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Sub/Ops, Mean, Median, Mode, Perimeter, Line Seg Review

Total questions: 46

Worksheet time: 2hrs 38mins

Name
Class
Date
1.

Gatlin's Hardware pays for the electricity it uses with a flat monthly fee of $200 plus $12 for every 100 units of electricity used. Last month, the store used 1,200 units of electricity. What was the total cost of electricity for Gatlin's last month?

(a)  

2.

If x = 1, what is the value of

(2 - x)(4 - x)

(a)  

3.

Substitute in for the given variables, then solve for what is unknown.

a)

x = 7

b)

x = -1

c)

x = 6

d)

x = -5

e)

x = 13

4.

Substitute in for the given variables, then solve for what is unknown.

a)

x = -1

b)

x = -12

c)

x = 14

d)

x = 9

e)

x = 6

5.

Substitute in for the given variables, then solve for what is unknown.

a)

x = -10

b)

x = 6

c)

x = 0

d)

x = -4

e)

x = -6

6.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a2 + c2   
a)
22
b)
34
c)
68
d)
43
7.
Work out the value of the expression when x = 3, y = – 2 and z = – 4.
2x2 + z2   
a)
2
b)
27
c)
50
d)
34
8.

If, f=-3, g=-5, and h=7, what does (f + g + h)(2f + h) equal?

a)

-13

b)

-11

c)

-1

d)

11

9.


y=−6y=-6   Solve by the system by using substitution.
−6x+5y=−12-6x+5y=-12  

a)

( 3, 6)

b)

(-6 , -3)

c)

(-3 , -6)

d)

(-1 , 1)

10.

Erin opened 3 packets of flower seeds. Each packet contained 100 seeds. On her way out to the garden to plant them, Erin tripped and spilled 25 rose seeds, 32 mum seeds and 56 jasmine seeds. How many seeds did Erin have left altogether?


What is the solution?

a)

187

b)

100

c)

3

d)

56

11.

Josh had $221 to spend on 9 shirts. After buying them he had $14 left. How much did he spend on each shirt?

a)

$19

b)

$21

c)

$18

d)

$23

12.
On Monday, three hundred sixty - one students went on a trip to the zoo. All seven buses were filled and four students had to travel separately. How many students were in each bus? 
a)
357
b)
51
c)
40
d)
45
13.
Keith bought a soft drink for 2 dollars and 6 candy bars. He spent a total of 14 dollars. How much did each candy bar cost? 
a)
$12
b)
$6
c)
$2
d)
$3
14.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
15.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
16.
Find the median.
12, 5, 9, 18, 22, 25, 5
a)
9
b)
8
c)
12
d)
18
17.
Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4
a)
9
b)
5
c)
3
d)
7
18.
Find the mean:
28, 18, 19, 18, 17
a)
20
b)
18
c)
11
d)
19
19.

Find the mode of this data set:

67, 74, 95, 98, 98, 99, 102

a)

90.4

b)

35

c)

92

d)

98

20.

What is the mean of the data set:

0, 0, 0, 5, 15

a)

0

b)

4

c)

5

d)

15

21.

What is the median of the data set:

0, 0, 0, 5, 15

a)

0

b)

4

c)

5

d)

15

22.

What is the range of the data set:

0, 0, 0, 5, 15

a)

0

b)

4

c)

5

d)

15

23.

What is the mode of the data set:

0, 0, 0, 5, 5, 5, 15

a)

0

b)

5

c)

0 AND 5

d)

There is no mode

24.
Lizzy had test scores of:   72, 94, 108, 60
What is the RANGE of her test scores?
a)
12
b)
72
c)
48
d)
98
25.
What is the mode in this set of numbers:
7, 14, 20, 3, 7, 14, 2, 14, 7
a)
7
b)
20
c)
7 & 14
d)
none of the above
26.

Find the median from the list of numbers:

60, 58, 52, 48, 60, 67

a)

58

b)

59

c)

60

d)

118

27.
Find the median.
7, 1, 1, 7, 1, 4, 1
a)
4
b)
7
c)
1
d)
5
28.
Find the mean.
90, 100, 95, 85, 60, 80
a)
85
b)
84
c)
86
d)
90
29.
Find the range.
5, 15, 10, 20, 15, 10, 15
a)
5
b)
10
c)
15
d)
13
30.
The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
31.
The heights of some students are given.
158cm     172cm      164cm
164cm     167cm      159cm
 What is the range of the heights?
a)
13cm
b)
14cm
c)
164cm
d)
330cm
32.

