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College Prep Algebra 2 Test 3-1 Review

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
2.
Find the sum.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
3.

Simplify (5 + 3i) - (6 - 8i)

a)

1 + 11i-1\ +\ 11i

b)

1  5i-1\ -\ 5i

c)

30 24i2 -30\ -24i^{2\ }

d)

6  58i-6\ -\ 58i

4.
The product of (3 -2i) and (7+6i) is
a)
21 - 12i
b)
9 + 4i
c)
33 + 4i
d)
21 + 16i
5.

Solve the quadratic inequality x2  4x  12 >0x^{2\ }-\ 4x\ -\ 12\ >0 .

a)

(, 2)  (6, )\left(-\infty,\ -2\right)\ \cup\ \left(6,\ \infty\right)

b)

(, 6)  (2, )\left(-\infty,\ -6\right)\ \cup\ \left(2,\ \infty\right)

c)

(6, 2)\left(-6,\ 2\right)

d)

(2, 6)\left(-2,\ 6\right)

6.

Solve the quadratic inequality x2 +4x  21  0x^{2\ }+4x\ -\ 21\ \le\ 0 .

a)

(, 7]  [3, ]\left(-\infty,\ -7\right]\ \cup\ \left[3,\ \infty\right]

b)

(, 3]  [7, ]\left(-\infty,\ -3\right]\ \cup\ \left[7,\ \infty\right]

c)

[7, 3]\left[-7,\ 3\right]

d)

[3, 7]\left[-3,\ 7\right]

7.
Solve for x and y
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
8.
x + 2y = -4
x - 2y = 8
a)
(2,5)
b)
(2,-3)
c)
(2,-2)
d)
(-3,2)
9.
Find the solution.
a)
(4,2) and (0,9)
b)
(-4,-1) and (2,5)
c)
(5,3) and (5,2)
d)
(-4,2) and (5,9)
10.

Azariya and Michelle both offer baby sitting services. Azariya charges $20 as a booking fee, but only charges $5 per hour. Michelle charges $10 an hour, but has no booking fee. Using the table below, when will they charge the same price?

a)

2 Hours

b)

3 Hours

c)

4 Hours

d)

5 Hours