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Chapter Six Re-take

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Express 6 cups to 5 quarts as a fraction in simplest form.
a.
mc001-1.jpg
c.
mc001-3.jpg
b.
mc001-2.jpg
d.
mc001-4.jpg
 

 2. 
Express the ratio 6 feet to 3 yards as a fraction in simplest form.
a.
2
c.
mc002-2.jpg
b.
mc002-1.jpg
d.
mc002-3.jpg
 

 3. 
Express 325 miles every 5 hours as a unit rate.
a.
1625 mi/h
c.
55 mi/h
b.
65 mi/h
d.
6.5 mi/h
 

 4. 
Which of the following has the same unit rate as 8 books in 12 weeks?
a.
2 books in 1 week
c.
6 books in 15 weeks
b.
5 books in 7 weeks
d.
3 books in 4.5 weeks
 

 5. 
Which of the following is the same rate as 72 kilometers per hour?
a.
116 mi/h
c.
45 mi/h
b.
54 mi/h
d.
12 mi/h
 

 6. 
Which of the following shows the correct metric approximation for 7 feet?
a.
2.1 meters
c.
21.3 meters
b.
4.3 meters
d.
23 meters
 

 7. 
An athlete runs 5 miles in 1mc007-1.jpg hours. If the distance covered is proportional to the time spent running, which of the following is not an equivalent rate?
a.
3 miles in mc007-2.jpg hour
c.
7 miles in 1mc007-4.jpg hours
b.
2 miles in mc007-3.jpg hour
d.
4 miles in 1 hour
 

 8. 
Which sets of numbers are proportional?
a.

mc008-1.jpg
c.

mc008-3.jpg
b.

mc008-2.jpg
d.

mc008-4.jpg
 

 9. 
What value of x makes mc009-1.jpg = mc009-2.jpg a proportion?
a.
14.4
c.
1.6
b.
10
d.
0.9
 

 10. 
A chili recipe calls for 6 pounds of ground beef for 25 servings. How many pounds are needed for 30 servings?
a.
5
c.
8
b.
7.2
d.
15
 

 11. 
At the grocery store, 3 cans of tuna fish are on sale for $1.08. Which equation could be used to find the total cost c if a customer wants to buy 7 cans of tuna?
a.
c = 7 mc011-1.jpg 1.08
c.
c = 7 mc011-3.jpg 0.36
b.
c = 3 mc011-2.jpg 0.36
d.
c = 7 mc011-4.jpg 3.24
 

 12. 
Audrey used a scale of 1 inch = 5 feet to construct a scale model of the school gymnasium. A basketball hoop in the model has a height of 2 inches. What is the actual height of the basketball hoop?
a.
2.5 feet
c.
10 feet
b.
7 feet
d.
15 feet
 

 13. 
Suppose a model of a commercial airplane is 11.5 inches long. The actual length of the airplane is 230 feet long. What is the scale of the model?
a.
1 ft = 20 in.
c.
1 in. = 20 ft
b.
20 in. = 20 ft
d.
20 in. = 230 ft
 

 14. 
A map has a scale of 1 inch = 75 miles. How many inches on the map would represent 300 miles?
a.
2 inches
c.
4 inches
b.
3 inches
d.
5 inches
 
 
Use the similar triangles below.

nar001-1.jpg
 

 15. 
Find the value of x.
a.
24
c.
18
b.
20
d.
12
 

 16. 
Find the value of mc016-1.jpg.
a.
34°
c.
51°
b.
46°
d.
100°
 

 17. 
Let D(3, mc017-1.jpg6) be a point on quadrilateral ABCD. What are the coordinates of D' if the quadrilateral is dilated by a scale factor of 5?
a.
(8, mc017-2.jpg1)
c.
(15, mc017-5.jpg6)
b.
(mc017-3.jpg2, mc017-4.jpg11)
d.
(15, mc017-6.jpg30)
 

 18. 
In the coordinate graph below, triangle ABC was dilated to form triangle A'B'C'. Which number best represents the scale factor used to change the triangle?

mc018-1.jpg
a.
mc018-2.jpg2
c.
mc018-5.jpg
b.
mc018-3.jpgmc018-4.jpg
d.
2
 

 19. 
At the same time a 15-foot pole casts a 7.5-foot shadow, a nearby tree casts an 11-foot shadow. How tall is the tree?
a.
15 feet
c.
24 feet
b.
22 feet
d.
48 feet
 

 20. 
At the same time a 5.5-foot person casts a 22-foot shadow, a nearby tree casts a 48-foot shadow. How tall is the tree?
a.
5.5 feet
c.
12 feet
b.
11 feet
d.
48 feet
 

Short Answer
 

 21. 
The directions on a bag of fertilizer indicate that one bag is enough to fertilize 0.5 acres. Explain how a farmer could find the number of bags of fertilizer he would need for 42 acres. Then solve.
 



 
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