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Precalculus , 5th Edition Test Bank

Precalculus , 5th Edition Test Bank makes studying easier with a breakdown of core topics, solved examples, and revision tips.

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    Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Match the story with the correct figure. 1) Mark started out by walking up a hill for 5 minutes. For the next 5 minutes he walked down a steep hill to an elevation lower than his starting point. For the next 10 minutes he walked on level ground. For the next 10 minutes he walked uphill. Determine which graph of elevation above sea level versus time illustrates the story. 1) A) B) C) D) Answer: D Explanation: A) B) C) D) 1

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    Match the graph with its function using the x - intercepts. 2) 2) A) y = x 4 - 5 x 2 + 4 B) y = x 4 + 5 x 2 + 4 C) y = x 4 + 5 x 2 - 4 D) y = x 4 - 5 x 2 - 4 Answer: A Explanation: A) B) C) D) 3) 3) A) y = x 4 + 25 x 2 + 144 B) y = x 4 + 25 x 2 - 12 C) y = x 4 - 25 x 2 + 144 D) y = x 4 - 25 x 2 + 12 Answer: C Explanation: A) B) C) D) 2

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    4) 4) A) y = x 1/3 - 3 x 1/6 - 4 B) y = x 1/3 + 3 x 1/6 - 4 C) y = x 1/3 - 3 x 1/6 + 4 D) y = x 1/3 + 3 x 1/6 + 4 Answer: B Explanation: A) B) C) D) Match the correct viewing rectangle dimensions with the figure. 5) 5) A) [ - 50 , 25 , 5 ] by [ - 50 , 25 , 5 ] B) [ - 25 , 25 , 10 ] by [ - 25 , 25 , 10 ] C) [ - 5 , 5 , 5 ] by [ - 5 , 5 , 5 ] D) [ - 25 , 25 , 5 ] by [ - 25 , 25 , 5 ] Answer: D Explanation: A) B) C) D) 3

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    Match the story with the correct figure. 6) The amount of rainfall as a function of time, if the rain fell more and more softly. 6) A) B) C) D) Answer: C Explanation: A) B) C) D) 4

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    Match the graph with its function using the x - intercepts. 7) 7) A) y = x - 2 - 2 x - 1 - 3 B) y = x - 2 + 2 x - 1 - 3 C) y = x - 2 + 2 x - 1 + 3 D) y = x - 2 - 2 x - 1 + 3 Answer: B Explanation: A) B) C) D) 8) 8) A) y = (x + 2 ) 2 - 5 (x + 2 ) + 4 B) y = (x + 2 ) 2 + 9 (x + 2 ) + 18 C) y = (x + 2 ) 2 - 9 (x + 2 ) + 18 D) y = (x + 2 ) 2 + 5 (x + 2 ) + 4 Answer: D Explanation: A) B) C) D) 5

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    9) 9) A) y = x - 2 - x - 1 - 2 B) y = x - 2 + x - 1 - 2 C) y = x - 2 - x - 1 + 2 D) y = x - 2 + x - 1 + 2 Answer: A Explanation: A) B) C) D) The table of values was generated by a graphing utility with a TABLE feature. Use the following table to solve. 10) Which equation corresponds to Y 2 in the table? 10) A) y 2 = 3 - 2 x B) y 2 = x + 3 C) y 2 = 2x + 3 D) y 2 = 3 x - 2 Answer: C Explanation: A) B) C) D) 6

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    Match the correct viewing rectangle dimensions with the figure. 11) 11) A) [ - 4 , 4 , 2 ] by [ - 4 , 4 , 2 ] B) [ - 20 , 20 , 2 ] by [ - 20 , 20 , 2 ] C) [ - 16 , 16 , 4 ] by [ - 4 , 4 , 2 ] D) [ - 4 , 4 , 2 ] by [ - 80 , 80 , 8 ] Answer: D Explanation: A) B) C) D) 12) 12) A) [ - 1 , 8 , 1 ] by [ - 1 , 8 , 1 ] B) [ - 4 , 5 , 1 ] by [ - 1 , 8 , 1 ] C) [ - 1 , 8 , 1 ] by [ - 4 , 5 , 1 ] D) [ - 10 , 5 , 1 ] by [ - 10 , 5 , 1 ] Answer: C Explanation: A) B) C) D) 7

