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Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

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Page 1: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Algebra II4.6: Imaginary NumbersQuiz 4.5-4.6: Thursday, Oct. 16th

Page 2: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Imaginary Numbers

1

1

1

4

3

2

i

ii

i

i

1111 because

11 because

1111 because

4

3

2

ii

Page 3: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Therefore

1 1

1 1

84

73

62

51

ii

iiii

ii

iiii

Page 4: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Simplify

1.)

2.)

3.)51

44

15

i

i

i

Page 5: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Complex Numbers in Standard Form

Standard Form: Write the expression as a complex

number in standard form.(Practice B evens)

1.)

2.)

3.)

bia

)3(2

)54()4(

)3()1(

ii

ii

ii

Page 6: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Algebra II4.6: Imaginary NumbersHW: p.279-280 (4-32 even)Quiz 4.5-4.6: Thursday, Oct. 16th

Page 7: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Simplify: (Practice B evens)

1.)

2.) )25)(25(

)24)(2(

ii

ii

Page 8: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

3.)

4.)2)2(

)32)(1(2

i

iii

Simplify: (Practice B evens)

Page 9: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Solve the equation

1.)

2.)

362 x

56403 22 xx

Page 10: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Solve the equation3.) 10)3(5 2 x

Page 11: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Practice B (evens): Write the expression as a complex number in standard form.

i23

5

1.)

2.)

i

i

7

34

Page 12: Algebra II 4.6: Imaginary Numbers Quiz 4.5-4.6: Thursday, Oct. 16 th

Practice B (evens): Write the expression as a complex number in standard form.

3.)

i

i

2

21