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Absolute Value Equations & Inequalities 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. Evaluate the following equation if (x - y) = 5

Question 2 2. Evaluate |4+7|-|4-7|

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

Question 5 5. Solve the following:

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Question 6 6. A transformation that shifts the graph up/down or left/right is called a _____.

Question 7 7. 'Solve the equation' means to _____.

Question 8 8. Which of the following is an AND compound inequality?

Question 9 9. Which equation depicts the following graph:

Question 10 10. Solve the following:

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Question 11 11. Which of the following inequalities does not have a solution?

Question 12 12. Graph the following inequality: |x| > 2

Question 13 13. Solve the equation: |2x + 5| = 11.

Question 14 14. Which equation matches the graph below?

Question 15 15. Solve the following:

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Question 16 16. Which of the following equations correctly describes this graph?

Question 17 17. Solve the equation: |2x-5|=5.

Question 18 18. Absolute values make positive numbers _____ and negative numbers _____.

Question 19 19.

Which of the following is true?

I. |x - 5| = |x + 5|

II. -|x| > -5 is an AND compound inequality

III. |x - 3| = 1 has only one root

Question 20 20. What is the first step to solving the equation |4x - 2| = 5 ?

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Question 21 21. Evaluate |r+4| - 3|s| when r = 5 and s = -1.

Question 22 22. Solve the equation: -2|x| = 10.

Question 23 23. 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 24 24. What does a closed dot on a number line signify?

Question 25 25. Absolute values only take into account _____.

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Question 26 26. Which graph below could represent an absolute value?

Question 27 27. Which statement is true about absolute values?

Question 28 28. Which of the following equations describes the following graph?

Question 29 29. Which of the following equations will cause a dilation of the equation: y = |x|?

Question 30 30. Evaluate |r+s|-(r+s) when -s = r+8.

Absolute Value Equations & 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!

Math 105: Precalculus Algebra  /  Math Courses
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