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Intermediate Mathematics Final

Total questions: 58

Worksheet time: 5hrs 50mins

Name
Class
Date
1.

-8+20

a)

12

b)

28

c)

-28

d)

-12

2.

-25+10

a)

15

b)

-15

c)

35

d)

-35

3.

-40+80

a)

-40

b)

-120

c)

120

d)

40

4.
-9 x -9=
a)
0
b)
16
c)
-81
d)
81
5.
 -5 x 5=
a)
-10
b)
10
c)
25
d)
-25
6.
-3 x 5=
a)
-7
b)
7
c)
15
d)
-15
7.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

8.
Which graph matches the inequality 
x < -1.1?
a)
A
b)
B
c)
C
d)
D
9.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
10.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
11.

What inequality is graphed here?

a)

-8 > x ≥ -4

b)

-8 < x ≤ -4

c)

-8 ≤ x < -4

d)

-8 ≥ x > -4

12.

Which equation will solve this word problem?

The sum of two consecutive numbers is 23. What are the numbers?

a)

x + 1 = 23

b)

x + x + 1 =23

c)

x + x = 23

d)

x + y = 23

13.

The sum of two consecutive numbers is 23. What are the numbers?

a)

10 and 11

b)

13 and 14

c)

12 and 13

d)

11 and 12

14.

Which equation will solve this word problem?

Sam has 3 less than twice as many pencils as Bill. If Sam has 11 pencils how many does Bill have?

a)

2B - 3 + B = 11

b)

2S + 3 = 11

c)

2B - 3 = 11

d)

S23 = 11\frac{S}{2}-3\ =\ 11  

15.

Sam has 3 less than twice as many pencils as Bill. If Sam has 11 pencils how many does Bill have?

a)

7

b)

11

c)

28

d)

16.

8\sqrt{8}  has an index of _________?

a)

1

b)

2

c)

3

d)

4

17.

16,200

a)

1.62 ×104\times10^4

b)

1.62 ×102\times10^2

c)

16.2 ×103\times10^3

d)

16.2 ×102\times10^2

18.

0.62

a)

6.2  ×102\times10^{-2}

b)

6.2 ×101\times10^{-1}

c)

6.2  ×101\times10^1

d)

62  ×102\times10^2

19.

A small number written in scientific notation has a power of 10 with a _____________ exponent

a)

negative

b)

positive

20.

5xy(6x - y)

a)
11x2 - y2
b)
30x2 + y2
c)
30x2y - 5xy2
d)
11x2y + 5x2y2
21.

How many terms are in this expression? 2y + 5y 3x + 3z2y\ +\ 5y\ -3x\ +\ 3z  

(a)  

22.

8a2x4ax\frac{8a^2x}{4ax}  =

a)

4a

b)

2a

c)

2ax

d)

4ax

23.

3x29x5\frac{3x^2}{9x^5}  =

a)

6x36x^3  

b)

3x33x^3  

c)

16x3\frac{1}{6x^3}  

d)

13x3\frac{1}{3x^3}  

24.

(b4)(b6)\left(b^4\right)\left(b^6\right)  

a)

b10b^{10}  

b)

b24b^{24}  

c)

2b102b^{10}  

d)

2b242b^{24}  

25.

The probability that Hamid qualifies for the final of a track event is  \frac{2}{5} while the probability that Mohan qualifies is  \frac{1}{3} . Find the probability that both of them qualifies for the final.

a)

25\frac{2}{5}  

b)

13\frac{1}{3}  

c)

25+13\frac{2}{5}+\frac{1}{3}  

d)

25×13\frac{2}{5}\times\frac{1}{3}  

26.
A store sells shirts that are either small, medium, or large. The colors are either red, blue, green, or white. What is the probability someone will select a large green shirt?
a)
1/3
b)
1/7
c)
1/9
d)
1/12
27.

A box has 3 limes, 5 grapes, and 2 oranges.

P (grape)

a)

55\frac{5}{5}  

b)

53\frac{5}{3}  

c)

12\frac{1}{2}  

d)

Answer Not Here

28.

The sum of a group of probabilities should always equal

a)

1

b)

0

c)

10

d)

100

29.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
30.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
31.

What is the median of: 6, 12, 11, 8, 4, 1, 11, 4

a)
11
b)
6
c)
8
d)
7
32.

What is the mode of: 6, 12, 8, 4, 1, 11, 4

a)
11
b)
6
c)

4

d)
7
33.

data values compared over time

a)

stacked bar graph

b)

histogram

c)

bar graph

d)

line graph

e)

stem and leaf plot

34.

the difference between the smallest and largest values

a)

range

b)

outcome

c)

outlier

d)

mode

35.

the origin

a)

(2,2)

b)

(0,0)

c)

(-1,-1)

d)

(-2,-2)

36.

m=riserunm=\frac{rise}{run}  

a)

direct variation

b)

slope intercept form

c)

slope

37.

What are the coordinates of point L?

(a)  

38.

What are the coordinates of point N?

(a)  

39.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
40.
2 < 6z - 10 < 20
a)
-2 < z < -5
b)
z > 2 or z < 5
c)
2 > z > 5
d)
2 < z < 5
41.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 17
d)
x ≤ 10
42.

shows how part of the data relates to the whole

a)

circle graph

b)

histogram

c)

bar graph

d)

line graph

e)

stem and leaf plot

43.
8 - 5b = -7
a)
3
b)
-3
c)
4
d)
1
44.

Solve for x:

x34=1\frac{x}{3}-4=1  




(a)  

45.

Solve this:  x267 = 3x^2-67\ =\ -3  

a)

±8\pm8  

b)

±12\pm12  

c)

±14\pm14  

d)

±15\pm15  

46.

27=16x\frac{2}{7}=\frac{16}{x}  

(a)  

47.

3/5 + 3/10

a)

9/12

b)

9/10

c)

3/5

d)

6/10

48.

5/12 + 1/3

a)

6/12

b)

9/12

c)

6/15

d)

3/4

49.
How much tip money would you need to leave for 20% on a $30 meal?
a)
$4.00
b)
$6.00
c)
$8.00
d)
$3.00
50.
What is 12% of 40?
a)
4.2
b)
4
c)
4.8
d)
5
51.
What is 75% of 48?
a)
27
b)
41
c)
32
d)
36
52.
2/5  ÷ 3/4
a)
8/15
b)
6/20
c)
3/10
d)
3/20
53.

What is a parallelogram with 4 right angles?

a)

rectangle

b)

rhombus

c)

quadrilateral

d)

trapezoid

54.

Which of the following classifications applies to -2.4

a)

integer

b)

counting number

c)

all of these

d)

negative number

55.

You need at least ______ points to graph a line

a)

1

b)

2

c)

3

d)

4

56.

What is the input variable in y = 3x-2?

a)

-2

b)

3

c)

y

d)

x

57.

What is the output variable in y = 3x-2?

a)

-2

b)

3

c)

y

d)

x

58.

What is the supplementary angle to 50°50\degree  ?

a)

40°40\degree  

b)

50°50\degree  

c)

130°130\degree  

d)

210°210\degree