality sign?

### Page 4

#### Question 16 16. Everyone in your family is older than 3 but younger than 97. Express this fact using interval notation.

#### Question 17 17. Graph the following inequality: |x| > 2

#### Question 18 18. Which of the following is an example of an inequality?

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Question 19
19.
Solve for x:

-2x < 8

#### Question 20 20. What makes solving inequalities different from solving equations?

### Page 5

#### Question 21 21. This graph corresponds to which inequality?

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Question 22
22.
Express the following absolute value inequality as two inequalities.

*|*x + 2*|* > 1

*|*x + 2

*|*> 1

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Question 23
23.
Choose the point that is NOT in the solution set of the system of inequalities.

y > 2x + 2

y > 5

#### Question 24 24. 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 25 25. How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality?

### Page 6

#### Question 26 26. Choose the symbol that means 'less than'.

#### Question 27 27. Which inequality is shown in the graph?

#### Question 28 28. The graph shows which of the following?

#### Question 29 29. Which sentence best describes an 'OR' compound inequality?

#### Question 30 30. When do you graph a dashed line?

#### 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!