MATH 93 FINAL REVIEW College Of Southern Nevada Frieda Nilforoushan 1.
How many terms we have in the expression
2.
3.
What are the factors of 11x ?
What is the coefficient of − x ?
2x + 4 y + 7
?
Simplify.
4.
6.
8.
10.
12.
14.
16.
18.
20.
22.
24.
26.
28.
30.
32.
−7 − 11
−7 − ( −3)
−1 − ( −4) + 3 − 5 + ( −1) − (2) − ( +7)
−7( −5)
−2( −5)(2)( −3)( −1)
( −1)99
( −2) 4
( −2)3
−16 ÷ −2
15
−3
0
−4
3− 3
5
− 4( − 2 ) 2 − ( − 7)
− 52 − ( − 5) 2
6( − 3) − 11 + 1
4 2 − 32
5.
7.
9.
11.
13.
15.
17.
19.
21.
23
25.
−13 + 9
−5 − ( +15)
−9
−3(7)
3( −4)( −1)( −2)
( −1)98
−2 4
−2 3
−( −2) 2
−27
−9
−2 − 1
4−4
27.
4(20 − 5 ⋅ 3 + 2) − 4
29.
31.
49 ÷ ( − 7) ⋅ 3
8 − 4 ⋅ − 3 − 9 + ( − 1) 99 + ( − 1) 200
MATH 93 FINAL REVIEW College Of Southern Nevada Evaluate.
33.
2x − 7
for x = 3
Simplify.
35.
2x + 4 + 7x + 3 +
37.
−y − y − y − y
39.
41.
43.
34.
x
3(4) x
3(4 + x )
3(2 x − 5) − 7(2 − x )
36.
38.
40.
42.
44.
Solve and check.
45.
m − 14 = − 30
47.
−5 = − 4 + y
46.
48.
49.
50.
51.
53.
55.
56.
5 − 3 y = 14
20a + 27 = 17a + 51
x = −8 x + 54
5(4 y − 10) = 6(3 y − 8)
4(3 y − 5) − 2(4 y − 5) = 3( −2 y − 30)
52.
54.
−3 y − 11 for y = −2
−2 x + 11 + x − 21
4m − 4 x − 7m − 2 x + x
−3( −2)( −1)( x )( y )
−5(2 − y )
−( p − 1) − (3 − 6 p ) − 3
−3x = 18
2 − a =1
−3m + 9 = 45
3W + 43 = −6W − 20
−2(3x + 9) = 42
Identify the unknown(s), set up the equation, then solve the word problem.
57.
Sam’s height decreased by 5 is 2 feet. Find Sam’s height.
58.
The difference between a number and 9 results in 20. Find the number.
59.
Fifteen less than 3 times the height of a wall is 51. Find the height of the wall.
60.
A ring costs $120 more than5 times a necklace. Together they cost $3696. Find the cost of each
61.
The daily listening audience of an AM radio station is four times as large as that of its FM sister
station. If 100,000 people listen to these two radio stations, how many listeners does the FM
station have?
62.
The midweek workout for a fitness instructor consisted of jogging and bicycling. If she biked 8
more miles than she jogged and her workout covered a total of 18 miles, find the length of each
part of her workout.
MATH 93 FINAL REVIEW College Of Southern Nevada 63.
The length of a rectangle is 4 inches less than twice its width, express width and the length of
the rectangle.
64.
Simplify and write the result in lowest terms
65.
Reduce to lowest terms.
−36a 3b2
48a12b
8B − 2
2
Perform the indicated operation write the result in lowest terms.
66.
68.
70.
72.
4
− +3
6
4 3
−
x 5
3
5
75 − 24
4
6
7y +1 y − 3
−
7
7
67.
69.
71.
73.
6
3
÷ (− )
5
10
3
3x
(
) ÷ 12 x 5
10
10
4 3
) ( − )( )
25
9 8
5
4
−
−
24 16
( −1
Solve.
14
1
=−
15
5
74.
9m − 2 = 4
75.
x+
76.
3
1 5
x− = x
4
2 8
77.
x
=7
−5
78.
37.1x − 93.4 = 2(8.4 x − 6.1)
79.
