AnswersApplications and ModelingTopic Test

Topic Test Answers

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Solve the following equation algebraically: a. b. c. d. Please select the best answer from the choices provided

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D
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Solve equation by using the quadratic formula. a. c. b. d. Please select the best answer from the choices provided

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A
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B
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D
3

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.

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D: all real numbers R:
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D: all real numbers R: all real numbers
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D: all real numbers R:
D
D: all real numbers R:
4

Solve the following equation by first writing the equation in the form : a. b. c. d. Please select the best answer from the choices provided

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A
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B
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D
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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:

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6

Grace is planning a move to a different city. She contacts two local rental companies and obtains the following information for the one-day cost of renting a truck: Company A: $40.95 per day plus $0.19 per mile Company B: $19.95 per day plus $0.49 per mile Let n represent the total number of miles driven in one day. Write an inequality that can be used to determine for what number of miles it is less expensive to rent the truck from Company B. a. b. c. d. Please select the best answer from the choices provided

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7

Make a scatter plot of the data below. x y 25 150 50 178 75 216 100 265 125 323 150 392 175 470.4 Using the quadratic regression equation predict what the y-value will be if the x-value is 200.

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y = 83.5
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y = 346.9
C
y = 238.1
D
y = 555.5
8

Grace is planning a move to a different city. She contacts two local rental companies and obtains the following information for the one-day cost of renting a truck: Company A: $40.95 per day plus $0.19 per mile Company B: $19.95 per day plus $0.49 per mile Let n represent the total number of miles driven in one day. Write an inequality that can be used to determine for what number of miles it is less expensive to rent the truck from Company B. a. b. c. d. Please select the best answer from the choices provided

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A
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B
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C
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D
9

The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. x 0 1 2 3 4 5 y 2.82 3.29 3.46 3.33 2.88 2.24 a. c. b. d. Please select the best answer from the choices provided

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10

Solve equation by using the quadratic formula. a. c. b. d. Please select the best answer from the choices provided

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A
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B
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C
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D
11

Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth.

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x = -1.1 or x = -1
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x = 1.12 or x = -0.82
C
x = 5 or x = -5
D
x = 1 or x = -1
12

From the equation, find the axis of symmetry of the parabola. a. c. b. d. Please select the best answer from the choices provided

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D
13

Solve the quadratic equation numerically (using tables of x- and y- values).

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x = -1
B
x = 1 or x = -3
C
x = -3
D
x = 2 or x = -1
14

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 1 7 0 up (0,0) Table B a b c up or down y-intercept 7 1 0 up (0,0) Table C a b c up or down y-intercept 7 1 0 down (0,0) Table D a b c up or down y-intercept 1 7 0 down (0,0)

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Table A
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Table B
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Table C
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Table D
15

Solve the quadratic equation numerically (using tables of x- and y- values).x(x + 3) = 0

A
x = -1 or x = 3
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x = 0 or x = -5
C
x = 0 or x = -3
D
x =1 or x = -1
16

Predict what the graph of the following quadratic function will look like. (If you have a graphing calculator, you can use it to verify your prediction.)

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A
-shaped; y-intercept (0, 6); symmetrical with respect to the y-axis
B
-shaped; y-intercept (0, 6); symmetrical with respect to the y-axis
C
-shaped; y-intercept (6, 0); assymmetrical with respect to the y-axis
D
-shaped; y-intercept (0, 6); assymmetrical with respect to the y-axis
17

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

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(0.5, -5.75)
B
(-0.5, 5.75)
C
(-0.5, 6)
D
(0.5, 5.75)
18

Solve the following inequality using both the graphical and algebraic approach: Graph A Graph B

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Graph A
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Graph A
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Graph B
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Graph B
19

Solve equation by using the quadratic formula. a. c. b. d. Please select the best answer from the choices provided

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A
B
B
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C
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D

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