Unit Test — Unit test Answers

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Which equation, when solved, results in a different value of x than the other three?

A
8.3 = negative 0.6 x + 11.3
Option A
B
11.3 = 8.3 + 0.6 x
Option B
C
11.3 minus 0.6 x = 8.3
Option C
D
8.3 minus 0.6 x = 11.3
Option D
2
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William’s typical running speed is 6 mi/h. The difference between his fastest speed and his typical speed is 1.5 mi/h. The equation can be used to represent this problem, where f is William’s fastest speed. What is William’s fastest speed?

Question illustration
A
4.5 mi/h
B
5.5 mi/h
C
6.5 mi/h
D
7.5 mi/h
3

Which equation can be used to represent the statement?The sum of one-sixth of a number and negative two is equal to negative two-thirds.

A
One-sixth + n = negative 2 + two-thirds
Option A
B
One-sixth + n = negative 2 + (negative two-thirds)
Option B
C
One-sixth n + 2 = negative two-thirds
Option C
D
One-sixth n minus 2 = negative two-thirds
Option D
4

What is the value of p in the equation?

Question illustration
A
–20
B
–2
C
5
D
10
5

What is the value of x in the equation –2.4x = 8.4?

A
–20.16
B
–3.5
C
3.5
D
20.16
6

Which shows how to solve the equation for x in one step?

Question illustration
A
Negative four-fifths (Five-fourths) x = 80 (five-fourths)
Option A
B
Negative four-fifths (Negative five-fourths) x = 80 (negative five-fourths)
Option B
C
Negative four-fifths (negative 5) x = 80 (negative 5)
Option C
D
Negative four-fifths (5) x = 80 (5)
Option D
7

The first step to solve the equation is shown below.Which property was applied in this step?

Question illustration
A
Addition Property of Equality
B
Subtraction Property of Equality
C
Multiplication Property of Equality
D
Division Property of Equality
8

Nari says, “The sum of 10 and one-third of a number is 25.” She uses the bar model to write an equation to represent her statement.Which equation can Nari write using the bar model?

Question illustration
A
25 = 10 + one-third n
Option A
B
10 = one-third n + 25
Option B
C
25 = 10 minus one-third
Option C
D
10 = one-third n minus 25
Option D
9

Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the park and back home. Over the 5 school days, she rides a total of 25 miles. Which equation can be used to find the distance she rides each evening?

A
1.5 + x = 25
Option A
B
1.5 + 1.5 + x = 25
Option B
C
5 (1.5 + x) = 25
Option C
D
5 (1.5 + 1.5 + x) = 25
Option D
10

In a local city, the temperature at noon is . The temperature is expected to decrease by each hour until the temperature reaches . How many hours will it take for the temperature to reach ?

Question illustration
A
6 hours
B
7 hours
C
7.2 hours
D
8.4 hours
11

Each morning, Jon rides 1.5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles.Which equation can be used to find x, the distance from school to his aunt’s house?

A
5 + left-bracket 2 (1.5 + x) right-bracket = 44
Option A
B
2 (1.5 + x) = 44
Option B
C
5 (1.5 + x) = 44
Option C
D
5 times left-bracket 2 (1.5 + x) right-bracket = 44
Option D
12

What is the solution for the equation?

Question illustration
A
n = negative 15.1
Option A
B
n = negative 14.5
Option B
C
n = 14.5
Option C
D
n = 15.1
Option D
13

What is another way to write the equation ?

Question illustration
A
7 (StartFraction x over 8 EndFraction) + three-fourths = negative 6
Option A
B
StartFraction 7 + 3 over 8 + 4 EndFraction x = negative 6
Option B
C
StartFraction 7 over 8 EndFraction + three-fourths x = negative 6
Option C
D
StartFraction 7 over 8 EndFraction x minus three-fourths = 6
Option D
14

What is the value of x in the equation ?

Question illustration
A
–22
B
–1.1
C
1.1
D
22
15

What property was applied to solve the equation below?

Question illustration
A
Addition Property of Equality
B
Subtraction Property of Equality
C
Multiplication Property of Equality
D
Division Property of Equality
16

At a big cat reserve, a male Bengal tiger weighs more than a female Bengal tiger. The male tiger weighs 445 pounds. The difference in the weights of the tigers is 97 pounds. The zookeeper created the bar diagram and equation below to find the difference in their weights. What is the value of f ?

Question illustration
A
348 pounds
B
358 pounds
C
532 pounds
D
542 pounds
17

Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew spent a total of $65 for membership and gym use. If the equation models the situation, how many times did he use the gym last month?

Question illustration
A
11
B
12
C
13
D
15
18

Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets.Sara used the equation to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost?

Question illustration
A
$4.70
B
$6.60
C
$8.50
D
$13.75
19

What is the value of x in the equation ?

Question illustration
A
–98
B
–72
C
72
D
98
20

Which step could be used to solve for x in one step? Select two options.

Question illustration
A
Add 3.6 to both sides.
B
Add to both sides.
Option B
C
Add 1.7 to both sides.
D
Add to both sides.
Option D
E
Subtract 3.6 from both sides.

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