If March home sales were 3% higher than January home sales, and there were 3100 homes sold in
January, how many were sold in March?
80.
A math student took a 64 question test and had 40 correct. What percent is this?
81.
Find the perimeter and area of a carpet that measures
82.
Find the circumference and area of a circular table with a radius of 4 feet.
4
1
3
feet by 11 feet.
MATH 93 FINAL REVIEW College Of Southern Nevada 83.
A triangular flag has a base of 7 feet and a height of
84.
A cabinet has dimensions of
4.6 inches, 3
1
3
3
1
3
feet, find the area of the flag.
inches, and
1
inches. Find its volume.
7
Simplify using product rule or power rule or both.
87.
y 2 ⋅ y5 ⋅ y
(3x 3 y 2 ) 2
89.
Simplify and write your answer in descending order.
85.
90.
91.
92.
93.
86.
88.
( −b 2 ) 4
(2 x 2 ) 4 (3x 2 )3
a − 5a 2 − 5 + a 2 − ( −8a 2 ) + 3 − 11a
2
2
Simplify. (5 x − 3 x ) − 2(7 x + x − 4)
Multiply and simplify. (2 x + 3)(3 x − 1)
2
Multiply −3 y (2 − y )
2
Multiply (2 − x )
Evaluate.
94.
95.
96.
97.
98.
−8x 2 − xy
for
x = 2.1 and y = −0.02 .
t = −2 and K = −3
−3
1
x 2 − 2c .for c =
, and x =
4
8
3
11
Plot on the x-y plane ( −3 ,1) , ( ,2) .
5
3
Is ( −5,3) a solution of y = 4 x + 23 ?
−3K 2t − 5t 3
for
Graph the equation use at least 3 points.
99.
y = 3x − 1
100.
y = −2 x
GOOD LUCK!
Dear students: The above problems are just some sample review questions. For more practice please refer to your
textbook.
F.Nilforoushan
Answers
1.
3.
5.
7.
9
11.
13.
15.
17.
19.
21.
23.
25.
27.
29.
31.
33.
35.
37.
39.
41.
43.
45.
47.
49.
51.
53.
55.
57.
59.
61.
63.
3 terms
−1
−4
−20
9
−21
−24
1
−16
−8
−4
3
undefined
24
−21
−40
−1
10 x + 7
−4 y
12x
3x + 12
13 x − 29
m = −16
y = −1
y = −3
a =8
x=6
y =1
7 feet
22
AM : 80,000, FM : 20,000
width = x , lenght = 2 x − 4
2.
4.
6.
8.
10.
12.
14.
16.
18.
20.
22.
24.
26.
28.
30.
32.
34.
36.
38.
40.
42
44.
46.
48.
50.
52.
54.
56.
58.
60.
62.
11and x
−18
−4
−9
35
60
−1
16
−8
8
−5
0
0
−9
−50
−4
−5
− x − 10
−3m − 5 x
−6 xy
5 y − 10
5p − 5
x = −6
a =1
m = −12
W = −7
x = −10
y = −8
29
Nec.cos t $596, Ring cos t $3100
Biked 13 mi, Jogged 5 mi
Answers
64.
4B − 1
76.
78.
1
3
20 − 3 x
5x
11
50
12
6y + 4
7
2
m=
3
x=4
x=4
80.
62.5%
82.
C ≈ 25.12 ft , A ≈ 50.24 ft 2 ,
84.
2
86.
b8
432 x14
−9 x 2 − 5 x + 8
3y3 − 6 y
−35.238
66.
68.
70.
72.
74.
88..
90.
92.
94.
2
correct
4 3
in
21
65.
−3b
4a 9
67.
−4
69.
71.
73.
1
40x 2
7
30
−11
24
2
15
x = −35
75.
x = −1
77.
79.
3193 homes
81.
P = 30
83.
2
11 ft 2
3
85.
y8
87.
9 x6 y 4
4a 2 − 10a − 2
6x2 + 7 x − 3
x2 − 4 x + 4
94
89.
91.
93.
95.
2
2
ft , A = 47 ft 2
3
3
33
64
96.
1
98.
yes
99.
97.
100.