$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
|
|
- Melissa Horn
- 6 years ago
- Views:
Transcription
1
2 RULES All groups will answer every question. Jeopardy is not a race! When your group has an an answer, raise your hand so I can come check. You cannot pick the same category twice in a row. No shouting (unless your last name is Trenfield). Lack of participation will result in a low participation grade for today. Winning group gets +5 on the test! Second place gets +3.
3 THE LEGENDARY ROOTS CREW FUNCTION DANCE MOVES SPECIAL OPS THE X FACTOR MYSTERY MATH $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
4 THE LEGENDARY ROOTS CREW - $100 Solve: x 3 5x 2 6x = 0
5 THE LEGENDARY ROOTS CREW - $200 Solve: 2x 3 16 = 0
6 THE LEGENDARY ROOTS CREW - $300 Solve: x 3 4x 2 + x 4 = 0
7 THE LEGENDARY ROOTS CREW - $400 Solve: 16x 4 4x 2 6 = 0
8 THE LEGENDARY ROOTS CREW - $500 Find all roots: f (x) = x 4 4x 3 +12x 2 36x + 27
9 FUNCTION DANCE MOVES - $100 Identify the end behavior f (x) = 5x 3 7x 2 + 3x 3
10 FUNCTION DANCE MOVES - $200 Identify the end behavior: f (x) = x 3 + 9x 8 π x π
11 FUNCTION DANCE MOVES - $300 Identify whether the degree is odd or even and the sign of the leading coefficient.
12 FUNCTION DANCE MOVES - $400 Find approximate values for all real roots, relative maxima, and relative minima. Round to the nearest tenth. f (x) = x 4 3x 2 4x +1
13 FUNCTION DANCE MOVES - $500 Write a polynomial function which falls left and falls right with roots at only x=3, x=2, and x=1 *you do not need to expand the function **yes it s possible
14 SPECIAL OPS - $100 Simplify:
15 SPECIAL OPS - $200 Multiply:
16 SPECIAL OPS - $300 Divide:
17 SPECIAL OPS - $400 Divide:
18 SPECIAL OPS - $500 Divide: (x 3 7x 2 x + 7) (x 2 1)
19 THE X FACTOR - $100 Factor: x 3 7x 2 x + 7
20 THE X FACTOR - $200 Factor: 27x y 3
21 THE X FACTOR - $300 Factor: x 3 y 3 x 2 y 3 42xy 3
22 THE X FACTOR - $400 Write as a product of linear factors. f (x) = x 3 5x 2 + 5x + 3
23 THE X FACTOR - $500 Write as a product of linear factors. f (x) = x 4 5x 3 + 7x 2 5x + 6
24 MYSTERY MATH - $100 Simplify:
25 MYSTERY MATH - $200 List all possible rational roots of the function. f (x) = 2x 4 + 8x 3 6x 9
26 MYSTERY MATH - $300 Simplify:
27 MYSTERY MATH - $400 Write the equation of a polynomial function with the following roots: x = 3+i x = 2
28 MYSTERY MATH - $500 Find all roots of the function, given that one root is x = 2+5i f (x) = x 4 6x x 2 54x 29
29 THE LEGENDARY ROOTS CREW - $100 Answer: x = 0, x = 6, x = -1
30 THE LEGENDARY ROOTS CREW - $200 Answer: x = 2 x = 1± i 3
31 THE LEGENDARY ROOTS CREW - $300 Answer: x = 4 x = i x = i
32 THE LEGENDARY ROOTS CREW - $400 Answer: x = ± 3 2 x = ± i 2
33 THE LEGENDARY ROOTS CREW - $500 Answer: x = ±3 x = ±3i?uestlove
34 FUNCTION DANCE MOVES - $100 Answer: rises left, falls right
35 FUNCTION DANCE MOVES - $200 Answer: rises left, rises right
36 FUNCTION DANCE MOVES - $300 Answer: odd degree, positive leading coefficient
37 FUNCTION DANCE MOVES - $400 Answer: Maxima: (-.2,1.1) Minima: (-1.1,-0.1) (1.3,-2.5) Roots: x = -1.2, x = -1, x = 0.4, x = 1.8, and Tariq Black Thought Trotter
38 FUNCTION DANCE MOVES - $500 Answer:
39 SPECIAL OPS - $100 Answer:
40 SPECIAL OPS - $200 Answer:
41 SPECIAL OPS - $300 Answer:
42 SPECIAL OPS - $400 Answer:
43 SPECIAL OPS - $500 Answer: x 7
44 THE X FACTOR - $100 Answer: (x 1)(x +1)(x 7)
45 THE X FACTOR - $200 Answer: (3x + 4y)(9x 2 12xy +16y 2 )
46 THE X FACTOR - $300 Answer: xy 3 (x 7)(x + 6)
47 THE X FACTOR - $400 Answer: f (x) = (x 3)[x (1+ 2)][x (1 2)]
48 THE X FACTOR - $500 Answer: f (x) = (x 2)(x 3)(x i)(x + i)
49 MYSTERY MATH - $100 Answer:
50 MYSTERY MATH - $200 Answer: ±1, ± 3, ±9, ± 1 2, ± 3 2, ± 9 2
51 MYSTERY MATH - $300 Answer:
52 MYSTERY MATH - $400 Answer: f (x) = x 3 8x x 20
53 MYSTERY MATH - $500 Answer: x = 2 ± 5i x = 1± 2
54
55 DEFINITION
56 FINAL JEOPARDY Define function Theme
57 FINAL CATEGORY What is a relation between a set of inputs and outputs with the property that each input is related to exactly one output?
