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unit 7 Test corrections

Total questions: 25

Worksheet time: 19mins

Name
Class
Date
1.

The time to complete a project varies inversely with the number of employees. If 3 people can complete the project in 7 days, how long will it take 5 people?

a)

t = 4.2 days

b)

t = 21 days

c)

t = 5 days

d)

t = 3 days

2.

The volume V of a gas kept at a constant - temperature varies inversely with the pressure p. If the pressure is 24 pounds per square inch, the volume is 15 cubic feet. What type of variation problem is this and which is the formula?

a)

Direct; V=k⋅pV=k\cdot p

b)

Inverse; V=kpV=\frac{k}{p}

c)

Direct; p=k⋅Vp=k\cdot V

d)

Inverse; p=kVp=\frac{k}{V}

3.

Write the equation for the table given.

a)

y=13xy=\frac{1}{3}x

b)

y=48xy=\frac{48}{x}

c)

y=3xy=3x

d)

y=3xy=\frac{3}{x}

4.
a)
direct variation
b)
inverse variation
c)
neither direct nor inverse variation
5.
a)
direct variation
b)
inverse variation
c)
neither direct nor inverse variation
6.
The equation 
xy =  25  represents:
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
7.
Is the given table a direct variation? If so, what is the constant of variation?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
8.

2. If p varies directly as q and p = 18 when q = - 6, then k is __________.

a)

A. -3

b)

B. -1/3

c)

C. 1/3

d)

D. 3

9.

When renting a limo for prom, the number of people varies inversely with the cost per person. Originally there were 6 people and the cost per person was $48. If the number of people changed to 12, what would be the new cost per person?

a)

$24

b)

$96

c)

$8

d)

$4

10.

12 workers can complete the paintings in the facade of the new building in 5 days. If the painting would request for the job to be done within 3 days time only, how many workers must be hired to do the work?

a)

10 workers

b)

15 workers

c)

18 workers

d)

20 workers

11.

For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 25 and the width is 3. For this set of rectangles, calculate the width of a rectangle whose length is 5.

a)

15

b)

35

c)

75

d)

375

12.

The amount of time it takes for an ice cube to melt varies inversely to the air temperature, in degrees. At 55 degrees Fahrenheit, the ice will melt in 35 min. How long will it take the ice to melt if the temperature is 125 degrees?

a)

15.4 minutes

b)

17.5 minutes

c)

22.6 minutes

d)

79.5 minutes

13.
The number of words Maria typed varied directly with the amount of time she spent typing. If she typed 275 words in 5 minutes, how long would it take her to type 1,100 words? 
a)
220 minutes
b)
20 minutes
c)
15 minutes
d)
4 minutes 
14.

The number of miles Jim runs is directly proportional to the time spent running.

If he runs 6 miles in 46.8 minutes, how long will it take him to run 13.1 miles?

a)

92.35 minutes

b)

7.8 minutes

c)

150.67 minutes

d)

102.18 minutes

15.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

e)

linear

16.
Describe the transformation.
a)
Down 1
b)
Reflect over y-axis
c)
Up 1
d)
Reflect over x-axis
17.
What is the range of the function in this graph?
a)
y ≤ 3
b)
y ≥ 3
c)
y ≤ 0
d)
y ≥ 0
18.
What is the domain of the function in this graph?
a)
x ≤ 3
b)
x ≥ 3
c)
x ≤ 0
d)
x ≥ 0
19.
What is the domain of this graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x ≥ 0
d)
x ≤ 0
20.

What is the range of this graph?

a)

y ≥ -1

b)

y ≤ -1

c)

y ≥ 0

d)

y ≤ 0

21.
What are the transformations of this functions compared to the parent function?
a)
Shifted right 5, shifted down 2, and reflected over the x-axis
b)
Reflected over the x-axis, vertical stretch, and shifted right 5
c)
Reflected over the x-axis, vertical stretch, and shifted left 5
d)
Shifted right 5, shifted down 2
22.
What are the transformations to the graph compared to the parent function?
a)
Shifted right 2, shifted up 3, and reflected over the y-axis
b)
Shifted left 2, shifted up 3, and reflected over the y-axis
c)
Shifted left 2, shifted up 3, and reflected over the x-axis
d)
Shifted right 2, shifted up 3, and reflected over the x-axis
23.
What are the asymptotes?
a)
x= -1 y = -3
b)
x=1 y = -3
c)
x= -1 y =3
d)
x=1, y=3
24.

What is the x-intercept?

a)

(1,0)

b)

(-1,0)

c)

(0,1)

d)

(0,-1)

25.
What is the horizontal asymptote? 
a)
x = 2
b)
x = 7
c)
y = 2
d)
y = 7

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