Algebra Gateway Practice Test - 55 Questions
 
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Algebra Gateway Practice Test - 55 Questions

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

 1. 
The diameter of a circular pizza pan is 16 inches. What is the area, to the nearest tenth, of the pan?
a.
50.3 in2
c.
201.1 in2
b.
100.5 in2
d.
804.2 in2
 

 2. 
Which graph represents mc002-1.jpg?
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 
Which list is ordered from greatest to least?
a.
mc003-1.jpg
c.
mc003-3.jpg
b.
mc003-2.jpg
d.
mc003-4.jpg
 

 4. 
Solve 12f – 15 + 3 + 16f = – 2f – 12 + 20 for f.
a.
mc004-1.jpg
c.
mc004-3.jpg
b.
mc004-2.jpg
d.
–10
 

 5. 
The graph shows the results of a survey       given to 800 students about which type of book they prefer to read. How many students prefer to read either action or science fiction books?
mc005-1.jpg
a.
27 students
c.
176 students
b.
40 students
d.
216 students
 

 6. 
If mc006-1.jpg, what is HI?
mc006-2.jpg
a.
18 cm
c.
12 cm
b.
16 cm
d.
8 cm
 

 7. 
It takes Jacki 3 hours to complete 7 posters and 9 hours to complete 21 posters. How long will it take her to complete 28 posters?
a.
mc007-1.jpg
c.
12 h
b.
21 h
d.
11 h
 

 8. 
Which is the best estimate of the coordinate of point M?
mc008-1.jpg
a.
mc008-2.jpg
c.
mc008-4.jpg
b.
mc008-3.jpg
d.
mc008-5.jpg
 

 9. 
Evaluate 4g +2h – 6h + 3g for g = 2 and h = –8.
a.
78
c.
–50
b.
46
d.
–64
 

 10. 
Jamal carries a water bottle with him on a field trip to Cades Cove in the Great Smoky Mountains National Park. The graph shows the amount of water in the bottle over a given time period while at Cades Cove. Which description best matches the graph?
mc010-1.jpg
a.
The water bottle is full at the beginning of the period. Jamal drinks some of the water and then sets the bottle aside.
b.
The water bottle is full at the beginning of the period. Then Jamal drinks some of the water, refills the bottle, and sets it aside.
c.
The water bottle is full at the beginning of the period. Then Jamal drinks all of the water, refills the bottle, and sets it aside.
d.
Jamal fills the water bottle, drinks some of the water, refills the bottle, and sets it aside.
 

 11. 
What is the reciprocal of mc011-1.jpg?
a.
mc011-2.jpg
c.
mc011-4.jpg
b.
mc011-3.jpg
d.
mc011-5.jpg
 

 12. 
What is the slope of the line shown?
mc012-1.jpg
a.
2
c.
mc012-3.jpg
b.
mc012-2.jpg
d.
–2
 

 13. 
In their first 5 games of the season, a college football team scored 28 points, 33 points, 15 points, 40 points, and 15 points. What is the mean number of points scored in the 5 games?
a.
15 points
c.
28 points
b.
26.2 points
d.
29 points
 

 14. 
Miranda is buying steaks at a grocery store in Jackson. She can buy 2 pounds of steak for $10.98, 4 pounds of steak for $22.09, or 7 pounds of steak for $38.75. Which number of pounds is the best buy?
a.
2 lb and 7 lb are equally good buys.
c.
4 lb
b.
2 lb
d.
7 lb
 

 15. 
Which is the best estimate for the area of the fish?
mc015-1.jpg
a.
25 units2
c.
125 units2
b.
60 units2
d.
160 units2
 

 16. 
How do the graphs of mc016-1.jpg?
a.
The first graph is a vertical line and the second graph is a horizontal line.
b.
The graphs are perpendicular to each other.
c.
The first graph rises from left to right and the second graph falls from left to right.
d.
The first graph falls from left to right and the second graph rises from left to right.
 

