Name:
Diagnostic Test
Choose the best answer.
1. A movie company is surveying
people about their favorite type of
movie. Which of the following is a
random sample?
A all students who go to the movies
B teenagers waiting on line at the
movie theater
6. Evaluate the expression x  y for
x  19 and y  6.
F 25
H 13
G 13
J 25
7. Combine like terms in the expression
4a2  5  3a2.
A a2  5
B 7a2  5
C 100 names randomly selected
from the phone book
C 6a2
D people leaving a movie theater
D a5
2. The stem-and-leaf plot shows
Mandy’s math test scores. What is
the mean of her test scores?
8. What are the coordinates of the point
that is 3 units left and 5 units up from
the origin?
F
G
 3, 5 
 3, 5 
H
J
 3,  5 
 3,  5 
9. In which quadrant would you find the
point (5, 6)?
A Quadrant I
F 88
H 85
B Quadrant II
G 87
J 84
C Quadrant III
3. What is the median for the set of
data?
15, 19, 22, 24, 26, 28, 32, 32, 30
A 15
C 26
B 25.33
D 32
4. Evaluate 48  (2  6) • 2  1.
F 2
H 19
G 11
J 59
5. Which expression is equivalent to “5
times the difference between a
number and 14”?
A 5(n  14)
C n  14  5
B 5n  14
D
n  14
5
D Quadrant IV
10. What is the direct variation equation
for the data in the table?
Cost (y)
Pound (x)
6
2
9
3
12
4
15
5
1
x
3
F y  3x
H y
G y  3x
1
J y  x
3
11. What is the slope of the line that
passes through the points (2, 5)
and (3, 3)?
A 8
C 8
B 2
D 2
12. Which group of numbers is in order
from least to greatest?
F 0.2, 0.21,
G
1
4
7
5
 . Give the answer in
8
6
simplest form.
16. Subtract
F 1
17
24
1
1
J
20
24
17. Which pair of ratios is NOT
proportional?
A
16
24
and
18
27
1
4
B
30
6
and
45
9
C
6
8
and
15
20
1
, 0.21
4
13. A piece of rope is 5.4 meters long. Art
cuts off a piece that is 2.61 meters
long. How much of the rope is left?
J 0.2,
A 2.79 m
C 3.21 m
B 2.81 m
D 6.01 m
14. A spool of lanyard is 20 yards long.
If it is cut into pieces that are each
1.25 yards long, how many pieces
of lanyard will there be?
F 4 pieces
H 16 pieces
G 12 pieces
J 25 pieces
4
7
15. What is the value of 2 
?
10
5
25
C
49
A 4
B 1
24
25
D
1
4
1
7
G 1
1
, 0.2, 0.21
4
H 0.21, 0.2,
H
15
20
and
24
21
18. A waffle recipe uses 3 cups of mix for
4 waffles. How much mix would you
need to make 12 waffles?
D
F 12 c
H 8c
G 9c
J 6c
19. The cost for 3.25 pounds of coffee
beans is $19.14. What is the cost of
1 pound of coffee beans?
A $5.89
C $6
B $5.98
D $62.20
20. On a map, the distance between two
towns is 3.4 inches. The map scale is
2 in : 25 miles. What is the actual
distance between these towns?
F 7.35 miles
H 42.5 miles
G 14.7 miles
J 85 miles
21. Solve
A 2
B 4
26. What is the measure of Ð5 ?
1
3
x 1 .
3
5
4
5
C 5
4
5
D 5
2
5
1
5
1
22. What is
written as a percent?
16
F 0.16%
H 6.25%
G 1.6%
J 62.5%
23. Dana wants to invest $3,000 at 5%
simple interest. How many years will
it take for the total amount in her
account to reach $4,500?
A 5 yr
C 15 yr
B 10 yr
D 20 yr
F 20°
H 70°
G 110°
J 30°
27. What is the sum of the interior angles
of a quadrilateral?
A 360°
C 90°
B 180°
D 45°
28. Solve
m
 8.
6
F −48
H 48
G −14
J 
3
4
29. Find the perimeter of the polygon.
24. What geometric figure extends
indefinitely in two directions?
F point
H line segment
A 8.2 ft
C 16.8 ft
G plane
J line
B 12.5 ft
D 25 ft
Use the figure for 25-26. Line AB is
parallel to line CD.
30. What is the volume of a rectangular
prism that is 12 inches long, 7 inches
wide, and 10 inches high?
F 840 in3
H 190 in3
G 420 in3
J 84 in3
31. Find the surface area, to the nearest
tenth, of a cylinder with a radius of
3 cm and a height of 7 cm. Use
3.14 for .
25. What is the measure of Ð2 ?
A 20°
C 70°
B 110°
D 30°
A 131.9 cm2
C 160.1 cm2
B 197.8 cm2
D 188.4 cm2
32. A bag contains 4 blue marbles,
3 yellow marbles, 6 red marbles, and
5 green marbles. Which color marble
are you most likely to draw?
F blue
H green
G yellow
J red
33. How many different ways can 5
students stand in a row?
A 120
C 1
B 240
D 5
34. What is the probability of picking a
red card from a standard deck of
52 cards?
F
1
13
H
4
13
3
1
J
2
4
35. Solve 6g  7  (14  g).
G
A g  3
C g1
B g  1
D g3
36. What inequality is shown on the
number line?
F x  3 or x  3
G x  3 or x  3
H 3  x  3
J 3  x  3
c
 1.6.
8
A c  7.4
C c  0.2
B c  128
D c  12.8
37. Solve
38. Find the sum −6 + (−7).
F −13
H 13
G −1
J 1