PreCalculus Review

Kevin Hopkins, Feb 12, 2014

Worksheets intended to provide review problems for those preparing for Calculus. Most worksheets also contain information about videos at Khan Academy on the topic being reviews. Look at the directions above the worksheet to find video links. I have located a couple practice Calculus Readiness Tests. You might try them to identify specific topics you need to brush up on. [url]https://www.sfu.ca/math/calculus_readiness_test/practice_test.html[/url] and [url]http://defunct.mdtp.ucsd.edu/test_new/?show_instructions=3[/url] Feel free to email me at khopkins@sbuniv.edu if you think there is an error in any worksheet (please be as specific as possible-a screenshot of the error would be most helpful). I tested them quite a bit, but there could be things that come up that I didn’t encounter in my testing. I would also like to know if you used these and found them useful. If so, can you think of ways I could expand them? I would encourage you to watch an introductory video ([url]http://youtu.be/zzz42Y_qZJw[/url]) to get a feel for how the worksheets operate.

Table of Contents

  1. Graphing
    1. Graphing Functions-Section 1.1
  2. Algebra Review
    1. Lines
    2. Perpendicular and Parallel Lines-Section 2.7-2.8
    3. Solving a system of equations-Section 3.1-3.2 in College Alg
    4. Algebra of Function
    5. Evaluate f(x + h)
    6. Work with difference quotient
    7. Solving Quadratics by Factoring
    8. Working with circles.
    9. Solving Linear Inequalities
    10. Solving Absolute Value Inequalities
    11. Solving Quadratic Inequalities
    12. Solving Polynomial Inequalities
    13. Solving Rational Inequalities
  3. Trigonometry Review
    1. Convert angles in degrees to radians
    2. Convert angles in radians to degrees
    3. Trig values for standard angles
    4. Find Angle from Trig Function Value
    5. Appendix D (covered after section 2.3)-Graph of Sin(x)
    6. Appendix D (covered after section 2.3)-Graph of Cos(x).
    7. Appendix D (covered after section 2.3)-Graph of Tan(x)
    8. Function Transformations
    9. Solving a Right Triangle

1.

Graphing

Sometimes you just need an accurate graph to get an idea of what the function is doing. In this chapter are some graphing resources.

  • 1. Graphing Functions-Section 1.1

1.1.

Graphing Functions-Section 1.1

Should be able to use just like GeoGebra, but without needing to install it. You can enter functions in the Input line at the bottom of the page. You can zoom in by holding shift key and mouse while hovering at an axis and moving left or right or up or down to change the scale in x or y. The menu icons at the top of the page are also available.
– Kevin Hopkins

2.

Algebra Review

  • 1. Lines
  • 2. Perpendicular and Parallel Lines-Section 2.7-2.8
  • 3. Solving a system of equations-Section 3.1-3.2 in College Alg
  • 4. Algebra of Function
  • 5. Evaluate f(x + h)
  • 6. Work with difference quotient
  • 7. Solving Quadratics by Factoring
  • 8. Working with circles.
  • 9. Solving Linear Inequalities
  • 10. Solving Absolute Value Inequalities
  • 11. Solving Quadratic Inequalities
  • 12. Solving Polynomial Inequalities
  • 13. Solving Rational Inequalities

2.1.

Lines

From points, come up with slope-intercept form of the line equation. Videos about slope intercept form can be found [url]https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/linear-equations-in-slope-intercept-form[/url]
– Kevin Hopkins

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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3.

Trigonometry Review

  • 1. Convert angles in degrees to radians
  • 2. Convert angles in radians to degrees
  • 3. Trig values for standard angles
  • 4. Find Angle from Trig Function Value
  • 5. Appendix D (covered after section 2.3)-Graph of Sin(x)
  • 6. Appendix D (covered after section 2.3)-Graph of Cos(x).
  • 7. Appendix D (covered after section 2.3)-Graph of Tan(x)
  • 8. Function Transformations
  • 9. Solving a Right Triangle

3.1.

Convert angles in degrees to radians

Convert angles in degrees to radians[br][br]For video on this topic see[br][url]https://www.khanacademy.org/math/trigonometry/basic-trigonometry/radians_tutorial/v/radian-and-degree-conversion-practice[/url]
– Kevin Hopkins

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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Information