Solutions to Practice Test Posted below
Chapter 6 – Exponential and Logarithmic Function Section 6.6 – Scientific Notation Section 6.7 – Exponential Functions Solved by Brute Force Section 6.8 – Exponential Functions Solved by Logarithms Section 6.9 – Logarithms with Other Bases Section 6.10 – Properties of Logarithms Section 6.11 – Proofs of Properties of Logarithms Section 6.12 – Inverses of Functions – The Logarithmic Function Section 6.14 – Exponential Functions and Other Functions as Mathematical Models
Chapter 7 – Rational Algebraic Functions Section 7.1 – Introduction to Rational Algebraic Functions Section 7.2 – Rational Function Graphs – Discontinuities and Asymptotes Section 7.3 – Special Products and Factoring Section 7.4 – More Factoring and Graphing Section 7.5 – Long Division of Polynomials Section 7.7 - Products and Quotients of Rational Expressions Section 7.8 – Sums and Differences of Rational Expressions Section 7.10 – Fractional Equations and Extraneous Solutions
Chapter 8 – Irrational Algebraic Functions Section 8.1 – Introduction to Rational Algebraic Functions Section 8.2 – Graphs of Irrational Functions Section 8.3 – Radicals and Simple Radical Form Section 8.4 – Radical Equations
Chapter 9 – Quadratic Relations and Systems Section 9.1 – Introduction to Quadratic Relations Section 9.2 – Circles Section 9.3 - Ellipses Section 9.4 - Hyperbolas Section 9.5 - Parabolas Section 9.6 – Equations from Geometric Definitions
Chapter 12 – Probability Section 12.1 – Introduction to Probability Section 12.2 – Words Associated with Probability Section 12.3 – Two Counting Principles Section 12.4 – Probabilities of Various Permutations Section 12.5 – Probabilities of Various Combination Section 12.6 – Properties of Probabilities
Chapter 7 & 8 Test - Tuesday March 27, 2012 Practice Test and Solutions posted below
Section 7.1 – Introduction to Rational Algebraic Functions - Definition of a rational algebraic function(def. # 74) - Objective: pointwise plotting of the graph of a rational function Section 7.2 – Rational Function Graphs – Discontinuities andAsymptotes - Objective: simplify a rational algebraicfunction, find the discontinuities, and graph it.
Section 7.3 – Special Products and Factoring - Product of Conjugate Binomials (def. # 75) - Products of any polynomials (p.329) - Completely Factored Form (def. #76) o Multiply conjugate binomials o Factor a difference of two squares o Multiply polynomials with more than two terms Section 7.4 – More Factoring and Graphing - Factoring a sum or difference of two cubes (p. 336, def. # 77) - Discriminant test for prime quadratics (p. 337,def. # 79)
Section 7.5 – Long Division of Polynomials - Objective: be able to perform long division on a polynomial, and use the results to factor and graph the polynomial.
Section 7.7 – Products and Quotients of Rational Expressions - Objective: be able to multiply or divide severalrational expressions and simplify the result. - Definition of a simplified rational expression(def. # 80) - Definition of canceling (def. # 81)
Section 7.8 – Addition and Subtration of RationalExpressions - Objective: be able to add or subtract severalrational expressions and simplify the result.
Section 7.10 – Fractional Equations and Extraneous Solutions - Objective: be able to solve fractionalequations.
You can have one 4 x 6 notecard and you may use your calculator. You MUST show your work for full credit especially on problems where you used a calculator. Note – read and review sections 7.1 - 7.5 and 7.7 , 7.8, 7.10, & 8.1 - 8.4 in your textbook especially any sections you are unsure about. Look over all your homework, notes, and warm-up problems. Work the practice test posted below. Solutions are posted also Another great resource is MathXL. Select "STUDY PLAN" and then look at the problems from rational and irrational algebraic functions. Please see me if you have any questions about this material. |

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