58 END OF GAME Daily Doubles and usage notes follow...
59
60
61
62
63 JEOPARDY! Slide Show Notes The font for the question & answer slides is Enchanted; a copy of this font in located in the REAL Jeopardy Template folder. (This font will need to be installed in the C:/ WINDOWS/FONTS folder of the computer running the show.) In order to keep all of the sounds and fonts together, copy the entire REAL Jeopardy Template folder. To change the categories: 1. Go to Edit and Replace 2. In the Find box, type THE LEGENDARY ROOTS CREW (all caps) 3. In the Replace box, type the category in all caps (for example, PRESIDENTS) 4. Click Replace All... To use the Daily Double: 1. Choose which dollar values to set as Daily Double 2. Link that dollar value to one of the DD slides 3. Link the arrow on the DD slide to the correct question slide (so dollar/category match)
64 Running the JEOPARDY! Slide Show On the game board with the categories on top, click on the desired dollar value. (The first game board is used only to blink in the dollar values like the show.) ICONS:? Go to the answer screen. House Go back to the game board. Right Arrow (on Daily Doubles) Go to the question screen. Turned-up Arrow Reload question screen after incorrect guess
$100 $400 $400 $400 $500
$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 The Powers That Be! Pythagorean Properties Roots and Squares Scientific Notation
More informationMath 101, Basic Algebra Author: Debra Griffin
Math 101, Basic Algebra Author: Debra Griffin Name Chapter 5 Factoring 5.1 Greatest Common Factor 2 GCF, factoring GCF, factoring common binomial factor 5.2 Factor by Grouping 5 5.3 Factoring Trinomials
More informationFinal Exam Review - MAT 0028
Final Exam Review - MAT 0028 All questions on the final exam are multiple choice. You will be graded on your letter choices only - no partial credit will be awarded. To maximize the benefit of this review,
More informationMath Final Examination STUDY GUIDE Fall Name Score TOTAL Final Grade
Math 10006 Final Examination STUDY GUIDE Fall 010 Name Score TOTAL Final Grade The Use of a calculator is permitted on this exam. Duration of the test is 13 minutes and will have less number of questions
More informationFactoring is the process of changing a polynomial expression that is essentially a sum into an expression that is essentially a product.
Ch. 8 Polynomial Factoring Sec. 1 Factoring is the process of changing a polynomial expression that is essentially a sum into an expression that is essentially a product. Factoring polynomials is not much
More informationHFCC Math Lab Intermediate Algebra - 8 ADDITION AND SUBTRATION OF RATIONAL EXPRESSIONS
HFCC Math Lab Intermediate Algebra - 8 ADDITION AND SUBTRATION OF RATIONAL EXPRESSIONS Adding or subtracting two rational expressions require the rational expressions to have the same denominator. Example
More informationFactoring is the process of changing a polynomial expression that is essentially a sum into an expression that is essentially a product.
Ch. 8 Polynomial Factoring Sec. 1 Factoring is the process of changing a polynomial expression that is essentially a sum into an expression that is essentially a product. Factoring polynomials is not much
More informationa*(variable) 2 + b*(variable) + c
CH. 8. Factoring polynomials of the form: a*(variable) + b*(variable) + c Factor: 6x + 11x + 4 STEP 1: Is there a GCF of all terms? NO STEP : How many terms are there? Is it of degree? YES * Is it in the
More informationCCAC ELEMENTARY ALGEBRA
CCAC ELEMENTARY ALGEBRA Sample Questions TOPICS TO STUDY: Evaluate expressions Add, subtract, multiply, and divide polynomials Add, subtract, multiply, and divide rational expressions Factor two and three
More informationMath 135: Answers to Practice Problems
Math 35: Answers to Practice Problems Answers to problems from the textbook: Many of the problems from the textbook have answers in the back of the book. Here are the answers to the problems that don t
More informationName. 5. Simplify. a) (6x)(2x 2 ) b) (5pq 2 )( 4p 2 q 2 ) c) (3ab)( 2ab 2 )(2a 3 ) d) ( 6x 2 yz)( 5y 3 z)
3.1 Polynomials MATHPOWER TM 10, Ontario Edition, pp. 128 133 To add polynomials, collect like terms. To subtract a polynomial, add its opposite. To multiply monomials, multiply the numerical coefficients.
