Practice Exam Answers

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24

The vertices of a triangle are given in the columns of the matrix cap t is equal to the 2 by 3 matrix row 1, 0 4 0 row 2, 0 0 5 If the 2 by 2 matrix, row 1, column 1, negative 1 column 2, 0 row 2, column 1, 0 column 2, negative 1 times cap t is found to perform a transformation, what are the coordinates of the transformed triangle?

A
open paren 0 comma 0 close paren comma open paren negative 4 comma 0 close paren comma open paren 0 comma 5 close paren
B
(0, 0), (4, 0), (0,−5).
C
open paren 0 comma 0 close paren comma open paren negative 4 comma 0 close paren comma open paren 0 comma negative 5 close paren
D
(0, 0), (4, 0), (0, 5).
25

The formula for the volume of a pyramid is cap v is equal to 1 third cap b h Which of the following equations is equivalent to the given formula?

A
cap b is equal to the fraction with numerator cap v minus 1 third and denominator h
B
cap b is equal to the fraction with numerator cap v plus 1 third and denominator h
C
cap b is equal to 3 h over cap v
D
cap b is equal to 3 cap v over h
26

What are the solutions of the equation open paren x plus 2 close paren squared minus 2 times open paren x plus 2 close paren minus 15 is equal to 0 ? Use u substitution to solve.

A
x is equal to negative 3 and x is equal to 5
B
x is equal to negative 7 and x is equal to 1
C
x is equal to negative 1 and x is equal to 7
D
x is equal to negative 5 and x is equal to 3
27

The first term of a geometric sequence is negative 2 and the common ratio is negative 1 fourth What are the next three terms of the sequence?

A
negative 1 half comma 1 eighth comma negative 1 over 32
B
negative 1 half comma negative 1 eighth comma negative 1 over 32
C
1 half comma negative 1 eighth comma 1 over 32
D
1 half comma 1 eighth comma 1 over 32
28

Which of the following is an odd function?

A
g of x is equal to 3
B
g of x is equal to 5 x minus 1
C
g of x is equal to x squared
D
g of x is equal to 4 x
29

What are the values of x and y in the matrix equation? the 2 by 1 column matrix row 1 x plus 4 row 2 y squared plus 1 plus the 2 by 1 column matrix row 1 negative 9 x row 2 negative 17 is equal to the 2 by 1 column matrix 28 0

A
x is equal to negative 3 y is equal to plus 4 comma negative 4
B
x is equal to negative 3 y is equal to 4
C
x is equal to 3 y is equal to plus 4 comma negative 4
D
x is equal to 3 y is equal to plus 8 comma negative 8
32

If f of x is equal to square root of 4 x plus 9 end root plus 2 , which inequality can be used to find the domain of f of x ?

A
4 x plus 9 is greater than or equal to 0
B
square root of 4 x plus 9 end root plus 2 is greater than or equal to 0
C
4 x is greater than or equal to 0
D
square root of 4 x is greater than or equal to 0
33

The domain of u times x is the set of all real values except 0 and the domain of v times x is the set of all real values except 2 What are the restrictions on the domain of open paren u circ v close paren times x ?

A
u times x is not equal to 2 and v times x is not equal to 0
B
u times x is not equal to 0 and v times x is not equal to 2
C
x is not equal to 2 and x cannot be any value for which v times x is equal to 0
D
x is not equal to 0 and x cannot be any value for which u times x is equal to 2
35

What is the factored form of 64 g cubed plus 8 ?

A
open paren 4 g plus 2 close paren times open paren 16 g squared plus 8 g minus 4 close paren
B
open paren 4 g plus 2 close paren times open paren 16 g squared plus 8 g plus 4 close paren
C
open paren 4 g plus 2 close paren times open paren 16 g squared minus 8 g minus 4 close paren
D
open paren 4 g plus 2 close paren times open paren 16 g squared minus 8 g plus 4 close paren
36

Which system of equations is consistent and dependent?

A
2 x plus 3 y is equal to negative 6 2 x plus 3 y is equal to negative 12
B
4 x plus 6 y is equal to 2 4 x plus 6 y is equal to 1
C
5 x plus 4 y is equal to negative 30 3 x minus 9 y is equal to negative 18
D
3 x plus 2 y is equal to 3 6 x plus 4 y is equal to 6
37

Which equation represents a graph with a vertex at open paren 1 comma negative 6 close paren ?

A
y is equal to 3 x squared plus 6 x minus 3
B
y is equal to 3 x squared minus 6 x minus 3
C
y is equal to 3 x squared minus 8 x minus 1
D
y is equal to 3 x squared minus 3 x minus 6
38

A polynomial function has a root of negative 7 with multiplicity 2 , a root of negative 1 with multiplicity 1 , a root of 2 with multiplicity 4 , and a root of 4 with multiplicity 1 If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

A
The graph of the function is negative on open paren negative 7 comma negative 1 close paren .
B
The graph of the function is positive on open paren negative infinity comma negative 7 close paren .
C
The graph of the function is positive on open paren 2 comma 4 close paren .
D
The graph of the function is negative on open paren 4 comma infinity close paren .
39

If g of x and f of x are inverse functions, which graph represents g of x ?

A
Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 6 to 6 in increments of 1. A curve starts at the origin and extends to the left. The curve passes through approximately (negative 1 comma negative 1) and (negative 4 comma negative 2). The curve rises as x increases toward 0 and becomes steeper near the origin.
B
Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 6 to 6 in increments of 1. A curve starts at the origin and extends to the left. The curve passes through approximately (negative 1 comma 1) and (negative 4 comma 2). The curve falls as x increases toward 0 and becomes steeper near the origin.
C
Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 6 to 6 in increments of 1. A curve begins at the origin and extends to the right. The curve passes through approximately (1 comma 1) and (2 comma 4). The curve rises as x increases and becomes steeper to the right.
D
Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 6 to 6 in increments of 1. A curve begins at the origin and extends to the right. The curve passes through approximately (1 comma 0) and (4 comma 2). The curve rises as x increases and becomes steeper to the right.

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