 17. 
If a souvenir shop had sold $4500 more in souvenirs of Lookout Mountain near Chattanooga this year, then the sales from those souvenirs would have been twice last year’s sales. If sales this year from the souvenirs totaled $22,400, which equation can be used to find the amount s of last year’s sales?
a.
4500 + s = 2(22,400)
c.
22,400 + 4500 = 2s
b.
4500 + 2s = 22,400
d.
22,400 = 2(s +4500)
 

 18. 
Hillary is buying carpeting for her bedroom and closet. The bedroom has an area of 206.5 square feet, and the closet has an area of 43 square feet. If the carpet costs $2.98 per square foot, and installation costs $1.05 per square foot, which is the best estimate of how much it will cost to have carpeting installed in the bedroom and closet?
a.
$750
c.
$1000
b.
$800
d.
$1200
 

 19. 
The bar graph shows the approximate       population of Tennessee for five different U.S. census years. Approximately how many more people were living in Tennessee in 2000 than in 1970?
mc019-1.jpg
a.
1,400,000 people
c.
2,100,000 people
b.
1,800,000 people
d.
2,800,000 people
 

 20. 
The surface level of a reservoir is at an elevation of 840 feet on July 1. If the reservoir is dropping an average of 3 inches per day, and this rate remains constant, about what will be the elevation of the surface on July 31?
a.
835 ft
c.
830 ft
b.
832.5 ft
d.
750 ft
 

 21. 
How many triangles must be added to the last figure shown to get the next figure in the pattern?
mc021-1.jpg
a.
36
c.
11
b.
20
d.
9
 

 22. 
Solve 7a + 3 – 12 + 16a = –14 for a.
a.
1
c.
–1
b.
mc022-1.jpg
d.
mc022-2.jpg
 

 23. 
Simone is making a scale drawing of the Walnut Street Bridge in Chattanooga, which is 2370 feet long. In her drawing, 3 inches represent 100 feet. Which proportion can be used to find the length ,in feet of Simone’s scale drawing?
a.
mc023-1.jpg
c.
mc023-3.jpg
b.
mc023-2.jpg
d.
mc023-4.jpg
 

 24. 
Given that each unit square on the       archaeological dig shown is 1 foot square, what is the straight-line distance between the bowl and the bone fragment?
mc024-1.jpg
a.
11 ft
c.
mc024-3.jpg
b.
mc024-2.jpg
d.
mc024-4.jpg
 

 25. 
Which function generalizes the pattern in the table?

x
–1
0
1
2
f(x)
mc025-1.jpg
1
3
9
a.
mc025-2.jpg
c.
mc025-4.jpg
b.
mc025-3.jpg
d.
mc025-5.jpg
 

 26. 
Simplify (2c – 5)(–3c – 1).
a.
–6c2 + 13c + 5
c.
–c – 6
b.
–6c2 – 17c + 5
d.
–6c2 + 5
 

 27. 
Claude and Sofia are hiking up a mountain near Elkmont. After 2 hours they are at an altitude of 2800 feet. They continue to climb at a rate of 500 feet every 1.5 hours. Which graph models this climb?
a.
mc027-1.jpg
c.
mc027-3.jpg
b.
mc027-2.jpg
d.
mc027-4.jpg
 
 
Use the following information to answer the following questions.

The graph shows the wind speed at a given location as a tornado with a Fujitsa scale ranking of F5 passes over the location.
nar001-1.jpg
 

 28. 
What is the domain D of the graph?
a.
mc028-1.jpg
c.
mc028-2.jpg
b.
D = 1
d.
mc028-3.jpg
 

 29. 
What is the range R of the graph?
a.
mc029-1.jpg
c.
R = 300
b.
mc029-2.jpg
d.
mc029-3.jpg
 

 30. 
What is the opposite of mc030-1.jpg?
a.
–0.875
c.
mc030-3.jpg
b.
mc030-2.jpg
d.
mc030-4.jpg
 

 31. 
Which graph represents mc031-1.jpg?
a.
mc031-2.jpg
c.
mc031-4.jpg
b.
mc031-3.jpg
d.
mc031-5.jpg
 

 32. 
Carlos is laying bricks end-to-end to border one side of a path from his house to his garden. If each brick is 8 inches long and the path is 35 feet long, how many bricks will Carlos need to buy?
a.
4 bricks
c.
52 bricks
b.
5 bricks
d.
53 bricks
 

 33. 
Evaluate 3t2 – (2t + 3)2 – t3 + 7 for t = –5.
a.
–242
c.
8
b.
–92
d.
158
 

 34. 
Zach is planting a willow tree. He plans to       anchor the tree with a rope 10 feet long as shown in the diagram. If Zach ties the rope to the tree 6 feet above the ground, how far from the base of the tree must he anchor the rope in the ground?
mc034-1.jpg
a.
4 ft
c.
9 ft
b.
8 ft
d.
16 ft
 

 35. 
Bailey’s age is 3 less than half of Morgan’s age m. Which expression represents Bailey’s age?
a.
0.5(m – 3)
c.
0.5m – 3
b.
3 – 0.5m
d.
0.5(3 – m)
 

