# Solving and Graphing Inequalities Chapter Exam

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Exam Progress:

### Page 1

#### Question 1 1. 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 2 2. The Texas club is sponsoring a bake sale. If their goal is to raise at least $450, how many pastries (P) must they sell at $9.00 each in order to meet that goal?

#### 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 part of this graph is the solution area?

#### Question 5 5. Inequalities can appear in which of the following types of equations?

### Page 2

####
Question 6
6.
Solve the system of inequalities:

Y ≤ 2x

X ≥ -2

#### Question 7 7. Which of the following is a type of inequality sign?

#### Question 8 8. 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 9 9. Which of the following number lines represents the solution for x in the inequality 3-2x > 11?

#### Question 10 10. Which inequality is shown by the graph?

### Page 3

#### Question 11 11. What is the solution to the inequality |(3x+4)/2| -5 ≥ 8 ?

#### Question 12 12. Which inequality represents the following graph?

#### Question 13 13. What makes solving inequalities different from solving equations?

#### Question 14 14. Write a compound inequality that the graph could represent?

#### Question 15 15. Which of the following inequalities does not have a solution?

### Page 4

#### Question 16 16. How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality?

#### Question 17 17. When are absolute values important?

#### Question 18 18. An open dot on a number line signifies that _____.

#### Question 19 19. Which inequality represents the following graph?

#### Question 20 20. This graph corresponds to which inequality?

### Page 5

#### Question 21 21. Which number line is correct for the compound inequality -3 \leq (6/(2x+1)) < 5 ?

#### Question 22 22. Which system of inequalities is represented by shaded part of the graph?

####
Question 23
23.
Solve for x:

5 - x > 4x +20

#### Question 24 24. A compound inequality where both conditions must be true for the solution to work, or when the absolute value is less than, is called a(an) _______ compound inequality.

#### Question 25 25. Which point is a solution to the following system of inequalities: 4x + 2y < 8 and x - 6y < -2?

### Page 6

#### Question 26 26. What is the correct symbol for 'greater than?'

#### Question 27 27. Which of the following graphs represents the inequality y < |4x-5|+2 ?

#### Question 28 28. What is the solution to the inequality |-8 - 6x| < 10?

####
Question 29
29.
Which point is a solution to the following system of inequalities?

Y < -2x+4

X ≥ -2

Y > -4

#### Question 30 30. Which of the following is an example of an inequality?

#### Solving and Graphing Inequalities Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "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. You will lose your work if you close or refresh this page. Good luck!