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Review for CAT Unit 6 Test for Quarter 3

Total questions: 26

Worksheet time: 2hrs 58mins

Name
Class
Date
1.

 4m+1 − 2m2 − m − 2 = 1m2 − m −2\frac{4}{m+1}\ -\ \frac{2}{m^2\ -\ m\ -\ 2}\ =\ \frac{1}{m^2\ -\ m\ -2}  

a)

 14\frac{1}{4}  

b)

 −52-\frac{5}{2}  

c)

 52\frac{5}{2}  

d)

 114\frac{11}{4}  

2.

 32n−4 + n−3n2 + 2n − 8 = 12n+8\frac{3}{2n-4}\ +\ \frac{n-3}{n^2\ +\ 2n\ -\ 8}\ =\ \frac{1}{2n+8}  

a)

-4

b)

0

c)

-2

d)

4

3.

 1x + 1x2 + 3x = 3x2 + 3x\frac{1}{x}\ +\ \frac{1}{x^2\ +\ 3x}\ =\ \frac{3}{x^2\ +\ 3x}  

a)

-1

b)

1

c)

 − 52-\ \frac{5}{2}  

d)

2

4.

 1 + a + 12a = a−32a1\ +\ \frac{a\ +\ 1}{2a}\ =\ \frac{a-3}{2a}  

a)

 2 or 742\ or\ \frac{7}{4}  

b)

 74\frac{7}{4}  

c)

-3

d)

-2

5.

|n + 7| = 12

a)

(5, -19)

b)

(45, -45}

c)

(-1, -3)

d)

45

6.

 ∣n6∣ = 5\left|\frac{n}{6}\right|\ =\ 5  

a)

(25)

b)

(8, -8)

c)

(30, -30)

d)

(7, -21)

7.

|n + 6| = 1

a)

(2, -16)

b)

(1, -3)

c)

(1)

d)

(-5, -7)

8.

|n + 1| = 4

a)

(6)

b)

(6, -6)

c)

(3, -5)

d)

(3)

9.

(-5 - 3i) - (- 2 - 3i)

a)

-3

b)

-8 - 3i

c)

-4 + 3i

d)

-3 + 6i

10.

(7 + 6i) + (-1 - 8i)

a)

6 - 2i

b)

4 - 2i

c)

22

d)

8 + 2i

11.

(8 + 3i) + (7 - 8i)

a)

-1 - 11i

b)

15 - 11i

c)

15 = 11i

d)

15 - 5i

12.

(3 - 5i) + 6i -4

a)

-1 + 11i

b)

-1 + i

c)

7 + i

d)

-1 - 11i

13.

 (1 − 2i)2\left(1\ -\ 2i\right)^2  

a)

9

b)

-3 + 4i

c)

-3 - 4i

d)

25

14.

(7 - 2i)(6 + 6i)

a)

30 - 54i

b)

47 + 32i

c)

-30 + 54i

d)

54 + 30i

15.

(5 - 4I)(-4 + 8i)

a)

12 + 56i

b)

52 - 24i

c)

12 - 56i

d)

17 + 52i

16.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
17.
Use the quadratic formula to solve 2x2 + 2x - 12?
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
18.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
19.
Complete the square.
x2 + 6x + ____
a)
x2 + 6x + 9
b)
x2 + 6x - 36
c)
x2 + 6x + 36
d)
x2 + 6x - 9
20.
Complete the Square
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
21.
What is one of the solutions to this equation?
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
22.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
a)
{3 and-1}
b)
{4 and -4}
c)
{5 and -3}
d)
{8 and -7}
23.
Put the equation in slope-intercept form: 
2x + 2y = 6
a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6
24.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
25.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
26.
Put the equation in slope-intercept form: 
2x + 2y = 6
a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6