Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 2b – Functions and Function Operations Practice Problems 9. BoJim and Sariloo are organizing the 20 year reunion for their high school. The high school alumni association has given them $1000 for the event. They talk to the local caterer and find out the following: It will cost $15 per person plus a $50 setup fee to provide food for the event. It will cost $3 per person plus a $80 setup fee to rent the Meeting Hall at the local Holiday Motel. To help determine the costs, they come up with the following functions: The cost for food is $50 + $15 per person. F(x) = 15x + 50 The cost for the Hall is $80 + $3 per person H(x) = 3x + 80 In addition, they decide to charge each person $5 to get in the door. This can be modeled by the following function: Income for the event is $1000 from the alumni + $5 per person. I(x) = 5x + 1000 Given this information, answer the following questions. Show how you use the functions to calculate the answers. And give your final answers in complete sentences. If 400 people attend the event: a) How much will it cost for food? b) How much will it cost to rent the Meeting Hall? c) How much will it cost for food AND to rent the Meeting Hall? Show how you use the functions to calculate this. Hint: (F+H)(400) d) The final bill for the event is found by subtracting the costs from the income. What would the final bill for the event be? e) Challenge question. How many people can attend if the costs have to equal the income? Scottsdale Community College Page 92 Intermediate Algebra
Name: _____________________ Date: ________________ Lesson 2b Assessment 1. If possible, simplify each of the following by combining like terms or using properties of exponents. a) 2n 5 + 3n 5 = _______________ b) 2n 5 * 3n 5 = _______________ c) 3n 3 + 3n 5 = _______________ d) 3n 3 * 3n 5 = _______________ 2. The functions A and B are defined by the following tables x -3 -2 0 1 4 5 8 10 12 A(x) 8 6 3 2 5 8 11 15 20 x 0 2 3 4 5 8 9 11 15 B(x) 1 3 5 10 4 2 0 -2 -5 Determine the values for each of the following. a) B(3)=_________ b) A(8)=_________ c) A(0)+B(0)=_______ d) A(8) – B(8)=_________ e) A(4) * B(4)=_________ f) A(5) =________ B(5) 3. Let p(x) = x 2 + 2x + 3 and r(x) = x – 5 . Determine each of the following. Show all work. Box your answers. a) p(x) – r(x)= b) p(0) * r(0)= c) p(-2) + r(-2)= d) r(7) – p(7)= Scottsdale Community College Page 93 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 1b - Linear Equations In the
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Lesson 1b - Linear Equations Mini-L
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Lesson 4b - More on Logarithms This
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Lesson 5a - Introduction to Quadrat
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Lesson 5b - Solving Quadratic Equat
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Lesson 6b - Rational Exponents and
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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