Notes for 5.6_Lawson.pdf

Notes for 5.6_Lawson_COMPLETED.pdf

MAT133 Test 2 study guide FA20.pdf

5.2-5.3 Additional Practice.pdf

MAT133 Test 2 study guide FA20 KEY.pdf

Exponential Growth can work FOR or AGAINST you (completed handout with links)

MAT 133 Test 3 (Chap 6) Study Guide)

7.3 Notes (Non-linear systems)_COMPLETED

MAT 133 FINAL STUDY GUIDE SOLUTIONS

I have tried to make these videos correspond to sections in your book and homework.

Review: These topics are found in Ch 1-2 of you book. If you need help with fractions, inequalities, factoring, etc, these may help.

2.2 Solving Linear Equations and Inequalities: 

• Clearing fractions and decimals: https://www.youtube.com/watch?v=cwiPUU6rCD8

 2.7 Absolute Value Equations and Inequalities:

• Full Lesson-Interval notation, inequalities, absolute value equations: https://www.youtube.com/watch?v=tm49BYGw_Sg
• Absolute Value Equations (including variables on both sides): https://www.youtube.com/watch?time_continue=672&v=KUqXnWtiIXE
• Absolute Value Inequalities: https://www.khanacademy.org/math/algebra-home/alg-absolute-value/alg-absolute-value-inequalities/v/absolute-value-inequalities includes links to other examples.

 2.5 Solving Quadratic Equations:

• Factoring-AC-Method:https://www.khanacademy.org/math/algebra/polynomial-factorization/factoring-quadratics-2/v/factoring-trinomials-by-grouping-4
• Solving Quadratics by factoring: https://www.khanacademy.org/math/algebra/quadratics/solving-quadratic-equations-by-factoring/v/example-1-solving-a-quadratic-equation-by-factoring
• Solving Quadratics by Square-root method: https://www.khanacademy.org/math/algebra-home/alg-quadratics/alg-quadratics-square-root/v/solving-quadratic-equations-by-square-roots
• Solving Quadratics by Completing the Square: https://www.khanacademy.org/math/algebra/quadratics/solving-quadratics-by-completing-the-square/v/solving-quadratic-equations-by-completing-the-square

2.6 Solving Rational Equations:

• (with an extraneous solution): https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/solving-rational-equations/v/equations-with-two-rational-expressions
• more complicated examples: https://www.youtube.com/watch?v=6eqgIZyXgK8

1.6, 2.6 Quadratic and Rational Inequalities:

• full lesson: https://www.youtube.com/watch?v=a_n67SHSuhI
• more rational inequality examples, multiple videos: https://www.khanacademy.org/math/algebra-home/alg-rational-expr-eq-func/alg-rational-inequalities/v/rational-inequalities

2.6 Radical Equations:

• list of several video examples: https://www.khanacademy.org/math/algebra2/radical-equations-and-functions/solving-square-root-equations/v/extraneous-solutions-to-radical-equations

Chapter 3: Functions

3.1-3.2 Function Notation, Domain/Range

• 3.2 Interval Notation:https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/introduction-to-interval-notation
• 3.2 Finding Domains and Ranges of Graphs:https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/domain-and-range-from-graphs
• 3.2 Finding Domains and Ranges of Function as an Equation

         Several examples:https://www.youtube.com/watch?v=djT6-YamHaA

         More: https://www.youtube.com/watch?v=pUAv94BH7y4

         Even more: https://www.khanacademy.org/math/algebra-home/alg-functions/alg-domain-of-advanced-functions/v/domain-of-a-function

3.3 Rate of Change and Behavior of Graphs of functions

• Rate of change vidoes: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change/v/introduction-to-average-rate-of-change
• Finding the rate of change of a function on (x, x+h): https://www.youtube.com/watch?v=qQgVomi8lCc

• Mins/Maxs:https://www.khanacademy.org/math/algebra/algebra-functions/maximum-and-minimum-points/v/relative-minima-maxima
• Increasing/Decreasing:https://www.khanacademy.org/math/algebra/algebra-functions/positive-negative-increasing-decreasing-intervals/v/increasing-decreasing-positive-and-negative-intervals
• Symmetry-Graphs:https://www.khanacademy.org/math/algebra2/polynomial-functions/introduction-to-symmetry-of-functions/v/recognizing-odd-and-even-functions
• Symmetry-Identifying equations of functions:https://www.khanacademy.org/math/algebra2/polynomial-functions/symmetry-of-polynomial-functions/v/identifying-even-and-odd-polynomials

3.4-Composition of functions

• https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:composing/v/evaluating-composite-functions
• https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:composing/v/function-composition

3.5-Transformations of functions

• These videos summarize the concepts from class.

                https://www.youtube.com/watch?v=DKe3joYKvlw

                https://www.youtube.com/watch?v=An29CALYjAA