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Worksheets

Pre College Algebra

Total questions: 26

Worksheet time: 2hrs 4mins

Name
Class
Date
1.

Solve by factoring:

x2 + x - 6 = 0

a)

x= 4 and -1

b)

x= -3 and 2

c)

x= -6 and 1

d)

x= -2 and 3

2.
Solve:
2(a + 4) = 2a - 8 + 4a
a)
3
b)
-3
c)
-4
d)
4
3.
Solve (x+2)2=5
a)
x=-2+√5
b)
x=-2+√5, x=-2-√5
c)
x=√3
d)
x=√3, x=-√3
4.
Write as a single complex number: (3+4i)(2-i)
a)
10+5i
b)
10-5i
c)
2+5i
d)
10+3i
5.

1−i6+2i\frac{1-i}{6+2i}  Simplify!

a)

1/10 - 1/5 i

b)

1/2 + 1/4 i

c)

1/4 - 1/4 i

d)

1/32 - 1/4 i

6.
Solve for x
a)
5
b)
4/5
c)
1
d)
- 4
7.
Solve for x
a)
6
b)
17/5
c)
19/2
d)
- 6
8.
Solve.
a)
no solution
b)
6
c)
3
d)
4
9.
Solve
a)
-9
b)
-2,3
c)
5
d)
0
10.
a)

a

b)

b

c)

c

d)

d

e)

e

11.

An executive invests #15,000, some at 8% and the rest at 7% annual interest. If he receives an annual return of $1,090, how much is invested at each rate?

a)

$11,000 in 8%, $4000 in 7%

b)

$266.67 in 8%, $14,733.33 in 8%

c)

$320 in 8%, $770 in 7%

d)

$4000 in 8%, $11,000 in 7%

12.
a)

a

b)

b

c)

c

d)

d

e)

e

13.
a)

a

b)

b

c)

c

d)

d

e)

e

14.
Simplify: 
(10+ 15i)-(48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
15.
a)
10
b)
-10
c)
10i
d)
-10i
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
a)
b)
c)
d)
19.
a)
b)
c)
d)
20.
a)

9/19

b)

19/9

c)

1/2

d)

2

21.
Solve for x
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
22.
Solve for x
3 l 4w−1 l −5 = 10
a)
x = 1.5 and x =-1
b)
x = -1.5 and x = 1
c)
x =1 and x = -1
d)
No Solution
23.

Solve and write your answer in interval notation.

a−6≤15+8aa-6\le15+8a  

a)

[-3, ∞)

b)

(-∞, -3]

c)

(3, ∞)

d)

(-3, ∞]

24.

Solve and write your answer in interval notation.

28−7x≤−4(−7x−7)28-7x\le-4\left(-7x-7\right)  

a)

(0, ∞)

b)

[0, ∞)

c)

(0, ∞]

d)

(-∞, 0]

25.

Solve the inequality below. Express the solution in interval notation.

6 - 2|m -3| > -4

a)

(−8,2)\left(-8,2\right)

b)

(−∞,−8)or(2,∞)\left(-\infty,-8\right)or\left(2,\infty\right)

c)

(−∞,−2)or(8,∞)\left(-\infty,-2\right)or\left(8,\infty\right)

d)

(−2,8)\left(-2,8\right)

26.

Solve the following inequality. Express the solution in interval notation:  

−3≤2x−1≤5-3\le2x-1\le5  

a)

 [-1, 3]

b)

(-1, 3)

c)

(1, 3)

d)

[1, 3]