Topic Test Answers

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21
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Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range.

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A
D: all real numbers R:
B
D: all real numbers R:
C
D: R: all real numbers
D
D: all real numbers R:
22
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Solve the following equation algebraically: How many solutions does this equation have? Explain.

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A
; One solution because only -1 will satisfy the equation.
B
; No real solution because there is no real number that, when squared, produces -1.
C
; Two solutions because the square root of 1 is positive 1 and negative 1.
D
; One solution because only -1 will satisfy the equation.
23

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

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A
x = -3 or x = -2
B
x = 2 or x = -3
C
x = -3 or x = -3
D
x = 6 or x = -1
26

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

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A
( 1.75, -2.125)
B
( 1.75, 4)
C
( 1.75, 10.125)
D
( -1.75, 10.125)
27

Solve the following inequality algebraically: 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
28

Sketch the graph of using your graphing calculator. What are the x-intercepts of this graph?

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A
(2, 0) and (-7, 0)
B
(2, 0) and (-2, 0)
C
There are no x-intercepts
D
(9, 0) and (-2, 0)
30

Which inequality below models the following situation? You want to spend less than $20 grapes and bananas. Grapes are $3.00 per pound and bananas are $.50 per pound. Let a represent the weight of the grapes and b represent the weight of the bananas. a. b. c. 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
31

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 1.30 1.34 1.38 2.20 2.88 2.24 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
32

Translate the given statement into an algebraic inequality or compound inequality: To avoid an additional charge, the sum of the length, l, width, w, and depth, d, of a piece of luggage to be checked on a commercial airline can be at most 61 inches. 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
33

Graph the function. y = a. c. b. 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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