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WorksheetsGrade 9 Exam Review
Total questions: 40
Worksheet time: 3hrs 52mins
Name
Class
Date
1.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
2.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
3.
Simplify:
3a(5a2 + 8a + 2)
3a(5a2 + 8a + 2)
a)
15a3 + 24a2 + 6a
b)
10a3 + 24a + 6
c)
8a3 + 11a2 + 6a
d)
15a2 + 24a + 6
4.
Simplify:
3x3(2x2 + 9x + 6)
3x3(2x2 + 9x + 6)
a)
6x6 + 27x3 + 18x
b)
6x3 + 18x2 + 9
c)
6x5 + 27x4 + 18x3
d)
6x6 + 45x3
5.
Divide:
(9x2 + 6x) ÷ 3x
(9x2 + 6x) ÷ 3x
a)
3x + 2
b)
3x2 + 2x
c)
5x2
d)
3x + 6
6.
Simplify this expression.
a)
-5x10
b)
4x4 + 18x6
c)
-6x4 + 16x2
d)
4x4 - 9x2
7.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
8.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
9.
Simplify (7a2)(5a6b)2
a)
35a14b2
b)
175a12b2
c)
175a14b2
d)
35a14b
10.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
11.
Simplify (-5.7)0
a)
1
b)
0
c)
-1
d)
-5.7
12.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
13.
Find the total surface . ?
a)
10.30cm2
b)
130cm3
c)
144cm2
d)
130cm2
14.
What is the total surface area of the triangular prism shown?
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
15.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
16.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
17.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
18.
A line that touches a circle in just one point.
a)
tangent
b)
chord
c)
secant
d)
radius
19.
The measure of the inscribed angle is 36 degrees. What is the measure of the central angle of that inscribed angle?
a)
18
b)
36
c)
48
d)
72
20.
Find x
a)
10
b)
5
c)
18
d)
9
21.
Find the radius r
a)
2
b)
3
c)
4
d)
5
22.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
23.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
24.
If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?
a)
300
b)
4.8
c)
3
d)
4
25.
What is the scale factor?
a)
4
b)
.25
26.
Find the volume of the figure.
a)
100 cm³
b)
91 cm³
c)
819 cm³
d)
550 cm³
27.
The table below shows the number band-aids in each box. Based on the pattern in the table, which number sentence can be used to find the number of boxes 60 band-aids can contain?
a)
3-2=1
b)
60-45=15
c)
60÷15=4
d)
30+45=75
28.
a)
7/6
b)
-7/6
c)
11/6
d)
-11/6
29.
Laney pays $0.99 for each song she downloads from the Internet. In total, she paid $24.75 for songs from the Internet. How many songs does Laney download?
a)
20 songs
b)
25 songs
c)
30 songs
d)
35 songs
30.
Solve the equation:
½ (2x + 6) = 3x + 13
½ (2x + 6) = 3x + 13
a)
no solution
b)
x = 8
c)
x = -5
d)
x = 7
31.
½x + ⅓x = 5
a)
x = ⅕
b)
x = 1
c)
x = 5
d)
x = 6
32.
Solve the equation:
3x - x + 4 = 4(2x +1)
3x - x + 4 = 4(2x +1)
a)
no solution
b)
infinite solutions
c)
x = 6
d)
x = 0
33.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
34.
4x + 3 < -1
a)
x < -1
b)
x < 1
c)
x < 2
d)
x > 4
35.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
36.
The manager of a book store surveys people who buy mystery novels to see if the store should expand its hours. What is the population?
a)
People who visit the bookstore.
b)
People who buy mystery novels.
c)
Residents of the town
d)
People who like to read.
37.
Darrien surveys 60 of the actors theater class. He concludes that 8 out of 15 actors have previous acting experience. How many actors would you expect to have experience out of 30?
a)
8 actors
b)
16%
c)
8%
d)
16 actors
38.
Determine the type of sampling used in the following scenario: If every individual in a population has the same chance of being included in a sample, the sample is a(n) _________ sample.
a)
Biased Sample
b)
Convenience Sample
c)
Random Sample
d)
Stratified Sample
39.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
40.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
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