Name: __________________________________________ Period: __________________ Date: __________________
Exam 9 Practice
DIRECTIONS: Read each question carefully and
choose the correct answer.
1. What is the square root of 0.49?
A.
B.
C.
D.
0.02401
0.07
0.2401
0.4
7. Reduce the following fraction to simplest terms.
Assume the denominator cannot equal zero.
2. The quadratic formula is used to solve
x 2  7 x  3  0 . What value should be substituted
for n in the following equation?
7 n
2
A.
B.
C.
D.
13
31
37
73
A.
B.
D.
1 2
x  8  4x ?
2
 2  2 2 and  2  2 2
2  2 2 and 2  2 2
 4  4 2 and  4  4 2
4  4 2 and 4  4 2

9 x 2  3x
1  9x 2
C.
3. What are the roots of 
A.
B.
C.
D.
6. Subtract 10 x 2  11x  12 from 7 x 2  8 x  9 .
 3x 2  19 x  21
A.
 3x 2  19 x  21
B.
 3x 2  19 x  21
C.
3x 2  19 x  21
D.

7
4. Simplify 2 x 2  5 x  41  2 x  7  , where x   .
2
A.
x6
B.
x6
C.
x  6 remainder 1
D.
x  6 remainder 1
8. The volume of a right circular cylinder is r 2 h , and
its surface area is 2r 2  2rh , where r is the radius
and h is the height of the cylinder. What is the ratio
of the volume to the surface area, expressed in
simplified form?
hr
A.
2
1
B.
4
C.
D.
5. Use the laws of exponents to simplify the following
expression.
m 
a b
m ba
A.
m ab a b
B.
m ab a b
C.
m 2a
D.
m0
3
1  3x
 3x
1  3x
3x
1  3x
 6x
1  3x
r 2h
2r 2  2rh
rh
2r  2h
9. What is the solution set for the equation
3x 2  16 x  35  0 ?
A.
 5
7, 
3

B.
5

 7, 
3

C.
5

  7, 
3

D.
 5
7, 
 3
10. Dog food selling for $1.00 per pound is to be mixed
with a high protein blend selling for $3.00 per
pound. How many pounds of the high protein blend
is needed to produce a 50 pound mixture that sells
for $2.00 per pound?
A.
10
B.
20
C.
25
D.
35
11. The first two steps in deriving a solution for
quadratic equations are shown below. Which of the
following equations should be Step 3?
13. A graph of a quadratic function has x-intercepts of
3,0 and  7,0 . Which of the following quadratic
functions could match this graph?
A.
x 2  4 x  21  0
B.
x 2  10 x  21  0
C.
x 2  10 x  21  0
D.
x 2  4 x  21  0
14. A ball is thrown upward at a velocity of 12 feet per
second from a height that is 40 feet above the
ground. The height A (in feet) of the ball at time t
(in seconds), after it is thrown, can be found by the
formula below.
h  12t 2  14t  40
Find the time, in seconds, when the ball is again 40
feet above the ground.
A.
1
B.
7
6
C.
2
D.
11
6
Step 1 : ax 2  bx  c  0
Step 2 : ax 2  bx  c
Step 3 :
A.
B.
C.
D.
ax 2  bx  c
a x  bx  c
ax  b  c
b
c
x2  x  
a
a
 
12. What is the solution set of the equation
2x  3x  5x  4x  16 ?
A.
B.
C.
D.
 2,4
 2,4
2,4
2,4
15. Which of the following shows
3x  22 y  2  3x  2 y  written in factored
form?
A.
3x  2 y  2
B.
3x  2 y  2
C.
3x  22
D.
3x  2 y 
2x 4  x3  6x 2
16. Simplify
. Assume the denominator
2x 2  7 x  6
cannot equal zero.
A.
x3  2x 2
x2
B.
x3  2x 2
x2
C.
D.
x2
x2
x2
17. What is the graph of the equation y  x 2  4 x  3 ?
8
8
6
6
4
4
2
2
-10
-5
5
10
-10
-5
B.
-8
-8
8
8
6
6
4
4
2
2
5
10
-10
-5
-2
-2
-4
-4
-6
-6
C.
-8
10
-6
-6
-5
5
-4
-4
-10
10
-2
-2
A.
5
D.
-8
18. Simplify the following expression. Put your answer
in simplest form.
3w 4 w
w

4
3
7w
A.
12
19w
B.
12
w
C.
12
5w
D.
12
19. The area of the trapezoid below can be found by the
1
formula A  hb1  b2  .
2
The area of this trapezoid is 28 square inches. If
b1  h and b1  h  6 , find the length of h in inches.
A.
3
B.
4
C.
7
D.
10
20. Ron can rake and bag the leaves in his backyard in
4 hours, while his brother Mark can do the same job
in 6 hours. How many hours will it take them to
rake and bag the leaves in their backyard if they
work together?
5
A.
12
B.
2
2
2
C.
5
D.
7
21. What is the cube root of
A.
8
B.

C.
D.
1
8
8
1
8
1
?
512
22. An equation in the form ax 2  bx  c  0 is solved
by the quadratic formula. The solution to the
equation is shown below. What are the values of a,
b, and c in the quadratic equation?
 3  41
2
a  1, b  3, c  8
A.
a  1, b  3, c  8
B.
a  1, b  3, c  8
C.
a  1, b  3, c  8
D.
23. A rectangle has a length of x inches and a width 4
inches less than the length. If the dimensions were
tripled, what would be the area of the new rectangle
in terms of x?
A.
3x  4
B.
3x  12
3 x 2  12 x
C.
9 x 2  18 x
D.
24. Solve 3 x 2  4 x  5  0 . The answer must be in
simplest form.
 2  19
A.
3
2  19
B.
3
 2  17
C.
3
2  17
D.
3
w
2

. Assume the denominator
w 4 w2
cannot equal zero.
w4
A.
w2  4
w4
B.
w2  4
w4
C.
w2  4
w4
D.
w2  4
25. Simplify
2
26. The graph of which of the following equations has
x-intercepts of -9 and 0?
y  x9
A.
B.
C.
D.
y2  9y  x
y  x 2  9x
y  x 2  9x
27. A ball is thrown in the air. The relationship between
the time the ball is in the air in seconds (t) and the
height of the ball in feet above the ground (h) is
represented by h  12t 2  34t  6 . How many
seconds will it take for the ball to hit the ground?
1
A.
6
1
B.
2
C.
3
D.
6
28. What number should be added to both sides of the
equation below to solve the equation by completing
the square?
1
x2  x  8
3
2
A.
3
1
B.
3
1
C.
6
1
D.
36
29. Kurt has a collection of 1035 United States and
Canadian stamps. He has 3.5 times as many United
States stamps as Canadian stamps. How many
United States stamps does Kurt have in his
collection?
A.
230
B.
575
C.
805
D.
1035
30. If the sum of x and y is 35 and y is 4 more than three
times x, which of the following systems of
equations could be used to solve for x and y.
x  y  35
A.
y  3x  4
x  y  35
B.
y  3 x  4
x  y  35
C.
y  3 x  12
x  y  35
D.
y  3 x  12
31. An object is thrown upward. The height of the object after being thrown can be modeled by the equation
h  4t 2  48t , where h is the height above the ground in meters and / is the time in seconds.

At what time(s) would the object be located at 140 meters above the ground? Show your work.

Sketch the graph of the equation on the grid below. Be sure to include the intercepts.
150
140
130
120
110
100
90
80
70
60
50
40
30
20
10
0

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Is the maximum height of the object greater than, less than, or equal to 75 meters? Explain your answer.