Practice Exam Answers

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3

What steps should be taken to calculate the volume of the prism? Choose three correct answers.

A
Use the formula cap A is equal to 1 half b h to find the area of the base.
B
The volume of the prism, cap v , is 114 times 6 is equal to 684 ft cubed .
C
Use the formula cap A is equal to b h to find the area of the base.
D
The volume of the prism, cap v , is 228 times 6 is equal to 1 comma 368 ft cubed .
E
Use the formula cap v is equal to cap b h to find the volume of the prism.
4

What is the value of x ?

A
22 degrees
B
158 degrees
C
79 degrees
D
136 degrees
5

Which statement best describes the two pyramids?

A
Both pyramids have the same total surface area, but the areas of the lateral faces and the areas of the bases are different in each pyramid.
B
Both pyramids have the same total surface area, and the areas of the lateral faces and the areas of the bases are the same in each pyramid.
C
Ryan’s pyramid has a greater surface area.
D
Scott’s pyramid has a greater surface area.
7

If m angle A is 155° , what is m angle c ?

A
155 degrees
B
180 degrees
C
25 degrees
D
35 degrees
8

Which inequalities are equivalent to n plus 15 is less than 22 ? Choose three correct answers.

A
n plus 15 is less than 22 minus 15
B
n plus 15 minus 15 is less than 22 minus 15
C
n plus 15 minus 22 is less than 22 minus 22
D
n plus 15 plus 6 is less than 22 plus 6
E
n plus 15 minus 22 is less than 22
9

A high school coach needs to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than 200 dollars and needs to determine how much he can spend per pair of shorts. Write and solve an inequality to determine the maximum price for each pair of shorts. What does the solution represent?

A
The coach may spend up to 14 dollars per pair of shorts.
B
The coach may spend up to 13 point 3 3 dollars per pair of shorts.
C
The coach may spend more than 14 dollars per pair of shorts.
D
The coach may spend more than 13 point 3 3 dollars per pair of shorts.
11

Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smaller circles with a diameter one-half that of the large circle. Which statements about the areas are true? Choose three correct answers.

A
The area of one small circle is 4 pi .
B
The area of the large circle is 16 pi .
C
The area of one small circle will be one-half of the area of the large circle.
D
The total area of the two small circles will equal that of the large circle.
E
The total area of the two small circles will be one-half of the area of the large circle.
12

Which expressions are equivalent to 5 x minus 15 ? Choose three correct answers.

A
negative 20 minus 3 x plus 5 plus 8 x
B
5 times open paren x minus 3 close paren
C
4 x plus 3 y minus 15 minus 3 y plus x
D
negative 7 y minus 6 x minus 8 y plus x
E
5 times open paren x plus 15 close paren
14

What is the solution to negative 3 fourths x plus 2 is less than or equal to negative 7 ?

A
x is less than or equal to 12
B
x is greater than or equal to 12
C
x is less than or equal to negative 12
D
x is greater than or equal to negative 12
15

Which statement is true about rectangular prisms?

A
The bases are always congruent.
B
All rectangular prisms have five faces.
C
The lateral faces are always congruent.
D
All rectangular prisms have three lateral faces.
16

Emma read the statement “the quotient of six and a number, x , is the same as negative two times the difference of x and 4 point 5 ” She translated it as shown. 6 x is equal to negative 2 x minus 4 point 5 What errors did Emma make? Choose two correct answers.

A
She should not have included an equal sign.
B
She should have subtracted the difference open paren x minus 4 point 5 close paren from negative 2 .
C
She should have used parentheses to show that negative 2 is multiplied by open paren x minus 4 point 5 close paren .
D
She should have used division to represent the quotient of six and x .
E
She should have used parentheses to show that negative 2 is multiplied by open paren 4 point 5 minus x close paren .
17

The school record in the 200 -meter dash is 34 point 5 seconds. Which graph represents the set of times, in seconds, that would create a new school record?

A
Image with description A number line ranges from 32 point 5 to 35 point 5 by one halves. A closed circle is on 34 point 5. A ray is drawn from that circle pointing to the right.
B
Image with description A number line ranges from 32 point 5 to 35 point 5 by one halves. An open circle is on 34 point 5. A ray is drawn from that circle pointing to the left.
C
Image with description A number line ranges from 32 point 5 to 35 point 5 by one halves. A closed circle is on 34 point 5. A ray is drawn from that circle pointing to the left.
D
Image with description A number line ranges from 32 point 5 to 35 point 5 by one halves. An open circle is on 34 point 5. A ray is drawn from that circle pointing to the right.
18

Mateo ate 3 eighths of a pizza, which was a total of 510 calories of food. Which equation can be used to determine the total number of calories in the entire pizza?

A
3 eighths is equal to 510 is equal to x
B
3 eighths is equal to 510 x
C
3 eighths x is equal to 510
D
x over 510 is equal to 3 eighths
19

Which statements about the factors of the terms in the expression 20 A plus 15 A b plus 24 b are true? Choose three correct anwers.

A
The factors common to 20 A and 15 A b are 1 , 5 , and A .
B
The factors common to 20 A and 24 b are 1 , 2 , and 4 .
C
The GCF of the expression is A b .
D
The factors common to 20 A and 15 A b are 1 , 5 , A , and b .
E
The GCF of the expression is 1

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