 36. 
Simplify mc036-1.jpg
a.
72pst
c.
6(pst)2
b.
6pst7
d.
6p3s2t2
 

 37. 
Which is an area representation of (4x + 1)(2x + 3)?
a.
mc037-1.jpg
c.
mc037-3.jpg
b.
mc037-2.jpg
d.
mc037-4.jpg
 

 38. 
The graph shows the growth of a newly       sprouted soybean plant. If the plant continues to grow at the same rate, how tall will it be in 8 days?
mc038-1.jpg
a.
4.5 cm
c.
6 cm
b.
5.25 cm
d.
7.5 cm
 

 39. 
Pedro’s parents are going to buy new carpeting for his bedroom, which is 12 feet long and 15 feet wide. How many square yards of carpet must they buy?
a.
180 yd2
c.
30 yd2
b.
60 yd2
d.
20 yd2
 

 40. 
Solve 15 – 3d = –20 for d.
a.
mc040-1.jpg
c.
mc040-3.jpg
b.
mc040-2.jpg
d.
–8
 

 41. 
Devon is going to select 3 pictures of the Tennessee National Wildlife Refuge out of 48 pictures to enlarge as a gift for his parents. How many different groups of 3 pictures can he select?
a.
103,776 groups
c.
144 groups
b.
17,296 groups
d.
16 groups
 

 42. 
The table shows the cost c of parking h hours at a shopping mall parking garage. Which graph models the cost as a function of the number of hours?

h
1
2
3
4
c
2.50
3.75
5.00
6.25
a.
mc042-1.jpg
c.
mc042-3.jpg
b.
mc042-2.jpg
d.
mc042-4.jpg
 

 43. 
The height of a pine tree p is 16 feet more than 1.3 times the height of a maple tree m. Which equation represents this situation?
a.
p = 1.3m + 16
c.
m = 1.3p + 16
b.
p + 16 = 1.3m
d.
1.3p = m + 16
 

 44. 
Which graph represents mc044-1.jpg?
a.
mc044-2.jpg
c.
mc044-4.jpg
b.
mc044-3.jpg
d.
mc044-5.jpg
 

 45. 
Solve mc045-1.jpg.
a.
8.25
c.
–8.25
b.
–1.25
d.
no solution
 

 46. 
Which ordered pair represents point P?
mc046-1.jpg
a.
(0, –2)
c.
(–2, 0)
b.
(0, 2)
d.
(2, 0)
 

 47. 
Simplify 5k + 6j – (12jk + 10k) + 17jk – 8j.
a.
–2j + 15k + 29jk
c.
–2jk
b.
–2j – 5k + 5jk
d.
–2j + 15k + 5jk
 

 48. 
Which graph contains the points at (–1, 4) and (2, 0)?
a.
mc048-1.jpg
c.
mc048-3.jpg
b.
mc048-2.jpg
d.
mc048-4.jpg
 

 49. 
The area of a square bathroom floor is 36 square feet. What is the length of a side of the floor?
a.
18 ft
c.
9 ft
b.
12 ft
d.
6 ft
 

 50. 
Ahman and Ella are going to a fair in Nashville. They have budgeted $35 for the fair. If it costs $7 for each person to enter the fair and an additional $1.50 per person per arcade game, how many games can they play in total?
a.
32 or fewer
c.
18 or fewer
b.
23 or fewer
d.
14 or fewer
 

 51. 
Solve mc051-1.jpg.
a.
mc051-2.jpg
c.
0
b.
mc051-3.jpg
d.
mc051-4.jpg
 

 52. 
Simplify mc052-1.jpg.
a.
29
c.
–3
b.
13
d.
–19
 

 53. 
What is the next number in the pattern shown?
188, 195, 202, 209, 216, …
a.
218
c.
221
b.
219
d.
223
 

 54. 
Owen and Angela own four dogs, each of a different breed. The amount of food the four dogs eat per day is 2.1 pounds, 1.7 pounds, 0.5 pound, and 1.3 pounds. What is the median number of pounds of food the dogs eat in a day?
a.
1.4 pounds
c.
1.6 pounds
b.
1.5 pounds
d.
1.7 pounds
 

 55. 
The graph models Raul’s trip as he is traveling in his car to go to the Grand Ole Opry. What could the horizontal line segment on the graph represent?
mc055-1.jpg
a.
Raul traveling at a constant speed
b.
Raul traveling on a road without hills
c.
Raul stopped at a stop light
d.
Raul braking to avoid a hole in the road
 



 
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