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Algebra - 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!

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Question 1 1. Which symbol is used to represent absolute value?

Question 2 2. Evaluate |5 - 3| + 4|3 - 5|

Question 3 3. Which inequality represents the following graph?

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

Question 5 5. Solve the equation: |x| = 99.

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Question 6 6. What number can we substitute for x that will make the absolute value of x = 12?

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

Question 8 8. What type of compound inequality is it when both conditions must be true for the solution to work, or when the absolute value is less than?

Question 9 9. Solve the equation: |2x - 5| = 5.

Question 10 10. Evaluate |r+4| - 3|s| when r = 5 and s = -1.

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Question 11 11. Evaluate |r+s|-(r+s) when -s = r+8.

Question 12 12. Solve the equation: 3|x - 2| - 1 = 11.

Question 13 13. What is the first step to solving the equation |4x - 2| = 5?

Question 14 14. 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 15 15. Solve the equation: |2x + 5| = 11.

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Question 16 16. What is the first step to solving the equation |2x + 1| - 5 = 7?

Question 17 17. Absolute value symbols should be treated like which one of the following?

Question 18 18. What does a closed dot on a number line signify?

Question 19 19. Which of the following inequalities does not have a solution?

Question 20 20.

Express the following absolute value inequality as two inequalities.

|x + 2| > 1

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Question 21 21. Absolute values make positive numbers _____ and negative numbers _____.

Question 22 22. Which inequality represents the following graph?

Question 23 23. 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 24 24. Solve the following inequality:

Question 25 25. Solve the equation: |3x - 9| = 27.

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Question 26 26. Solve the equation: |x + 8| = -1.

Question 27 27. Graph the following inequality: |x| > 2

Question 28 28. Solve the equation: -2|x| = 10.

Question 29 29. What is correct expression for the absolute value of the following number: 8?

Question 30 30. 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?

Algebra - 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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