MAT 032 – ALGEBRA B
FINAL EXAM REVIEW
Evaluate the following expressions
(
1.
)
(
2.
3.
(
)
(
Evaluate
18. (
)
19. (
)
)(
)
)(
20.
Evaluate the following for x = 2, y = -3
(
)
)
Reduce
21.
4.
5. (
)
(
)
22.
Solve for x
(
6.
)
(
7.
)
(
8.
(
9.
11.
)
25.
)
)(
(
(
24.
)
(
(
Perform the indicated operations
)
Simplify
10.
23.
)
)(
26.
)
27.
12.
13.
(
)
(
(
)
)
28.
29.
Factor
14.
15.
16.
17.
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MAT 032 – ALGEBRA B
FINAL EXAM REVIEW
Solve for x
Solve the following systems of equations
41.
30.
42.
31.
32.
(
43.
)
33.
Simplify
34.
44. √
Find the x and y intercepts
45. √
35.
46.
36.
√
37. Find the slope for the line passing through
(-2,1) and (-3,-4)
47.
38. Find the slope for the line with equation
Solve
39. Write the equation of the line passing through
(-2,1) and (2,-3)
40. Write the equation of the line passing through
(-2,-4) and has slope of
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√
48.
49.
50.
Cerullo Learning Assistance Center (CLAC)
201-447-7489
MAT 032 – ALGEBRA B
FINAL EXAM REVIEW
Answer key
1.
-112
18.
35. (4,0), (0,6)
2. 32
19.
36. (0,0)
3. -4
20.
37. 5
4. 1
38. 2
21.
5. 11
39.
6. x = 3
7. x =
22.
40.
23.
8. x
6
9. a
-4
(
)
41. x = 3, y = -3
42. x = 0, y = 4
24.
10. 3a2b3
11.
12.
13.
43. x = 3, y = -4
25. (
)
44.
26.
45.
27.
46.
28.
47.
14. 6(a-2)(a-1)
29.
15. 2y(x+4)(x-4)
30.
16. (2x-1)(x-3)
31.
17. (x+3)(x-2)
32.
(
)
√
√
√
48.
49.
√
50. x = 2, 5
33.
34.
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Cerullo Learning Assistance Center (CLAC)
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MAT 032 – ALGEBRA B
FINAL EXAM REVIEW
Word Problems
(Set A)
1.
A number added to three times itself is 20. Find the number.
2. David emptied his pockets and found that he had 30 coins worth $4.80. He only had quarters and dimes. How
many coins of each kind did David have?
3. The length of a rectangle is 4 inches more than its width. The perimeter is 96 inches. Find the length and width
of the rectangle.
4. Madonna and Daniel leave the mall and travel in opposite directions. Madonna leaves at 2:00 P.M. driving at
55km/h, while Daniel leaves at 3:00 P.M. driving at 45km/h. At what time will they be 255 kilometers apart?
5. Eight less than twice a number is four more than the number. Find the number.
6. A manufacturer sells first quality skirts for $15 each and irregulars for $9 each. If a wholesaler spends $2,010 on
150 skirts, how many of each type did she buy?
7. The first side of a triangle is 3 more than 2 times the second side. The third side is twice the first and the
perimeter is 23, find the sides of the triangle.
8. When the smaller of two consecutive integers is added to three times the larger the result is 43. Find the
integers.
9. Susan jogs to the post office at the rate of 12 kilometers per hour (km/h) and walks home at the rate of 6 km/h.
If her total time, jogging and walking, is 3 hours, how far is the office from her home?
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MAT 032 – ALGEBRA B
FINAL EXAM REVIEW
Word Problems
(Set B)
1. Two times a number added to 85 is 117. Find the number.
2. Constance has $2.80 in quarters and dimes. The number of quarters exceeds three times the number of dimes
by 1. Find the number she has of each kind.
3. The length of a rectangle is 3 times its width. The perimeter of the rectangle is 32 feet. What are the rectangle’s
length and width?
4. Stewart and David are entering a bike race whose length is 90 kilometers (km). David’s speed is 25 km/h in
completing one segment. Stewart’s speed is 10 km/h and takes 2 hours longer to complete the other segment.
How long is each segment?
5. When 36 is subtracted from five times a certain number, the result is 374. What is the number?
6. Advanced-purchase tickets to play cost $8, while tickets purchased at the door cost $10. If a total of 100 tickets
were sold and $950 was collected. How many advanced-purchased tickets were sold?
7. The second side of a triangle is three times the first side. If the third side is 6 in. less than the first side and the
perimeter is 29 in. find the lengths of the three sides.
8. The sum of three consecutive odd integers is 29 more than twice the largest. Find them.
9. Nelson can drive from his house to the bank at a certain rate of speed in 5 hours. If he increases his speed by 15
km/h, he can make the trip in 4 hours. How far is it from his house to the bank?
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MAT 032 – ALGEBRA B
FINAL EXAM REVIEW
ANSWERS
Set A
Set B
1. x = 5
1. x = 16
2. 12 quarters, 18 dimes
2. 3 dimes, 10 quarters
3. l = 26, w = 22
3. l = 12, w = 4
4. 5 P.M.
4. 50 km and 40 km
5. x = 12
5. x = 82
6. 110 first quality, 40 irregulars
6. 25 advance tickets, 75 at the door
7. First side = 7
Second side = 2
Third side = 14
7. First side = 7
Second side = 21
Third side = 1
8. x = 10, 11
8. 31, 33, 35
9. 12 km
9. 300 km
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