Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) Solve the quadratic equation by completing the square and applying the square root
property.
x(x - 12) = 38
A) 6 ± 74
B) -6
C)
±4 2
6±4 2
D)
1)
-6 ± 74
2) Solve using the zero product rule.
r2 + 14r - 5 = (r - 1)(r + 6)
A) -
1
9
2)
B) -1; 6
C) -
1 1
;
9 9
D)
1; -6
3) Solve the equation by using the square root property.
(x + 3)2 = 3
A)
-3 ± 3
B) 3
C)
± 3
3)
D)
±6
± 6
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
4) Solve the quadratic equation by completing the square and applying the square
4)
root property.
7 - 3t = 2t2
5) Solve the quadratic equation by completing the square and applying the square
5)
root property.
2x2 + 8x - 7 = 0
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
6) Find the value of n so that the expression is a perfect square trinomial and then factor the
6)
trinomial.
j2 - 6j + n
A)
n = 9; (j - 3)
B) n
= 9; (j - 3)2
C)
n = 3; (j - 3)2
D)
n = 3; (j + 3)2
7) Solve the equation by using the square root property.
c2 = 9
A)
B) There
±3
C) 3
D)
1
4
7)
are no real-valued solutions.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
8) Solve the equation by using the square root property.
5x2 - 35 = 0
8)
9) Solve the equation by using the square root property.
y2 = 121
9)
10) Ignoring air resistance, the distance, d (in meters), that an object drops in t
10)
seconds is given by the equation
d = 4.9t 2
a. Find the distance traveled in 4 sec.
b. Find the time required for the object to fall 44 m. Round to the nearest tenth of
a second.
c. Find the time required for an object to fall from the top of the World Trade
Center if the building is 541 m high. Round to the nearest tenth of a second.
11) Solve the equation by using the square root property.
2n2 + 12 = 36
11)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
12) Solve using the zero product rule.
2q(4q + 9) = -7
7 1
A) - ;
4 2
B) 0; -
12)
9
4
C)
7 1
;
4 2
D) -
7 1
;4 2
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
13) Solve the equation by using the square root property.
3x2 = 27
13)
14) Solve the equation by using the square root property.
(3x - 4)2 = 7
14)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
15) Solve the equation by using the square root property.
t2 = -144
A)
B) ±12
12
C) 13
D)
2
There are no real-valued solutions.
15)
16) Solve the quadratic equation by completing the square and applying the square root
property.
x2 - 5x - 2 = 0
5 ± 29
A)
2
B)
5 ± 33
2
C)
5 ± 33
4
D)
16)
5 ± 29
4
17) Solve using the zero product rule.
(5v - 9)(6v - 7) = 0
9 7
A) - ; 5 6
B)
17)
9 7
;
5 6
C) -
9 7
;
5 6
D)
0
18) Solve the equation by using the square root property.
(2z - 4)2 + 12 = 4
A)
18)
B) 2 2 + 4
There are no real-valued solutions.
C) 4 + 2 2, -4 + 2 2
D) 2 2 - 4
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
19) Solve the quadratic equation by completing the square and applying the square
19)
root property.
4x2 + 2x = 3
20) Solve the equation by using the square root property.
(7x + 9)2 = 100
20)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
21) Solve the equation by using the square root property.
22 1
a-
A)
5
=
21)
25
1
5
B)
1 1
,5 5
C)
3
5
D)
1 3
,
5 5
22) Find the value of n so that the expression is a perfect square trinomial and then factor the
trinomial.
x2 + 10x + n
A)
n = 100; (x + 10)2
B) n
C)
n = 25; (x - 5)2
D)
3
= 25; (x + 5)2
n = 25; (x + 5)(x - 5)
22)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
23) Find the value of n so that the expression is a perfect square trinomial and then
23)
factor the trinomial.
10
t2 t+n
3
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
24) Solve the quadratic equation by completing the square and applying the square root
property.
y2 + 12y - 1 = 0
A) There are no real-valued solutions.
C) 2 + 2 5, 2 - 2 5
24)
B) -6 +
37, -6 - 37
D) -2 + 2 5, -2 - 2 5
25) Find the value of n so that the expression is a perfect square trinomial and then factor the
25)
trinomial.
x2 - 13x + n
A) n =
169
13 2
; x+
4
2
B) n = 169; x - 13 2
C) n =
169
13
13
; x+
x4
2
2
D) n =
169
13 2
; x4
2
26) A right triangle has legs of equal length. If the hypotenuse is 20 m long, find the length
(in meters) of each leg. Round the answer to the nearest tenth of a meter.
20 m
A)
10.0 m
B) 3.2 m
C)
4
14.5 m
D)
14.1 m
26)
Answer Key
Testname: PRACTICETEST
1) A
2) A
3) A
4) -
5)
65 3
65
3
+
,- 4
4
4
4
-4 ± 30
2
6) B
7) A
8)
± 7
9) ±11
10) a. 78.4 m; b. 3 sec; c. 10.5 sec
11) ±2 3
12) D
13) ±3
14)
4± 7
3
15)
16)
17)
18)
D
B
B
A
19)
-1 ± 13
4
20)
1 19
,7
7
21) D
22) B
23) n =
25
52
; t9
3
24) B
25) D
26) D
5