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Practice Test Answers

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Which scenario could be represented by the algebraic expression n over 12 ?

A
Ahmed wants to know how many floors are in an office building when each floor is 12 feet high.
B
Ahmed wants to know how many half-inch pieces are in a foot.
C
Ahmed wants to know the height of a building if each floor is 12 feet high.
D
Ahmed wants to know how much money he would make after 12 hours of work.
5

Jayne evaluated an expression that has a value of 1 over 729 Which expression could Jayne have evaluated? Choose two correct answers.

A
1 third to the negative 6 power
B
negative 9 cubed
C
9 to the negative 3 power
D
negative 3 to the 6th power
E
1 ninth to the negative 6 power
F
3 to the negative 6 power
7

Which expressions are equivalent to 64 to the 1th power ? Choose three correct answers.

A
3 to the 4th power
B
4 cubed
C
6 squared
D
2 to the 8th power
E
8 squared
F
2 to the 6th power
8

Which expressions have a value of 16 over 81 ? Choose two correct answers.

A
16 thirds to the 4th power
B
open paren 1 over 81 close paren to the 16th power
C
4 ninths squared
D
open paren 4 over 81 close paren squared
E
2 thirds to the 4th power
9

The work that Ryan did to find the greatest common factor of 48 and 72 is as follows Prime factorization of 48 : 2 times 2 times 2 times 2 times 3 Prime factorization of 72 : 2 times 2 times 2 times 3 times 3 The greatest common factor is 2 times 2 times 2 times 3 times 3 What is Ryan’s error?

A
Ryan did not include only common prime factors in the greatest common factor.
B
Ryan did not list all the factors in the prime factorization of 48 .
C
Ryan did not list all the factors in the prime factorization of 72 .
D
Ryan did not add the common prime factors to get the greatest common factor.
10

Nancy is checking to determine if the expressions x+4+x and 6+2⁢x−2 are equivalent. When x=3, she correctly finds that both expressions have a value of 10. When x=5, she correctly evaluates the first expression to find that x+4+x=14. What is the value of the second expression when x is equal to 5 , and are the two expressions equivalent?

A
The value of the second expression is 8 , so the expressions are not equivalent.
B
The value of the second expression is 18 , so the expressions are not equivalent.
C
The value of the second expression is 16 , so the expressions are equivalent.
D
The value of the second expression is 14 , so the expressions are equivalent.

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