Skip to content
Exam Guides

Test Bank For Precalculus, 11th Edition

Ace your exam with Test Bank For Precalculus, 11th Edition, a comprehensive collection of MCQs, explanations, and tips for effective studying.

Preview 16 of 1069 pages

See the first 16 pages exactly as they appear in the document.

  1. Page 1
    Read page 1 as text

    Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The height of a baseball (in feet) at time t (in seconds) is given by y = - 16 x 2 + 80x + 5. Which one of the following points is not on the graph of the equation? 1) A) (1, 69) B) (4, 69) C) (2, 117) D) (3, 101) Answer: C Explanation: A) B) C) D) Find the slope - intercept form of the equation of the line with the given properties. 2) 2) Slope = 6 ; containing the point ( - 2 , - 7 ) A) y = - 6 x - 5 B) y = 6 x + 5 C) y = 6 x - 5 D) y = - 6 x + 5 Answer: B Explanation: A) B) C) D) Find the midpoint of the line segment joining the points P 1 and P 2 . 3) 3) P 1 = ( 0.5 , - 0.8 ); P 2 = ( 1.3 , - 2.7 ) A) ( 0.9 , - 1.75 ) B) ( - 1.75 , 0.9 ) C) ( - 0.95 , 0.4 ) D) ( 0.4 , - 0.95 ) Answer: A Explanation: A) B) C) D) List the intercepts for the graph of the equation. 4) x 2 + y - 16 = 0 4) A) ( - 4 , 0), (0, - 16 ), ( 4 , 0) B) ( 4 , 0), (0, 16 ) , (0, - 16 ) C) (0, - 4 ), ( 16 , 0), (0, 4 ) D) ( - 4 , 0), (0, 16 ), ( 4 , 0) Answer: D Explanation: A) B) C) D) 1

  2. Page 2
  3. Page 3
    Read page 3 as text

    Find the general form of the equation for the line with the given properties. 5) Slope = 3 4 ; y - intercept = 3 4 5) A) 3 x + 4 y = - 3 B) y = 3 4 x - 3 4 C) 3 x - 4 y = - 3 D) y = 3 4 x + 3 4 Answer: C Explanation: A) B) C) D) List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x - axis, y - axis, origin, or none of these. 6) 6) A) intercept: (0, 2 ) symmetric with respect to origin B) intercept: (0, 2 ) symmetric with respect to y - axis C) intercept: ( 2 , 0) symmetric with respect to x - axis D) intercept: ( 2 , 0) symmetric with respect to y - axis Answer: B Explanation: A) B) C) D) 2

  4. Page 4
    Read page 4 as text

    Solve. 7) 7) Each month a beauty salon gives x manicures for $12.00/manicure. The cost to the owner of the beauty salon for each manicure is $7.35. The monthly fixed cost to maintain a manicure station is $120.00. Write an equation that relates the monthly profit, in dollars, to the number of manicures given each month. Then use the equation to find the monthly profit when 200 manicures are given in a month. A) P = 4.65x - 120; $810 B) P = 4.65x; $930 C) P = 7.35x - 120; $1350 D) P = 12x - 120; $2280 Answer: A Explanation: A) B) C) D) Graph the line containing the point P and having slope m. 8) 8) P = ( - 1 , - 10 ); m = 0 A) B) 3

  5. Page 5
    Read page 5 as text

    C) D) Answer: A Explanation: A) B) C) D) Find an equation for the line, in the indicated form, with the given properties. 9) 9) Containing the points ( - 3 , 9 ) and ( 0 , - 7 ); general form A) 12 x - 7 y = - 49 B) - 16 x - 3 y = 21 C) - 12 x + 7 y = - 49 D) 16 x - 3 y = 21 Answer: B Explanation: A) B) C) D) Determine whether the graph of the equation is symmetric with respect to the x - axis, the y - axis, and/or the origin. 10) y = - 8 x 3 + 3 x 10) A) x - axis B) origin C) y - axis D) x - axis, y - axis, origin E) none Answer: B Explanation: A) B) C) D) E) Graph the equation by plotting points. 4

