Practice Test Answers

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1
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Which corrects the student’s first error?

A
In Step 1, the student should have used 1 half x to represent Nadra’s age, and written the equation open paren x plus 3 close paren plus x plus 1 half x is equal to 33 .
B
In Step 2, the student should have added 3 on both sides of the equation to find a solution of x is equal to 9 .
C
In Step 3, the solution represents Sadie’s age. Therefore, Sadie is 7 and 1 half , Kareem is 4 and 1 half , and Nadra is 2 and 1 fourth .
D
In Step 3, Nadra’s age is the difference between 33 and Sadie’s and Kareem’s ages, so Nadra is 15 .
2
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What is the solution for the equation? negative 5 halves is equal to 3 fourths plus n

A
n is equal to negative 13 fourths
B
n is equal to 7 fourths
C
n is equal to negative 7 fourths
D
n is equal to 13 fourths
3

Leo spent the same amount of time working on each of 5 different weight machines and then spent 2 thirds of an hour on the treadmill. If he spent a total of 1 and 3 fourths hours at the gym, which shows the correct equation and solution for x , the number of hours Leo spent at each of the weight machines?

A
5 x plus 2 thirds is equal to 1 and 3 fourths ; Leo spent 29 minutes at each machine.
B
2 thirds x plus 1 and 3 fourths is equal to 5 ; Leo spent 5 minutes at each machine.
C
5 x plus 2 thirds is equal to 1 and 3 fourths ; Leo spent 13 minutes at each machine.
D
2 thirds x plus 1 and 3 fourths is equal to 5 ; Leo spent 10 minutes at each machine.
5

Kendra bought a gallon of milk and 5 sixths of a pound of oranges. If the gallon of milk cost 3 point 6 0 dollars and she spent a total of 4 point 3 5 dollars , which equation can be used to determine x , the cost of a pound of oranges?

A
3 point 6 0 x plus 5 sixths is equal to 4 point 3 5
B
4 point 3 5 x plus 5 sixths is equal to 3 point 6 0
C
3 point 6 0 plus 5 sixths x is equal to 4 point 3 5
D
4 point 3 5 plus 5 sixths x is equal to 3 point 6 0
7

Which statement can be represented by the equation 2 fifths x plus 9 is equal to 9 ?

A
Two-fifths of nine is a number.
B
A number plus nine is the same as two-fifths of nine.
C
Two-fifths of a number is nine.
D
Nine more than two-fifths of a number is nine.
10

Jada is solving the following equation. negative 1 half times open paren x plus 4 close paren is equal to 6 Which is a possible first step to begin to simplify the equation? Choose two correct answers.

A
Distribute negative 2 over open paren x plus 4 close paren .
B
Multiply both sides of the equation by negative 2 .
C
Subtract 4 from both sides of the equation.
D
Divide both sides of the equation by negative 2 .
E
Distribute negative 1 half over open paren x plus 4 close paren .
11

What is the value of x in the equation negative 2 ninths x is equal to 2 fifths ?

A
negative 5 ninths
B
5 ninths
C
negative 1 and 4 fifths
D
1 and 4 fifths

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