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    Match the graph with its function using the x - intercepts. 13) 13) A) y = x 4 - 2 x 2 - 1 B) y = x 4 + 2 x 2 - 1 C) y = x 4 - 2 x 2 + 1 D) y = x 4 + 2 x 2 + 1 Answer: C Explanation: A) B) C) D) 14) 14) A) y = 2(x - 3 ) 2 + 3 (x - 3 ) - 5 B) y = 2(x + 3 ) 2 + 3 (x + 3 ) - 5 C) y = 2(x + 3 ) 2 - 3 (x + 3 ) - 5 D) y = 2(x - 3 ) 2 - 3 (x - 3 ) - 5 Answer: D Explanation: A) B) C) D) 8

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    15) 15) A) y = x 1/2 + 2 x 1/4 - 1 B) y = x 1/2 + 15 x 1/4 - 16 C) y = x 1/2 - 15 x 1/4 - 16 D) y = x 1/2 + 2 x 1/4 + 1 Answer: B Explanation: A) B) C) D) 9

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    Match the story with the correct figure. 16) The height of an animal as a function of time. 16) A) B) C) D) Answer: D Explanation: A) B) C) D) 10

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    Match the graph with its function using the x - intercepts. 17) 17) A) y = 6 x - 2 - 5 x - 1 - 1 B) y = 6 x - 2 - 5 x - 1 + 1 C) y = 6 x - 2 + 5 x - 1 + 1 D) y = 6 x - 2 + 5 x - 1 - 1 Answer: A Explanation: A) B) C) D) Match the correct viewing rectangle dimensions with the figure. 18) 18) A) [ - 1 , 8 , 1 ] by [ - 1 , 8 , 1 ] B) [ - 10 , 5 , 1 ] by [ - 10 , 5 , 1 ] C) [ - 10 , 30 , 10 ] by [ - 400 , 500 , 100 ] D) [ - 1 , 5 , 1 ] by [ - 4 , 8 , 1 ] Answer: C Explanation: A) B) C) D) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 19) Solve the formula r = 2A Ό for Ό . 19) Answer: Ό = 2A r 2 Explanation: 11

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    20) Solve the formula r = 3V Δ h for V. 20) Answer: V = Δ r 2 h 3 Explanation: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the x - intercept(s) of the graph of the equation. Graph the equation. 21) y = x 2 - 6 x + 9 21) A) x - intercept: 18 B) x - intercept: 3 C) x - intercept: none D) x - intercept: - 3 Answer: B Explanation: A) B) C) D) 12

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    D) Determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 22) 7 x + 2 7 + 6 7 = - 5 x 3 22) A) Identity B) Conditional equation C) Inconsistent equation Answer: B Explanation: A) B) C) Plot the given point in a rectangular coordinate system. 23) ( 5 , 0) 23) A) B) C) D) Answer: B Explanation: A) B) C) 13

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    C) D) Solve the equation by factoring. 24) - 6x - 2 = (3x + 1) 2 24) A) - 1 3 B) - 1, - 1 3 C) 1 3 , 1 D) + Answer: B Explanation: A) B) C) D) Solve the equation by completing the square. 25) x 2 + 8 x - 3 = 0 25) A) { - 4 - 19 , - 4 + 19 } B) { - 1 - 19 , - 1 + 19 } C) { 4 + 19 } D) { - 4 - 1 19 , - 4 + 1 19 } Answer: A Explanation: A) B) C) D) Solve the equation. 26) x 2x + 2 = - 2x 4x + 4 + 2x - 3 x + 1 26) A) - 12 5 B) { - 3} C) 3 2 D) {3} Answer: D Explanation: A) B) C) D) Solve the problem. 27) The formula N = 2 x 2 + 4 x + 1 represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 49 thousand households with computers in this city? 27) A) 1993 B) 1992 C) 1995 D) 1994 Answer: D Explanation: A) B) C) D) 14

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    Perform the indicated operations and write the result in standard form. 28) ( 8 + 9 i)( 4 - i) - ( 1 - i)( 1 + i) 28) A) 39 + 44 i B) 39 + 28 i C) 41 + 28 i D) 43 + 28 i Answer: B Explanation: A) B) C) D) Solve the equation by factoring. 29) 12 x 2 - 7 x = 0 29) A) 0, 7 12 B) - 7 12 , 0 C) 7 12 , - 7 12 D) {0} Answer: A Explanation: A) B) C) D) Graph the equation. 30) y = 5 |x| 30) A) B) 15

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