College Algebra Unit I Practice Exam Worksheet With Answer Key Page 3
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11
12Add or subtract as indicated and write the result in standard form.
11) 3i - (-2 - i)
11)
A) 2 - 2i
B) -2 + 2i
C) 2 + 4i
D) -2 - 4i
Divide and express the result in standard form.
8 + 9i
12)
12)
4 - 2i
7
13
25
13
7
13
A)
i
B)
i
C) 5 - 2i
D)
i
+
+
+
10
5
6
6
12
6
Perform the indicated operations and write the result in standard form.
13) (6 +
-3) (6 +
13)
-7)
A) 15 - 12 21i
B) (36 +
21 )- 57i
C) 57 + 252i
D) (36 -
21 )+ (6 7 + 6
3)i
Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers.
14) (3 + 9i)(6 - 4i)
14)
D) -36i 2 + 42i + 18
A) 54 + 42i
B) -18 + 66i
C) 54 - 42i
Solve the quadratic equations by any method.
15) x 2 + 2x - 24 = 0
15)
A) {-6, 1}
B) {-6, 4}
C) {6, -4}
D) {6, 4}
16) (x - 7) 2 = -4
16)
2i
A) {7 ± 2i}
B) ±
C) {-7 ± 2i}
D) {7i ± 2}
7
Solve the problem.
17) The formula P = 0.61x 2 - 0.041x + 3 models the approximate population P, in thousands, for a
17)
species of fish in a local pond, x years after 1997. During what year will the population reach 24,714
fish?
A) 2002
B) 2003
C) 2004
D) 2005
Solve the equation using the quadratic formula.
18) x 2 + 5x + 5 = 0
18)
-5 - 3 5
-5 + 3 5
5 -
5
5 +
5
A)
,
B)
,
2
2
2
2
5
5
5
5
-5 -
-5 +
-5 -
-5 +
C)
,
D)
,
10
10
2
2
19) 8x 2 + 1 = 3x
19)
3 ± i 23
-3 ± i 23
23
3 ±
23
-3 ±
A)
B)
C)
D)
16
16
16
16
3
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