The Summerdale Community Council is planning the renovation of a park in the center of the town. The park will be a rectangular region of 85 feet by 175 feet with an area of 14,875 square feet. There will be a wooden fence along the perimeter of the park. What is the total length of the fence, in feet?

a)

250

b)

340

c)

410

d)

480

e)

520

33.

The length of a rectangle is 8 inches longer than its width. If the perimeter of the rectangle is 36 inches, what is the width, in inches?

a)

13

b)

10

c)

5

d)

4

e)

3

34.

The figure is composed of equilateral triangle ABD and another equilateral triangle BCD. The length of line AD is 12 inches. What is the perimeter of figure ABCD?

a)

12

b)

24

c)

44

d)

48

e)

60

35.

A certain square has the same perimeter as a regular pentagon (a 5-sided polygon with all sides and interior angles congruent). If 1 side of the pentagon is 72 millimeters, how long is 1 side of this square?

a)

45

b)

60

c)

75

d)

90

e)

135

36.

This polygon, whose side lengths are given in meters, has 2 unknown sides. Each angle between adjacent sides measure 90 degrees. What is the polygon's perimeter, in meters?

a)

44

b)

62

c)

80

d)

158

e)

234

37.

Joseph is constructing a rectangular fence for his garden. A diagram of the fence is shown. Which of the following expressions gives the perimeter of Joseph's fence?

a)

3x + 5

b)

3x + 10

c)

6x + 10

d)

6x + 20

e)

2x squared + 11x - 6

38.

Points A, B, C, and D lie on a line in the given order. Point C is the midpoint of line BD, line AC is 10mm long, and line AD is 15mm long. How many millimeters long is line BD?

a)

5

b)

8

c)

10

d)

12

e)

15

39.

Justin is centering a mosaic on his bedroom wall. As shown in the figure, the rectangular wall is 28 feet in length, and the mosaic is 3 feet in height and 6 feet in length. The right edge of the mosaic will be y feet from the right edge of the wall, and the left edge of the mosaic will also be y feet from the left edge of the wall. What is the value of y, in feet?

a)

9

b)

10

c)

10.5

d)

11

e)

12.5

40.

For the line segment, the ratio of the length of XY to the length of YZ is 1:6. If it can be determined, what is the ratio of the length of XY to the length of XZ?

a)

1:5

b)

1:7

c)

3:1

d)

7:1

e)

Cannot be determined from the given information

41.

A triangle ABC has a perimeter of 53 centimeters with a side that is 18 centimeters long. The lengths of the remaining two sides have a ratio of 3:4. What is the length, in centimeters, of the shortest side of the triangle?

a)

15

b)

18

c)

20

d)

36

e)

40

42.

On the line segment, the ratio of the length of TU to the length of UV is 4:7. If it can be determined, what is the ratio of the length of TU to the length of TV?

a)

1:7

b)

2:11

c)

4:11

d)

11:4

e)

Cannot be determined from the given information

43.

Points X and Y lie on line WZ. The length of WZ is 36 inches; WY is 16 inches long; and XZ is 28 inches long. How many inches long, if it can be determined, is XY?

a)

4

b)

8

c)

12

d)

16

e)

Cannot be determined from the given information

44.

In the figure, each pair of intersecting line segments meets at a right angle, and all lengths are given in millimeters. What is the perimeter, in millimeters, of the figure?

a)

80

b)

88

c)

96

d)

102

e)

116

45.

Quadrilateral WXYZ is in the standard (x,y) coordinate plane. For this quadrilateral, WZ = 7, YZ = 6, XY = the square root of 53, and WX = 8, all in coordinate units. Which of the following is closest to the perimeter of quadrilateral WXYZ, in coordinate units?

a)

22.6

b)

25.7

c)

28.3

d)

31.4

e)

35.8

46.

The perimeter of a parallelogram is 76 inches, and the measure of 1 side is 17 inches. What are the lengths of the 3 remaining sides?

a)

17, 17, 17

b)

17, 17, 42

c)

17, 20, 20

d)

17, 21, 21

e)

Cannot be determined from the given information