Practice Exam Answers

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1
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Which expression represents the volume of the prism?

A
x times open paren x plus 1 close paren cubic units
B
x squared times open paren x minus 2 close paren cubic units
C
x times open paren x minus 2 close paren cubic units
D
x squared times open paren x plus 1 close paren cubic units
2
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The measure of central XYZ angle is 3⁢π4 radians. What is the area of the shaded sector?

A
32 pi units squared
B
96 pi units squared
C
256 pi units squared
D
85 pi units squared
3

Which statements are true? Choose three correct answers.

A
cap p times open paren the intersection of cap c and cap f close paren is equal to cap p times open paren the intersection of cap f and cap c close paren
B
cap p times open paren cap f divides cap c close paren is equal to 0 point 7 5
C
cap p times open paren cap c divides cap f close paren is equal to cap p times open paren cap f divides cap c close paren
D
cap p times open paren the intersection of cap c and cap f close paren is equal to 0 point 0 9
E
cap p times open paren cap c divides cap f close paren is equal to 0 point 2 5
6

What is the length of line segment TV ?

A
3 units
B
2 and 1 half units
C
1 unit
D
1 and 2 thirds units
7

What is the volume of the pyramid?

A
16 cm cubed
B
12 cm cubed
C
32 cm cubed
D
48 cm cubed
9

What square footage of artificial grass is needed to cover this portion of the course?

A
8 pi plus 180
B
16 pi plus 180
C
8 pi plus 228
D
16 pi plus 288
15

For which value of theta is cotangent of theta undefined?

A
90 degrees
B
270 degrees
C
180 degrees
D
450 degrees
18

Which equation represents the general form a circle with a center at negative 2 comma negative 3 and a diameter of 8 units?

A
x squared plus y squared minus 4 x minus 6 y minus 3 is equal to 0
B
x squared plus y squared plus 4 x plus 6 y minus 51 is equal to 0
C
x squared plus y squared minus 4 x minus 6 y minus 51 is equal to 0
D
x squared plus y squared plus 4 x plus 6 y minus 3 is equal to 0
20

One focus of a hyperbola is located at (−1, 7). One vertex of the hyperbola is located at (−1, 5). The center is (−1,−3). What is the equation of the hyperbola?

A
the fraction with numerator open paren y minus 3 close paren squared and denominator 64 minus the fraction with numerator open paren x minus 1 close paren squared and denominator 36 is equal to 1
B
the fraction with numerator open paren y plus 1 close paren squared and denominator 64 minus the fraction with numerator open paren x plus 3 close paren squared and denominator 36 is equal to 1
C
the fraction with numerator open paren y plus 3 close paren squared and denominator 64 minus the fraction with numerator open paren x plus 1 close paren squared and denominator 36 is equal to 1
D
the fraction with numerator open paren y minus 1 close paren squared and denominator 64 minus the fraction with numerator open paren x minus 3 close paren squared and denominator 36 is equal to 1
21

Which concept can be used to prove that the diagonals of a parallelogram bisect each other?

A
similar rectangles
B
congruent rectangles
C
similar triangles
D
congruent triangles

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