  6. Page 6
    Read page 6 as text

    11) 11) y = x - 4 A) B) C) D) Answer: A Explanation: A) B) C) D) 5

  7. Page 7
    Read page 7 as text

    List the intercepts and type(s) of symmetry, if any. 12) y 2 = - x + 4 12) A) intercepts: (0, - 4 ), ( 2 , 0), ( - 2 , 0) symmetric with respect to y - axis B) intercepts: ( 4 , 0), (0, 2 ), (0, - 2 ) symmetric with respect to x - axis C) intercepts: (0, 4 ), ( 2 , 0), ( - 2 , 0) symmetric with respect to y - axis D) intercepts: ( - 4 , 0), (0, 2 ), (0, - 2 ) symmetric with respect to x - axis Answer: B Explanation: A) B) C) D) List the intercepts for the graph of the equation. 13) y = x 3 - 8 13) A) (0, - 8 ), ( 2 , 0) B) (0, - 2 ), (0, 2 ) C) ( - 8 , 0), (0, 2 ) D) (0, - 2 ), ( - 2 , 0) Answer: A Explanation: A) B) C) D) Solve. 14) 14) A vendor has learned that, by pricing caramel apples at $ 1.00 , sales will reach 119 caramel apples per day. Raising the price to $ 1.75 will cause the sales to fall to 83 caramel apples per day. Let y be the number of caramel apples the vendor sells at x dollars each. Write a linear equation that relates the number of caramel apples sold per day to the price x. A) y = - 1 48 x + 5711 48 B) y = - 48 x - 167 C) y = - 48 x + 167 D) y = 48 x + 71 Answer: C Explanation: A) B) C) D) Find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 15) 15) P 1 = ( - 3 , - 2 ); P 2 = ( 1 , 4 ) A) 20 B) 2 C) 20 5 D) 2 13 Answer: D Explanation: A) B) C) D) 6

  8. Page 8
    Read page 8 as text

    Determine whether the graph of the equation is symmetric with respect to the x - axis, the y - axis, and/or the origin. 16) 4 x 2 + 9 y 2 = 36 16) A) origin B) y - axis C) x - axis D) x - axis, y - axis, origin E) none Answer: D Explanation: A) B) C) D) E) Solve the problem. 17) 17) If a satellite is placed in a circular orbit of 420 kilometers above the Earth, what is the equation of the path of the satellite if the origin is placed at the center of the Earth (the diameter of the Earth is approximately 12,740 kilometers)? A) x 2 + y 2 = 176,400 B) x 2 + y 2 = 173,185,600 C) x 2 + y 2 = 40,576,900 D) x 2 + y 2 = 46,104,100 Answer: D Explanation: A) B) C) D) Write the equation in slope - intercept form. 18) 18) 6 x + 7 y = 1 A) y = 6 7 x + 1 7 B) y = 7 6 x - 1 6 C) y = 12 7 x + 1 7 D) y = 6 x + 12 Answer: A Explanation: A) B) C) D) 7

  9. Page 9
    Read page 9 as text

    Find the general form of the equation of the the circle. 19) 19) Center at the point ( - 4, - 3); containing the point ( - 3, 3) A) x 2 + y 2 + 6x - 6y - 17 = 0 B) x 2 + y 2 + 6x + 8y - 17 = 0 C) x 2 + y 2 - 6x + 6y - 12 = 0 D) x 2 + y 2 + 8x + 6y - 12 = 0 Answer: D Explanation: A) B) C) D) Determine whether the graph of the equation is symmetric with respect to the x - axis, the y - axis, and/or the origin. 20) y 2 - x - 81 = 0 20) A) origin B) x - axis C) y - axis D) x - axis, y - axis, origin E) none Answer: B Explanation: A) B) C) D) E) Find the slope of the line and sketch its graph. 21) 21) 4 x - 5 y = 2 8

