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7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 1/31
Jeopardy
Integrated Geometry
Chapter 1
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 2/31
Adding and
SubtractingMultiplying Dividing Absolute Value Simplifying
100 100 100 100 100
200 200 200 200 200
300 300 300 300 300
400 400 400 400 400
500 500 500 500 500
Final Jeopardy Topic
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 3/31
Adding and Subtracting - 100
• (6 + 4i) + (5 + 2i)
• 11 + 6i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 4/31
Adding and Subtracting- 200
• (12 + 53i ) + (17 + 62i )
• 29 + 115i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 5/31
Adding and Subtracting- 300
• True of False: These 2 equations are the
same
(3 + 6i) + (-7 + 2i) and ( 3 +6i) – ( 7 - 2i).
• True
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 7/31
Adding and Subtracting- 400
• 10 – ( 15 + 6i) + 12i
• -5 + 6i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 8/31
Adding and Subtracting-500
• ( 3 + 12i ) + ( 4 – 5i) – ( 2 + 13i)
• 5 – 6i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 9/31
Multiplying - 100
• What does i squared equal?
• -1
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 10/31
Multilpying - 200
• ( 4 + 2i) ( 6 + i )
• 22 + 16i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 11/31
Multiplying- 300
• What are 2 methods we can use to
multiply complex numbers?
• Foil or Box Method
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 12/31
Multiplying- 400
• The product of a number and its complex
conjugate is always a ________ number?
• real
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 13/31
Multiplying- 500
• ( 10 + 5i) ( 6 – 8i)
• 100 - 50i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 14/31
Dividing- 100
• What do you multiply by the numerator
and denominator when dividing?
• The Complex Congujate
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 15/31
Dividing- 200
• What is the complex conjugate of 4 + 12i?
• 4 -12i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 16/31
Dividing- 300
• What is the complex conjugate of -3 – 5i
• -3 + 5i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 17/31
Dividing- 400
• What is the numerator when dividing 4+2i
3 + 4i
• 20-10i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 18/31
Dividing - 500
• Explain how do divide 3 + 7i
4 – 10i
• First, complex conjugate.
• Then, multiply by numerator anddenominator.
• Last write in standard form: a+bi
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 19/31
Absolute Value- 100
• What is the absolute value of 3 + 4i?
• 5
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 20/31
Absolute Value-200
• What is the absolute value of -6+8i?
• 10
7/28/2019 Ch. 1 Jeopardy.ppt
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Absolute Value-300
• What is the absolute value of -3i
• 3
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 23/31
Absolute Value- 400
• What is the formula we use to find the absolutevalue?
• Pythagorean Theorm: a^2 + b^2 = c^2
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 24/31
Absolute Value- 500
• What is the absolute value of 7 + 12i?
• Sq root(193)
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 25/31
Simplifying- 100
• Write in standard form: 3 + √-36
• 3 + 6i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 26/31
Simplifying- 200
• Write in standard form: √3 + √-144
• √3 + 12i
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 27/31
Simplifying- 300
• Write in standard form: √49 + √-24
• 7 + 2i√6
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 28/31
Simplifying- 400
• Write in standard form: √-75 + 6
• 6 + 5i√3
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 29/31
Simplifying- 500
• Explain how to simplify √192
• Make a factor tree and get all primefactors.
• Get groups of 2 factors and put them under same radical.
• Solve to get 8√3
7/28/2019 Ch. 1 Jeopardy.ppt
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Final Jeopardy
Expected Value
7/28/2019 Ch. 1 Jeopardy.ppt
http://slidepdf.com/reader/full/ch-1-jeopardyppt 31/31
Final Jeopardy
• Mr. Williamson catches 20 bass on sunny days
and 12 bass on cloudy days. If he goes fishing
on Sunday, and it is sunny 25% of the time and
cloudy 75% of the time, how many bass shouldhe expect to catch?
• 14 bass