WorksheetsAlgebra and Geometry
Total questions: 70
Worksheet time: 4hrs 48mins
Name
Class
Date
1.
7g + 5 + 6g - 3
a)
13g - 3
b)
12g + 5
c)
13g + 2
d)
13g - 2
2.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
3.
3+2c-4c-9+11c
a)
-9c+6
b)
12+3c
c)
9c-6
d)
-12-3c
4.
Solve:
7x + 19 = -2x + 55
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
5.
Solve:
2(2x + 3) = -6(x + 9)
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
6.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
7.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
8.
Find the value of p
a)
2
b)
3
c)
7
d)
21
9.
Find the value of x
a)
1.5
b)
2.5
c)
3.5
d)
4.5
10.
What shape has 3 sides?
a)
triangle
b)
square
c)
circle
d)
hexagon
11.
Name this shape:
a)
triangle
b)
quadrilateral
c)
square
d)
pentagon
12.
Name this 3D shape:
a)
square
b)
diamond
c)
cube
d)
rectangle
13.
Calculate the area of the figure.
a)
126 ft2
b)
39 ft2
c)
156 ft2
d)
80 ft2
14.
What is the Area of this shape?
a)
72 cm2
b)
34 cm2
c)
36 cm2
d)
74 cm2
15.
What is the volume this shape?
a)
120 in3
b)
2160 in3
c)
41 in3
d)
3320 in3
16.
What is the circumference?
a)
50.24
b)
96
c)
24
d)
16
17.
What is the name of this figure?
a)
cylinder
b)
cone
c)
square pyramid
18.
What is the name of this figure?
a)
pyramid
b)
triangle
c)
square pyramid
d)
rectangular pyramid
19.
What is the name of this figure?
a)
sphere
b)
cone
c)
cylinder
d)
can
20.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
21.
What is this formula used to find?
V=πr2h
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
22.
Find the volume of the 3Dimensional shape
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
23.
Find the volume.
a)
13680 m3
b)
684 m3
c)
1140 m3
d)
228 m3
24.
Find the volume of a HEMIsphere with a radius of 4.
a)
85.3π
b)
62.67π
c)
42.67π
d)
8π
25.
What is the volume of the composite solid?
a)
301.6 cm3
b)
502.7 cm3
c)
268.1 cm3
d)
167.6 cm3
26.
Each side of this ice cube measures 2 inches. What is the volume of the ice cube?
a)
6 cubic inches
b)
8 cubic inches
c)
12 cubic inches
d)
8 square inches
27.
How many faces?
a)
2
b)
1
c)
3
d)
0
28.
Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
29.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
30.
Find the volume.
a)
1112.3
b)
1343.4
c)
1423.2
d)
1500.6
31.
Find the Volume of the composite figure.
a)
2400 ft3
b)
1920 ft3
c)
4128 ft3
d)
2112 ft3
32.
Which shape has 7 faces?
a)
b)
c)
d)
33.
Expand and simplify 2x - (3x - 2)
a)
x + 2
b)
-x - 2
c)
-x + 2
d)
x - 2
34.
Expand and simplify (x + 3)(x - 3)
a)
x2 + 6x - 9
b)
x2 - 6x - 9
c)
x2 - 9
d)
x2 + 9
35.
Factorise 11x + 121xy
a)
x( 11 + 121y)
b)
11(x + 11xy)
c)
11x(0 + 11y)
d)
7x(1 + 11y)
36.
Factorise x2 - 36
a)
(x - 6)2
b)
(x + 6)(x - 6)
c)
x2 - 62
d)
(x + 6)2
37.
In which of the following, is E the subject of the formula?
a)
E = L ⁄ 5E
b)
2E = bh
c)
E = mc2
d)
E2 = u2 + 2as
38.
(m + n)2 can be expressed as
a)
m + n2
b)
2 (m + n)
c)
m2 + n2
d)
(m + n) (m + n)
39.
Which of the following is true?
a)
(a-b)2 = a2 - b2
b)
(a + b)2 = a2 + 2ab + b2
c)
(a - b)2 = a2 - 2ab - b2
d)
(a + b) (a - b) = a2 - 2ab + b2
40.
A rectangle is r cm long, s cm wide and has an area of P cm2. Express P in terms of r and s.
a)
P = rs
b)
P = r ∕ s
c)
P = 2rs
d)
P = (rs)2
41.
(2p + 3q)(p − 6q)
a)
2p2 − 12pq + 3pq − 18q2
b)
2p2 − 12pq + p − 6q
c)
2p + 3q + p − 6q
d)
2p + 3pq − 18q2
42.
Given T = 4k.
Make k as the subject.
a)
T/4
b)
4T
c)
4+T
d)
T - 4
43.
p = 2m - n
Express m in terms of n.
a)
(p + n)/2
b)
(p - n)/2
c)
(n - p)/2
d)
2(p + n)
44.
Greater than
a)
<
b)
>
c)
≤
d)
≥
45.
Less Than
a)
<
b)
>
c)
≤
d)
≥
46.
Less than or equal to
a)
<
b)
>
c)
≤
d)
≥
47.
Greater than or equal to
a)
<
b)
>
c)
≤
d)
≥
48.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
49.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
50.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
51.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
52.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
53.
-12y - 11 < 49
a)
y < -5
b)
y > - 5
c)
y > 5
d)
y < 5
54.
Which graph represents the inequality 6 > x
a)
A
b)
B
c)
C
d)
D
55.
Pick the correct inequality.
a)
x < -6
b)
x ≥ -6
c)
x > -6
d)
x ≤ -6
56.
When graphing an inequality, you use an OPEN dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
57.
Match the graph with the given solution.
a)
A
b)
B
c)
C
d)
D
58.
Which inequality matches the graph?
a)
x<3
b)
x>3
c)
x<3
d)
x>3
59.
When the following inequality is graphed, what will it look like?
y<5
a)
open circle
b)
closed circle
60.
Write 62 x 63 as a single power
a)
7776
b)
66
c)
65
d)
365
61.
Write 95 ÷ 93 as a single power
a)
92
b)
98
c)
915
62.
(3x2y3)2
a)
9x4y6
b)
3x4y5
c)
6x4y6
d)
9xy
63.
Simplify.
a)
A
b)
B
c)
C
d)
D
64.
a)
y4
b)
y5
c)
y6
d)
6y
65.
a)
x2
b)
x6
c)
x5
d)
x-6
66.
a)
a7
b)
a1
c)
1/a12
d)
a12
67.
a)
3y6
b)
6y3
c)
4y6
d)
3y4
68.
a)
3
b)
9
c)
12
d)
6
69.
a)
1
b)
1/x
c)
x
d)
x-11
70.
Simplify the following
32 x 25 x 36 x 28
32 x 25 x 36 x 28
a)
38 x 212
b)
312 x 28
c)
38 x 213
d)
28 x 3 12
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