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Section 4.4: Unit 3 Practice Answers

  • Page ID
    192830
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    Unit 3 Answers

    Section 3.1P: Absolute Value

    1. \( y = \left\{ \begin{array}{ll} -x-1, & \text{if } x < -1 \\ x+1, & \text{if } x \ge -1 \end{array} \right. \)
      Screen Shot 2019-09-09 at 3.12.13 PM.png
    2. \( y = \left\{ \begin{array}{ll} 4-5x, & \text{if } x < \tfrac{4}{5} \\ -4+5x, & \text{if } x \ge \tfrac{4}{5} \end{array} \right. \)
      Screen Shot 2019-09-09 at 3.14.38 PM.png
    3. \( y = \left\{ \begin{array}{ll} -x-5, & \text{if } x < -5 \\ x+5, & \text{if } x \ge -5 \end{array} \right. \)
      Screen Shot 2019-09-09 at 3.18.17 PM.png
    4. \( y = \left\{ \begin{array}{ll} 0, & \text{if } x < 0 \\ 2x, & \text{if } x \ge 0 \end{array} \right. \)
      Screen Shot 2019-09-09 at 3.20.24 PM.png
    5. \( y = \left\{ \begin{array}{ll} -x+1, & \text{if } x < 1 \\ x-1, & \text{if } x \ge 1 \end{array} \right. \)
      Screen Shot 2019-09-09 at 3.22.13 PM.png
    6. \( y = \left\{ \begin{array}{ll} -2x+1, & \text{if } x < \tfrac{1}{2} \\ 2x-1, & \text{if } x \ge \tfrac{1}{2} \end{array} \right. \)
      Screen Shot 2019-09-09 at 3.23.54 PM.png
    7. \( y = \left\{ \begin{array}{ll} 1-3x, & \text{if } x < \tfrac{1}{3} \\ -1+3x, & \text{if } x \ge \tfrac{1}{3} \end{array} \right. \)
      Screen Shot 2019-09-09 at 3.25.35 PM.png
    8. \( y = \left\{ \begin{array}{ll} 2x, & \text{if } x < 0 \\ 0, & \text{if } x \ge 0 \end{array} \right. \)
      Screen Shot 2019-09-09 at 3.26.40 PM.png
    9. Answers will vary.
    10. Answers will vary.

    Section 3.2P: Absolute Value Equations

    1. \(x=3,x=−3\)
    2. no solution
    3. \(z=0\)
    4. \(x=1, x=4\)
    5. \(x=1, \,x=−\frac{1}{2}\)
    6. \(x=\tfrac{2}{3}, x=2\)
    7. \(x=−1, \,x=−\frac{5}{2}\)
    8. \(x=-1, x=3\)
    9. \(x=7, \,x=1\)
    10. \(x=0, x=\tfrac{5}{2}\)
    11. \(x=1, \,x=−5\)
    12. \(x=-3, x=9\)
    13. \(x=7, \,x=1\)
    14. no solution
    15. no solution
    16. \(x=−1, \,x=−\frac{2}{3}\)
    17. \(x=−3, \,x=3\)
    18. Answers will vary.

    Section 3.3P: Absolute Value Inequalities

    1. \((-5,5)\)
    2. \((-1,1)\)
    3. \([-3,3]\)
    4. \([-1,3]\)
    5. \([1,4]\)
    6. \((-\infty,-6)\cup(6,\infty)\)
    7. \((-\infty,-2]\cup[2,\infty)\)
    8. \((-\infty,-5\cup[5,\infty)\)
    9. \((-\infty,\infty)\)
    10. \((-\infty,-\tfrac{2}{3})\cup(2,\infty)\)
    11. No Solution
    12. No Solution
    13. \(\left(-\tfrac{1}{3},2\right)\)
    14. No Solution
    15. \((-\infty,-2)\cup(3,\infty)\)
    16. \((-\infty,6]\cup[8,\infty)\)
    17. \((-\infty,\infty)\)
    18. \((-\infty,\infty)\)
    19. The minimum to maximum expected production is 207,500 to 2,225,000 bottles.
    20. The acceptable weight is 22.5 to 25.5 ounces.
    21. Answers will vary.

    This page titled Section 4.4: Unit 3 Practice Answers is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Math Department.

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