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Published byAlonzo Gorrell
Modified over 2 years ago
Brett Solberg AHS11-12
Sit in your assigned seat Turn in the following: Ch 6 Warm-ups Ch 6 Review Any late work Get out the following for your test: notes pencil calculator Do you have any last second questions?
25 questions – Multiple Choice take your time check each answer carefully show work fill in bubble sheet afterwards When you finish put both packet and scantron on scanner work on sudoku puzzle
Solve for x: What HW Problems should we review?
Imaginary and Complex Numbers Add/Subtract Multiply/Divide Simplify Green Midyear Review Corrected Next Class End of the quarter is next class
Examples of Complex Numbers 2 + 3i 4 – i -1 – 5i
Real Parts add/subtract together Imaginary Parts add/subtract together (-2 + 3i) + (2 – 3i) = 3i – 4i = ( i) – (-2 + 3i) =
Use conjugates What is the conjugate of: 3 + 2i -2 – i
7.7 pg 323 # even 7.9 pg 329 #4 – 26 even
Operations with Complex Numbers. Aim: Add, subtract, multiply and/or divide complex numbers in order to simplify. Simplify: 1. 2x + 3y – x + y = x + 4y.
Warm up. Questions over hw? Skills Check Simplify.
Warm-Up Complex Number CA Standard SWBAT: Understand how real and complex numbers are related Add, subtract, multiply, and divide complex.
Tell a neighbor… 1.An example of a very large number. 2.An example of a very small number.
Multiply Simplify Write the expression as a complex number.
Skills Check Perform the indicated operation. Find the area & perimeter of the rectangle. 3. Perimeter = ____ 4. Area = ____ 2x + 1 2x – 3.
The Complex Number System. 1. Write each expression as a pure imaginary number. (similar to p.537 #26)
Complex Numbers. Solve the Following 1. 2x 2 = 8 2. x = 0.
Warm up – Simplify. Questions over hw? Skills Check Perform the indicated operation. Find the area & perimeter of the rectangle. 3. Perimeter = ____.
Solve the equation. 1.) 3x = 23 2.) 2(x + 7) 2 = 16 Warm Up.
Warm Up Simplify each expression f(x) = x 2 – 18x + 16 f(x) = x 2 + 8x – 24 Find the zeros of each function.
Complex Numbers warm up 4 Solve the following Complex Numbers Any number in form a+bi, where a and b are real numbers and i is imaginary. What is an.
A.6 Complex Numbers & Solving Equations. Imaginary Numbers.
SOL Warm Up 1) C 2) B 3) (4x + y) (2x – 5y) 4) x = 7 ½ and x = -1/2 Answers.
Objectives: I can define and use imaginary and complex numbers. I can solve equations with complex roots. Complex Numbers.
Ch. 4.6 : I Can define and use imaginary and complex numbers and solve quadratic equations with complex roots Success Criteria: I can use complex numbers.
Complex Numbers. Numbers that are not real are called Imaginary. They use the letter i. i = √-1 or i 2 = -1 Simplify each: √-81 √-10 √-32 √-810.
Introduction to Complex Numbers Adding, Subtracting, Multiplying And Dividing Complex Numbers Describe any number in the complex number system.
Dividing Complex Numbers. Before we begin Last time we learned about the imaginary numbers. Last time we learned about the imaginary numbers. Numbers.
Complex Numbers. Imaginary unit Complex number a + b – Where a and b are real numbers Imaginary number a + b – Where b 0 Pure imaginary number – a + b,if.
Lesson 2.1, page 266 Complex Numbers Objective: To add, subtract, multiply, or divide complex numbers.
Good Morning! Please get the e-Instruction Remote with your assigned Calculator Number on it, and have a seat… Then answer this question by aiming the.
Complex Numbers Add and Subtract complex numbers Multiply and divide complex numbers.
Write the expression as a complex number in standard form. 1.) (9 + 8i) + (8 – 9i) 2.) (-1 + i) – (7 – 5i) 3.) (8 – 5i) – ( i) Warm Up.
January 17, 2012 At the end of the today, you will be able to work with complex numbers. Warm-up: Correct HW 2.3: Pg. 160 # (2x – 1)(x + 2)(x.
Chapter 4.6 Complex Numbers. Imaginary Numbers The expression does not have a real solution because squaring a number cannot result in a negative answer.
Imaginary Numbers. You CAN have a negative under the radical. You will bring out an “i“ (imaginary).
Lesson 5-6 Complex Numbers. Recall Remember when we simplified square roots like: √128 = √64 ● √2 = 8√2 ? Remember that you couldn’t take the square root.
Warm-up Solve for x Section 5-6: Complex Numbers Goal 1.02: Define and compute with complex numbers.
TODAY IN ALGEBRA… Warm Up: Simplifying Powers Learning Target: 8.2 You will use properties of exponents involving quotients Independent Practice/Test.
5.9 Complex Numbers Alg 2. Express the number in terms of i. Factor out –1. Product Property. Simplify. Multiply. Express in terms of i.
September 14, 2015 What are we doing today? Activity 1.1 – Integers and Absolute Values - Review and Correct Activity Adding Integers (Pg. 8) - Journal.
Today – Wednesday, May 22, 2013 EOC Practice Test #1 – Second half Learning Target : Assessment of Ch. 10 concepts CH. 10 TEST TODAY!
Complex Numbers Section 3.2 Beginning on page 104.
9/28/12 - Simplify. 1. 2y + 4 – 3y – (2t + 1) + 10 = -1y – 1 = -14t + 3 HW check today! This is Sheet #2!
Notes Over 5.4 Imaginary Numbers Notes Over 5.4Solving a Quadratic Equation Solve the equation.
Jeopardy Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Add fractions Subtract Fractions Multiply Fractions Divide.
Warm-upAnswers Compute (in terms of i) _i, -1, -i, 1.
Algebra Operations with Complex Numbers. Vocabulary Imaginary Number i -
Complex Numbers Write imaginary numbers using i. 2.Perform arithmetic operations with complex numbers. 3.Raise i to powers.
Holt McDougal Algebra Complex Numbers and Roots 5-5 Complex Numbers and Roots Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation.
COMPLEX NUMBERS Unit 4Radicals. Complex/Imaginary Numbers WHAT IS? WHY? There is no real number whose square is -25 so we have to use an imaginary number.
Solve the equation -3v = -21 Multiply or Divide? 1.
Warm-Up: December 13, 2011 Solve for x:. Complex Numbers Section 2.1.
1.3 Complex Number System. Complex Numbers Numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit.
October 27, 2014 What are we doing today? 3.1 – Rational Numbers -Lecture and Vocabulary -HW – Pg. 115 # all Due: Tomorrow Target To recognize and.
If i =,what are the values of the following? Hint: When you square a square root, all you do is take off the square root. 1. i 2 2. i 4 3. i 6.
EXAMPLE 3 Standardized Test Practice SOLUTION 7p + 13 = 9p – 5 13 = 2p – 5 18 = 2p 9 = p Write original equation. Subtract 7p from each side. Add 5 to.
September 19, 2012 More multi-step equations and consecutive integer problems Warm-up: Do one group’s multi-step review sheet. When you are done, compare.
Complex Numbers Any number in form a+bi, where a and b are real numbers and i is imaginary. What is an imaginary number?
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