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NOVA International Schools A:: Teacher: Ms. Angelevska /17/2015

The document is a math test covering complex numbers and the quadratic formula. It contains 7 multiple choice questions simplifying complex expressions, finding products and conjugates, solving quadratic equations by factoring and using the quadratic formula, and identifying roots and equations given certain criteria.

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Jasmina Angelevska Kostadinoska
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22 views7 pages

NOVA International Schools A:: Teacher: Ms. Angelevska /17/2015

The document is a math test covering complex numbers and the quadratic formula. It contains 7 multiple choice questions simplifying complex expressions, finding products and conjugates, solving quadratic equations by factoring and using the quadratic formula, and identifying roots and equations given certain criteria.

Uploaded by

Jasmina Angelevska Kostadinoska
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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NOVA International Schools

A:

B:

C:

Algebra 2
Total:

Test 6: Complex numbers and Quadratic formula

Teacher: Ms. Angelevska


/17/2015

Student: __________________________________
1. SIMPLIFY:
a) √ −100

b)
√ −9
25

c) i 5

d) ( 4−i ) + ( 3+3 i )

e) 4 ( 5+3 i )

3
f) ( √ −4 )

g) √ −8 √ 6

h) ( 5+3 i )( 6−i )

2. FIND THE PRODUCT OF THE NUMBER 1+i AND ITS CONJUGATE.

3. SOLVE: ( a+ 6 ) ( a+2 )=0

2
Algebra 2, Test 1 Part A Form A

4. SOLVE BY COMPLETHING THE SQUARE :


a. x 2+ 8 x−64=0

b. w 2+ 3 m−180=0

5. FIND THE VALUE OF THE DISCRIMINANT; FULLY DESCRIBE THE NATURE OF THE ROOTS OF THE
EQUATION, THEN SOLVE THE EQUATION.
a. a 2+12 a+32=0

b. x 2−10 x+ 25=0

c. y 2−4 y +4=0

3
6. FIND THE SUM AND PRODUCT OF THE ROOTS OF THE EQUATION 6 t 2+ 28t−10=0.SOLVE THE
EQUATION TO CHECK YOUR ANSWER.
7. SOLVE:
a. y 4 −3 y 2+ 2=0

b. m−9 √ m+8=0

c. 18 r 3 +16 r=34 r 2

4
Algebra 2, Test 5 Part B

1. SIMPLIFY:
a. ( 6−2i )2

2+i √ 3
b.
2−i √ 3

c. ( 1+2 i ) ( 3−4 i ) (2+i)

2. SOLVE THE FACTORING:


a. r 2 +r =30

b. 6 r 2 +7 r =3

3. SOLVE BY COMLETHING THE SQUARE :


2 3 1
a. b − b+ =0
4 8

b. 3 z 2−12 z + 4=0

c. t 2−16 t=−4
4. WRITE QUADRATIC EQUATION THAT HAS ROOTS
2
a. 5 ,
3

b. −6 i ,6 i

5. SOLVE :

a. a 3=125

b. x 2+ 64=0

c. a 3=81 a

2 1
d. r 3 −12 r 3 +20=0

6. FIND THE MULTIPLICATIVE INVERSE OF THE COMPLEX NUMBER 3+7 i


Algebra 2, Test 5 Part C

7. C: FIND k SUCH THAT THE NUMBER 3 IS ROOTH OF THE EQUATION x 2+ kx−21=0.

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