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# Solving & Graphing Linear Inequalities Chapter Exam

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. What does a shaded circle or an open circle mean?

#### Question 2 2. What is the difference between a conjunction and a disjunction?

#### Question 3 3. Solve -5 < 2x -3 and 2x - 3 < 5

####
Question 4
4.
This equation is an example of which one of the following?

Ax + By > C

#### Question 5 5. Typically, an inequality can have how many solutions?

### Page 2

#### Question 6 6. Which of the following is a type of inequality sign?

#### Question 7 7. How do you graph the feasible region of a system of inequalities?

####
Question 8
8.
Consider the following system of inequalities:

A. y > x + 1

B. y < 10

C. x > 1

Which of the following is NOT in the feasible region of this system?

#### Question 9 9. The lines x = 10, y = -4, and y = x are shown on the graph below. Which of the colored regions represents the feasible region of the three inequalities x < 10, y > -4, and y < x? Choose the answer that represents the ENTIRE feasible region, but does not cover any areas outside the feasible region.

#### Question 10 10. Which inequality is graphed below?

### Page 3

####
Question 11
11.
Solve and graph the following inequality:

2x + 5 > 11.

#### Question 12 12. How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality?

#### Question 13 13. Which inequality represents the following graph?

####
Question 14
14.
Express the following absolute value inequality as two inequalities.

*|*x + 2*|* > 1

*|*x + 2

*|*> 1

#### Question 15 15. Which inequality represents the following graph?

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

#### Question 19 19. This graph corresponds to which inequality?

#### Question 20 20. What part of this graph is the solution area?

### Page 5

#### Question 21 21. Solve the following inequality: x + 2 > 10.

#### Question 22 22. Graph the following inequality: |x| > 2

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

#### Question 24 24. When the arrows of an inequality go in opposite directions, or the absolute value is greater than, what type of a compound inequality are we working with?

#### Question 25 25. Solve: 6 - 8x > -16x + 10

### Page 6

#### Question 26 26. Solve: x + 9 > 0

#### Question 27 27. Solve: -9x > -81

#### Question 28 28. Solve 5x - 1 < 9 or 2x + 3 < 5

#### Question 29 29. Which of the following is an example of an inequality?

#### Question 30 30. The feasible region of a system of inequalities is…

#### Solving & Graphing Linear 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!