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Worksheets

Math-Eng.Abed Al Rahman Alsheyab

Total questions: 64

Worksheet time: 5hrs 47mins

Name
Class
Date
1.
Fraction of shaded area
a)
2/3
b)
3/5
c)
2/3
2.
What is the least common denominator you could use to subtract 1/3 and 1/4?
a)
3
b)
4
c)
24
d)
12
3.
What is the sum of 1/2 + 1/3 + 1/6?
a)
3/14
b)
3/11
c)
1
d)
6/8
4.
3/12 + 5/12
a)
8/24 = 1/3
b)
15/12 = 1 3/12 = 1 1/4
c)
8/12 = 2/3
d)
2/12 = 1/6
5.
5 1/6 + 4 1/2
a)
9 2/8 = 9 1/4
b)
9 2/6 = 9 1/3
c)
9 1/12
d)
9 4/6 = 9 2/3
6.
5/12 x 8/15.
Express your answer in lowest terms.
a)
40/180
b)
8/36
c)
2/9
d)
4/18
7.
1/4 ÷ 2
a)
1/8
b)
2
c)
8
d)
1/2
8.
a)
13/3
b)
13/27
c)
9/39
d)
3/13
9.
a)
5/7
b)
4/33
c)
8/66
d)
11/48
10.
a)
4/10
b)
2/5
c)
4/7
d)
5/8
11.
a)
3/8
b)
9/24
c)
9/14
d)
7/8
12.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?
a)
75
b)
76
c)
67
d)
77
13.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
14.
Simplify x2y-5
a)
x2/y5
b)
1/x2y5
c)
y5/x2
d)
x2/y-5
15.
Simplify (34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
16.
a)
-6cd
b)
-6cd3
c)
6cd3
d)
6c3d5
17.
a)
3x3
b)
-4x7
c)
-3x7
d)
-3x3
18.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
19.

Simplify (4x5)(3x2)

a)

12x7

b)

12x10

c)

7x7

d)

12x3

e)

7x10

20.

Simplify (-2a2b3)(-6a3b)

a)

-8a5b4

b)

-12a5b4

c)

12a6b3

d)

12a5b4

e)

-8a6b3

21.

Simplify the expression.

a)

8ac

b)

-24abc

c)

-8ac

d)

-8abc

e)

8a9b6c3

22.
change 25% to a decimal
a)
.25
b)
.2
c)
2.5
d)
.025
23.
Find 25% of 200
a)
25
b)
50
c)
100
d)
5
24.
change 3,451% to a decimal
a)
34.51
b)
3.451
c)
.3451
d)
345.1
25.

Olivia completed 85% of the Math questions. She still has 6 questions left. How many questions were there in total?

a)

32

b)

45

c)

50

d)

40

26.
Express each fraction as a percentage
½
a)
20%
b)
25%
c)
30%
d)
50%
27.

A bronze alloy is made by alloying 140kg copper, 20kg of lead, and 40kg of tin. What is the percentage of tin in the alloy?

a)

22%

b)

29%

c)

20

d)

25%

28.

If 20% of the length of a bar is 230mm, what is the complete length (100%)

a)

1150mm

b)

46mm

c)

4600mm

d)

11.5mm

29.

The current flowing through a circuit is increased from 8A to 8.56A. What is the percentage increase in current?

a)

6.6%

b)

93.5%

c)

107%

d)

7%

30.

When 1600 bolts are manufactured, 36 are unsatisfactory. What percentage must be rejected?

a)

2.3%

b)

2.25%

c)

2.2%

d)

2%

31.

A drilling machine should be set to 250 rev/min. The nearest speed available on the machine is 268 rev/min. Calculate the percentage overspeed

a)

107.2%

b)

7.2%

c)

93.3%

d)

6.8%

32.

The power input to an engine is 450kW. If the efficiency of the engine is 75%, what in the power output?

a)

600kW

b)

16.7kW

c)

500kW

d)

337.2kW

33.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
34.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

35.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
36.
What is the correct ratio?
a)
20/12
b)
12/20
c)
12/16
d)
16/12
37.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
38.
a)
A
b)
B
c)
C
d)
D
39.
In slope intercept form (y=mx+b) what is the "m"?
a)
The y-intercept
b)
The x-intercept
c)
The slope (rate of change)
d)
A point
40.
Find the equation of the line in slope-intercept form. 
a)
y = - 1/4x - 3
b)
y = 1/3x + 3
c)
y = - 1/4x + 2
d)
y = 1/3x -3
41.
Solve for x:
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
42.
Solve for x: 
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
43.
Solve for x:
6(2x + 1) = 18
a)
3
b)
17/12
c)
1
d)
2
44.
Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)
a)
3
b)
-3
c)
-5
d)
5
45.
Solve the following 6 problems using substitution:
3x + 5y = 10  x = y + 6
a)
x=5, y= -1
b)
x= -1, y=5
c)
x=4, y= -1
d)
x=3, y=2
46.
-2x + 10y = 64  y = x+4
a)
x=7, y=3
b)
x=3, y=7
c)
x=4, y=6
d)
x=3, y=6
47.
-5x -8y = -29  y= 3x
a)
x= -1, y=3
b)
x=1, y= -3
c)
x=1, y=3
d)
x=2, y=3
48.
Sarah is selling cookies and chips (in bags). Cookies cost $2.50 each, while the chips cost $3.25 each. If Sarah sold 30 items for a total of $84, how much of each did she sell?
a)
10 chips bags, 15 cookies
b)
18 chips bags, 13 cookies
c)
11 chips bags, 18 cookies
d)
12 chips bags, 18 cookies
49.
Solve this system of equations
y=8x-5
y=2x+19
a)
(1,3)
b)
(2.4, 23.8)
c)
(2.5,15)
d)
(4,27)
50.
y = -2x + 18
y = 8
a)
(5, 8)
b)
(-5, 8)
c)
(2, 8)
d)
(-2, 8)
51.
What is the solution to this system?
y= 4x + 3
2x - 3y = 21
a)
(3,-9)
b)
(-3,-9)
c)
(-3,9)
d)
(0,1)
52.
This system has _____ solutions
a)
No
b)
1
c)
2
d)
Infinitely many
53.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
54.
y = −2
4x − 3y =18
a)
(3,-2)
b)
(-2,3)
c)
(2,-3)
d)
(3,3)
55.
a)
(5,-5)
b)
(-5,5)
c)
(5,5)
d)
(1,0)
56.
Simplify    5(2 - 7n) =
a)
 52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
57.
Simplify the expression:
6 + 2(7x - 3) 
a)
14x + 12
b)
14x
c)
14x - 12
d)
56x - 24
58.
Simplify:
5x - 6x - 8x + 7 
a)
-9x + 7
b)
-9x -  7
c)
9x + 7 
d)
9x - 7
59.
-4(-4d - 5) 
a)
16d+20
b)
-16d+20
c)
16d-20
d)
-16d-20
60.
3(2x+1)+2(x-4)
a)
8x-11
b)
8x+11
c)
8x+5
d)
8x-5
61.
3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
62.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
63.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
7x - 11
b)
7x + 11
c)
-3x + 11
d)
3x + 11
64.
5 - 3(5x - 4)
a)
15x + 7
b)
-15x + 17
c)
15x - 7
d)
-15x - 17

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