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9_14 and 9_15 FST Quadratics Review

Total questions: 25

Worksheet time: 2hrs 13mins

Name
Class
Date
1.

SOLVE: x2+4x-32=0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

2.

SOLVE: x2-14x-51=0

a)

x= 17, -3

b)

x= -17, 3

c)

x= -17, -3

3.

SOLVE: 4x2+7x-17=3x2+12x-3

a)

x= -7, -2

b)

x= 7, -2

c)

x= -7, 2

4.

Solve the following quadratics equation by completing the square...


x2 + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

5.

Solve the following quadratics equation by completing the square...


x2 - 6x + 2 = 0

a)

x = -3 ± √7

b)

x = 3 ± √7

c)

x = 7 ± √3

d)

x = -7 ± √3

6.

Solve the following quadratics equation by completing the square...


x2 + 2x - 5 = 0

a)

x = -1 ± √6

b)

x = 1 ± √6

c)

x = 6 ± √1

d)

x = -6 ± √1

7.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
8.
Solve Using the Quadratic Formula 
2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
9.

Solve by the Quadratic Formula:

9u2−11u+7=09u^2-11u+7=0  

a)

−11±13118\frac{-11\pm\sqrt{131}}{18}  

b)

11±i13118\frac{11\pm i\sqrt{131}}{18}  

c)

11±131−18\frac{11\pm\sqrt{131}}{-18}  

d)

11±i37318\frac{11\pm i\sqrt{373}}{18}  

10.

What is i?

a)

1

b)

-1

c)

√-1

d)

√1

11.

Simplify: (8 + 2i) + ( -2 - 3i)

a)

10 - i

b)

10 + 5i

c)

6 + 5i

d)

6 - i

12.

Simplify (8 + 2i) - (2 - 3i)

a)

22 - 28i

b)

6 + 5i

c)

6 - i

d)

10 + i

13.

Write in standard form: (5 + 3i)(5 - 3i)

a)

34

b)

16

c)

25 - 30i + i2

d)

24 - 30i

14.

What is the conjugate of 5 - 2i?

a)

5 + 2i

b)

-5 - 2i

c)

5 - 2i

d)

-5 + 2i

15.
a)
A
b)
B
c)
C
d)
D
16.

SIMPLIFY: √-36

a)
6
b)
-6
c)
-6i
d)
6i
17.

What is the simplifies form of (11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

18.

What is the simplified form of (-6i)(3i)

a)

-18

b)

-18i

c)

18

d)

-18i2

19.

What is the simplified form of (-3 + 2i)(1- 4i)

a)

-2 - 2i

b)

5 + 14i

c)

-11 -10i

d)

-3 -8i

20.
a)

A

b)

B

c)

C

d)

D

21.
a)
b)
c)
d)
22.

Find "c".... x2 + 16x + c

23.

Factor: 3x2 – 2x – 1

a)

(3x + 1)(x + 1)

b)

(3x - 2)(x - 1)

c)

(3x + 1)(x – 1)

d)

3(x – 1)(x + 1)

24.

Solve by completing the square... 4x2 – 32x – 9 = 0

a)

x = –4 ±√(73)/2

b)

x = 4 ±√(73)/2

c)

x = –4 ±√(-9)/2

d)

x = 4 ± 3i/2

25.

Simplify: √(-81)

(a)