Name: 
 

Gateway Practice 3



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 
 
Use the graph to answer the following questions.
gatewaypractice3_files/i0020000.jpg
 

 1. 

Which ordered pair represents the coordinates of point A?
a.
(–3,–4)
c.
(–3, 4)
b.
(–4, 3)
d.
(4, –3)
 

 2. 

Which ordered pair represents the coordinates of point G?
a.
(0, 2)
c.
(0, –2)
b.
(2, 0)
d.
(–2, 0)
 

 3. 

Which point has coordinates (1, –1)?
a.
A
c.
C
b.
B
d.
D
 

 4. 

Which ordered pair represents the coordinates of point E?
a.
(2, 3)
c.
(–2, –3)
b.
(3, 2)
d.
(–3, –2)
 

 5. 

A painter is using a ladder that is gatewaypractice3_files/i0070000.jpg yards long.       She places the base 2 yards from the house and leans the ladder against the house as shown in the diagram. How far up the wall of the house does the ladder reach?
gatewaypractice3_files/i0070001.jpg
a.
gatewaypractice3_files/i0070002.jpg
c.
gatewaypractice3_files/i0070003.jpg
b.
gatewaypractice3_files/i0070004.jpg
d.
gatewaypractice3_files/i0070005.jpg
 

 6. 

A loading ramp is 13 feet long and extends horizontally 12 feet, as shown in the diagram. How high above the ground does the ramp reach?
gatewaypractice3_files/i0080000.jpg
a.
1 ft
c.
5 ft
b.
4 ft
d.
7 ft
 

 7. 

Derek’s house is 55 meters from the       corner and his friend’s house is 48 meters from the corner as shown in the diagram. If Derek walks straight across his back yard to his friend’s house, how far will he walk?
gatewaypractice3_files/i0090000.jpg
a.
51.5 m
c.
79 m
b.
73 m
d.
103 m
 

 8. 

Esperanza, who is 5 feet 6 inches tall, casts a shadow that is 9 feet 2 inches long at the same time that the observation tower on top of Clingmans Dome casts a shadow that is 90 feet long. How tall is the observation tower?
a.
45.8 ft
c.
59.4 ft
b.
54 ft
d.
150 ft
 
 
In the diagram, gatewaypractice3_files/i0110000.jpg. Use the diagram to answer the following questions.
gatewaypractice3_files/i0110001.jpg
 

 9. 

Which proportion can be used to find the length of gatewaypractice3_files/i0120000.jpg?
a.
gatewaypractice3_files/i0120001.jpg
c.
gatewaypractice3_files/i0120002.jpg
b.
gatewaypractice3_files/i0120003.jpg
d.
gatewaypractice3_files/i0120004.jpg
 

 10. 

In the diagram, gatewaypractice3_files/i0130000.jpg. What is the length of gatewaypractice3_files/i0130001.jpg?
gatewaypractice3_files/i0130002.jpg
a.
gatewaypractice3_files/i0130003.jpg
c.
gatewaypractice3_files/i0130004.jpg
b.
gatewaypractice3_files/i0130005.jpg
d.
gatewaypractice3_files/i0130006.jpg
 
 
Use the diagram to answer the following questions.
gatewaypractice3_files/i0140000.jpg
 

 11. 

What is the distance from the tree to the cave?
a.
7 units
c.
5 units
b.
6 units
d.
4 units
 

 12. 

What is the distance from the deer to the cave?
a.
gatewaypractice3_files/i0160000.jpg
c.
gatewaypractice3_files/i0160001.jpg
b.
gatewaypractice3_files/i0160002.jpg
d.
9 units
 

 13. 

What is the distance from the hunter to the deer?
a.
gatewaypractice3_files/i0170000.jpg
c.
gatewaypractice3_files/i0170001.jpg
b.
gatewaypractice3_files/i0170002.jpg
d.
11 units
 

 14. 

What is the distance from the hunter to the tree?
a.
gatewaypractice3_files/i0180000.jpg
c.
gatewaypractice3_files/i0180001.jpg
b.
2 units
d.
3 units
 

 15. 

What is the distance from point R to point S?
gatewaypractice3_files/i0190000.jpg
a.
gatewaypractice3_files/i0190001.jpg
c.
7 units
b.
gatewaypractice3_files/i0190002.jpg
d.
6 units
 

 16. 

Which is the best estimate for the area of the leaf?
gatewaypractice3_files/i0200000.jpg
a.
112 units2
c.
56 units2
b.
60 units2
d.
28 units2
 

 17. 

Which is the best estimate for the area of the star?
gatewaypractice3_files/i0210000.jpg
a.
4 units2
c.
12 units2
b.
8 units2
d.
24 units2
 

 18. 

How many cubic yards of rock are needed to cover a landscape area that is 24 feet long, 9 feet wide, and 6 inches deep?
a.
4 yd3
c.
108 yd3
b.
12 yd3
d.
1296 yd3
 
 
Use the information below  to answer the following questions.

An archery target has a radius of       9 inches, and the bull’s-eye on the target has a diameter of 3 inches, as shown in the figure.
gatewaypractice3_files/i0230000.jpg
 

 19. 

What is the area, to the nearest tenth, of the bull’s-eye?
a.
4.7 in2
c.
9.4 in2
b.
7.1 in2
d.
28.3 in2
 

 20. 

What is the circumference, to the nearest tenth, of the entire target?
a.
18.0 in.
c.
56.5 in.
b.
28.3 in.
d.
254.5 in.
 

 21. 

What is the area, to the nearest tenth, of the target excluding the bull’s-eye?
a.
47.1 in2
c.
247.4 in2
b.
226.2 in2
d.
254.5 in2
 

 22. 

If the area of a circular painting is 201.06 square feet, what is the diameter, to the nearest foot, of the painting?
a.
8 ft
c.
16 ft
b.
14 ft
d.
32 ft
 

 23. 

Which is the area representation of (3x + 2)(x + 2)?
a.
gatewaypractice3_files/i0280000.jpg
c.
gatewaypractice3_files/i0280001.jpg
b.
gatewaypractice3_files/i0280002.jpg
d.
gatewaypractice3_files/i0280003.jpg
 

 24. 

Which is the area representation of (x + 2)(2x + 1)?
a.
gatewaypractice3_files/i0290000.jpg
c.
gatewaypractice3_files/i0290001.jpg
b.
gatewaypractice3_files/i0290002.jpg
d.
gatewaypractice3_files/i0290003.jpg