  10. Page 10
    Read page 10 as text

    A) slope = - 5 4 B) slope = 4 5 C) slope = - 4 5 D) slope = 5 4 Answer: B Explanation: A) B) C) D) Find the slope and y - intercept of the line. 22) 22) y = 2 x + 3 A) slope = 2 ; y - intercept = 3 B) slope = 3 ; y - intercept = 2 C) slope = - 2 ; y - intercept = - 3 D) slope = 1 2 ; y - intercept = - 3 Answer: A Explanation: A) B) C) D) 9

  11. Page 11
    Read page 11 as text

    Identify the points in the graph for the ordered pairs. 23) 23) ( - 3, 4), (2, 0), (4, - 5) A) A, B, and F B) B, C, and L C) F, K, and L D) B, F, and L Answer: D Explanation: A) B) C) D) Solve the problem. 24) 24) A wildlife researcher is monitoring a black bear that has a radio telemetry collar with a transmitting range of 30 miles. The researcher is in a research station with her receiver and tracking the bear's movements. If we put the origin of a coordinate system at the research station, what is the equation of all possible locations of the bear where the transmitter would be at its maximum range? A) x 2 + y 2 = 30 B) x 2 - y 2 = 30 C) x 2 + y 2 = 900 D) x 2 + y 2 = 60 Answer: C Explanation: A) B) C) D) 10

  12. Page 12
    Read page 12 as text

    Find the slope of the line through the points and interpret the slope. 25) 25) A) - 2 ; for every 1 - unit increase in x, y will decrease by 2 units B) - 1 2 ; for every 2 - unit increase in x, y will decrease by 1 unit C) 1 2 ; for every 2 - unit increase in x, y will increase by 1 unit D) 2 ; for every 1 - unit increase in x, y will increase by 2 units Answer: C Explanation: A) B) C) D) Determine whether the graph of the equation is symmetric with respect to the x - axis, the y - axis, and/or the origin. 26) 26) y = (x - 8 )(x - 5 ) A) x - axis B) origin C) y - axis D) x - axis, y - axis, origin E) none Answer: E Explanation: A) B) C) D) E) 11

  13. Page 13
    Read page 13 as text

    Solve the problem. 27) 27) If ( - 2 , - 2 ) is the endpoint of a line segment, and ( - 1 , 1 ) is its midpoint, find the other endpoint. A) ( 4 , 0 ) B) ( 0 , - 5 ) C) ( - 4 , - 8 ) D) ( 0 , 4 ) Answer: D Explanation: A) B) C) D) Plot the point in the xy - plane. Tell in which quadrant or on what axis the point lies. 28) 28) ( 2 , - 6 ) A) Quadrant II B) Quadrant I C) Quadrant IV D) Quadrant III 12

  14. Page 14
    Read page 14 as text

    Answer: C Explanation: A) B) C) D) List the intercepts for the graph of the equation. 29) 4 x 2 + 9 y 2 = 36 29) A) ( - 4 , 0), ( - 9 , 0), ( 9 , 0), ( 4 , 0) B) ( - 9 , 0), (0, - 4 ), (0, 4 ), ( 9 , 0) C) ( - 2 , 0), ( - 3 , 0), ( 3 , 0), ( 2 , 0) D) ( - 3 , 0), (0, - 2 ), (0, 2 ), ( 3 , 0) Answer: D Explanation: A) B) C) D) Find the slope - intercept form of the equation of the line with the given properties. 30) Horizontal; containing the point - 1 2 , 2 30) A) y = 0 B) y = - 1 2 C) y = - 2 D) y = 2 Answer: D Explanation: A) B) C) D) Graph the circle with radius r and center (h, k). 31) 31) r = 4 ; (h, k) = ( - 1 , 3 ) 13

  15. Page 15
    Read page 15 as text

    A) B) C) D) Answer: B Explanation: A) B) C) D) Graph the line containing the point P and having slope m. 32) 32) P = ( 5 , 0); m = - 1 14

  16. Page 16
    Read page 16 as text

    A) B) C) D) Answer: B Explanation: A) B) C) D) 15

1053 more pages in the full document

Unlock it once and it stays in your library, ready to chat with or turn into flashcards.

Unlock the full document

More Mathematics study materials

See all

Study this document with CramX

Once it is in your library, every tool can work from it.