Name: Class: Date: Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.

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1 Class: Date: Ch 9a On-Line Test Multiple Choice Identif the letter of the choice that best completes the statement or answers the question. 1. Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, write a function to model it. x direct variation; = 14x inverse variation; = 04 neither x x inverse variation; = 8 x direct variation; = 1 8 x neither. Suppose that x and var inversel and that = 1 when x =. Write a function that models the inverse 6 variation and find when x =. = 1 2x ; 1 20 = 1 6x ; 1 6 = 1 6x ; 1 = x ; A drama club is planning a bus trip to New York Cit to see a Broadwa pla. The cost per person for the bus rental varies inversel as the number of people going on the trip. It will cost $0 per person if 44 people go on the trip. How much will it cost per person if 60 people go on the trip? Round our answer to the nearest cent, if necessar. $22.00 $40.91 $1,20.00 $

2 Graph the function.. = 2 x x x x x 2

3 6. 6x = 1 x x x x

4 Sketch the asmptotes and graph the function. 7. = 2 x + 2 x x x x 4

5 8. = x 2 7x + 12 x 2 1 x x x x 9. Write an equation for the translation of = 4 x that has the asmptotes x = 7 and = 6. = = 4 x = 4 x x = 4 x Find an points of discontinuit for the rational function.. = x 8 x 2 + 6x 7 x = 1, x = 7 x = 1, x = 7 x = 8 x = 1, x = 7

6 11. Describe the vertical asmptote(s) and hole(s) for the graph of = asmptote: x = 4 and hole: x = 2 asmptotes: x = 4 and x = 2 asmptote: x = and hole: x = 4 asmptote: x = 4 and hole: x = Find the horizontal asmptote of the graph of = 6x 2 + x + 9 7x 2 x + 9. (x )(x 2) (x 2)(x + 4). = 6 7 = 1 = 0 no horizontal asmptote Simplif the rational expression. State an restrictions on the variable p 2 4p 2 p + 4 p + 8; p 4 p 8; p 4 p 8; p 4 p + 8; p 4 q q + 24 q 2 q 24 q + 8 q 8 ; q, q 8 q + 8 q 8 ; q, q 8 (q + 8) q 8 ; q 8 (q + 8) q 8 ; q, q 8 Multipl or divide. State an restrictions on the variables a 7b 4 2b 2 2a 4 4a 9 2 7b, a 0, b 0 7b 6 4a, a 0, b 0 4a 7b, a 0, b a 9 b 6, a 0, b 0 z 2 z + 1 z 2 + z + 2 z 2 + z z 2 + 2z z +, z 1, z + 2 z +, z 1, z + 2 z +, z 1, 0, z 2 + 2z, z 1, 0, z + 6

7 17. x 2 16 x 2 + x + 6 x 2 + x + 4 x 2 2x 8 (x 4) 2 (x + )(x + 1) ; x, 1 (x + 4) 2 (x + 1) ; x, 2, 4 (x + 2) 2 (x + ) (x 4) 2 ; x 4,, 2, 1, 4 (x + )(x + 1) 1 ; x 4,, 2, 1, 4 (x + )(x + 1) 18. Find the least common multiple of x x 2 + x 1 and x 2 1. Write the answer in factored form. (x + 1) 2 (x 1) (x x 2 + x 1)(x 2 1) (x + 1)(x 1)(x 2 + 1) (x + 1)(x 1)(x 2 1) Add or subtract. Simplif if possible m+ + 8 m (m )(m+ ) 11 m 2 + m 20 w 2 + 2w 24 w 2 + w w w 4 w w 2 + 2w 16 w 2 + w 0 Simplif the complex fraction. m 7 (m )(m+ ) m+ 2 (m )(m+ ) w + 4 w + 4 w

8 Ch 9a On-Line Test Answer Section MULTIPLE CHOICE 1. ANS: A DIF: L1 REF: 9-1 Inverse Variation 2. ANS: C DIF: L1 REF: 9-1 Inverse Variation. ANS: A DIF: L1 REF: 9-1 Inverse Variation 4. ANS: A DIF: L1 REF: 9-1 Inverse Variation. ANS: B DIF: L1 REF: 9-2 Graphing Inverse Variations 6. ANS: C DIF: L2 REF: 9-2 Graphing Inverse Variations 7. ANS: C DIF: L1 REF: 9-2 Graphing Inverse Variations 8. ANS: B DIF: L2 REF: 9- Rational Functions and Their Graphs 9. ANS: C DIF: L1 REF: 9-2 Graphing Inverse Variations. ANS: C DIF: L1 REF: 9- Rational Functions and Their Graphs 11. ANS: A DIF: L1 REF: 9- Rational Functions and Their Graphs 12. ANS: A DIF: L1 REF: 9- Rational Functions and Their Graphs 1. ANS: B DIF: L1 REF: 9-4 Rational Expressions 14. ANS: C DIF: L1 REF: 9-4 Rational Expressions 1. ANS: B DIF: L1 REF: 9-4 Rational Expressions 16. ANS: D DIF: L1 REF: 9-4 Rational Expressions 17. ANS: C DIF: L2 REF: 9-4 Rational Expressions 18. ANS: B DIF: L2 REF: 9- Adding and Subtracting Rational Expressions 19. ANS: C DIF: L1 REF: 9- Adding and Subtracting Rational Expressions 20. ANS: D DIF: L1 REF: 9- Adding and Subtracting Rational Expressions 21. ANS: B DIF: L1 REF: 9- Adding and Subtracting Rational Expressions 1