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Absolute Value Equations & Inequalities: Help and Review 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!

Page 1

Question 1 1. What is the first step to solving the equation |4x - 2| = 5?

Question 2 2. Solve the equation: |2x + 5| = 11.

Question 3 3. Solve the equation: 3|x - 2| - 1 = 11.

Question 4 4. What does a closed dot on a number line signify?

Question 5 5. Which of the following inequalities does not have a solution?

Page 2

Question 6 6. Evaluate |r+s|-(r+s) when -s = r+8.

Question 7 7. If a question requires us to know the value of |2x + y|, but all we know is that |x + y| = 5, what can we do?

Question 8 8. Evaluate |5 - 3| + 4|3 - 5|

Question 9 9. What number can we substitute for x that will make the absolute value of x = 12?

Question 10 10. What is correct expression for the absolute value of the following number: 8?

Page 3

Question 11 11. What is the first step to solving the equation |2x + 1| - 5 = 7?

Question 12 12. Which inequality represents the following graph?

Question 13 13. Which symbol is used to represent absolute value?

Question 14 14. Solve the equation: |x + 8| = -1.

Question 15 15. Which rule do you need to remember when solving a 1-variable absolute value inequality?

Page 4

Question 16 16. Solve the equation: -2|x| = 10.

Question 17 17. If a question requires us to know the value of y-x, but all we know is that x+2=y, what can we do?

Question 18 18. Solve the equation: |2x - 5| = 5.

Question 19 19. Solve the equation: |3x - 9| = 27.

Question 20 20. Solve the equation: |x| = 99.

Page 5

Question 21 21. Absolute value symbols should be treated like which one of the following?

Question 22 22. Evaluate |4 + 7| - |4 - 7|

Question 23 23. Absolute values make positive numbers _____ and negative numbers _____.

Question 24 24. Which inequality represents the following graph?

Question 25 25. Evaluate |r+4| - 3|s| when r = 5 and s = -1.

Page 6

Question 26 26.

Express the following absolute value inequality as two inequalities.

|x + 2| > 1

Absolute Value Equations & Inequalities: Help and Review 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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