More informationStudy Guide and Review - Chapter 2
Divide using long division. 31. (x 3 + 8x 2 5) (x 2) So, (x 3 + 8x 2 5) (x 2) = x 2 + 10x + 20 +. 33. (2x 5 + 5x 4 5x 3 + x 2 18x + 10) (2x 1) So, (2x 5 + 5x 4 5x 3 + x 2 18x + 10) (2x 1) = x 4 + 3x 3
More informationPOD. Combine these like terms: 1) 3x 2 4x + 5x x 7x ) 7y 2 + 2y y + 5y 2. 3) 5x 4 + 2x x 7x 4 + 3x x
POD Combine these like terms: 1) 3x 2 4x + 5x 2 6 + 9x 7x 2 + 2 2) 7y 2 + 2y 3 + 2 4y + 5y 2 3) 5x 4 + 2x 5 5 10x 7x 4 + 3x 5 12 + 2x 1 Definitions! Monomial: a single term ex: 4x Binomial: two terms separated
More informationDevelopmental Math An Open Program Unit 12 Factoring First Edition
Developmental Math An Open Program Unit 12 Factoring First Edition Lesson 1 Introduction to Factoring TOPICS 12.1.1 Greatest Common Factor 1 Find the greatest common factor (GCF) of monomials. 2 Factor
More informationAssignment 3.3, 3.4, 3.5. Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Assignment 3.3, 3.4, 3.5 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use Descartes' Rule of Signs to determine the possible number of positive
More informationSimplify a rational expression
EXAMPLE 1 Simplify : Simplify a rational expression x 2 2x 15 x 2 9 x 2 2x 15 x 2 9 (x +3)(x 5) (x +3)(x 3) Factor numerator and denominator. (x +3)(x 5) Divide out common factor. (x +3)(x 3) x 5 x 3 ANSWER
More informationSlide 1 / 128. Polynomials
Slide 1 / 128 Polynomials Slide 2 / 128 Table of Contents Factors and GCF Factoring out GCF's Factoring Trinomials x 2 + bx + c Factoring Using Special Patterns Factoring Trinomials ax 2 + bx + c Factoring
More informationACCUPLACER Elementary Algebra Assessment Preparation Guide
ACCUPLACER Elementary Algebra Assessment Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre
More informationSection 7.1 Common Factors in Polynomials
Chapter 7 Factoring How Does GPS Work? 7.1 Common Factors in Polynomials 7.2 Difference of Two Squares 7.3 Perfect Trinomial Squares 7.4 Factoring Trinomials: (x 2 + bx + c) 7.5 Factoring Trinomials: (ax
More informationElementary Algebra Review for Exam 3
Elementary Algebra Review for Exam ) After receiving a discount of 5% on its bulk order of typewriter ribbons, John's Office Supply pays $5882. What was the price of the order before the discount? Round
More information5.6 Special Products of Polynomials
5.6 Special Products of Polynomials Learning Objectives Find the square of a binomial Find the product of binomials using sum and difference formula Solve problems using special products of polynomials
More informationUNIT 5 QUADRATIC FUNCTIONS Lesson 2: Creating and Solving Quadratic Equations in One Variable Instruction
Prerequisite Skills This lesson requires the use of the following skills: multiplying polynomials working with complex numbers Introduction 2 b 2 A trinomial of the form x + bx + that can be written as
More informationAccuplacer Review Workshop. Intermediate Algebra. Week Four. Includes internet links to instructional videos for additional resources:
Accuplacer Review Workshop Intermediate Algebra Week Four Includes internet links to instructional videos for additional resources: http://www.mathispower4u.com (Arithmetic Video Library) http://www.purplemath.com
More informationTERMINOLOGY 4.1. READING ASSIGNMENT 4.2 Sections 5.4, 6.1 through 6.5. Binomial. Factor (verb) GCF. Monomial. Polynomial.
Section 4. Factoring Polynomials TERMINOLOGY 4.1 Prerequisite Terms: Binomial Factor (verb) GCF Monomial Polynomial Trinomial READING ASSIGNMENT 4. Sections 5.4, 6.1 through 6.5 160 READING AND SELF-DISCOVERY
More informationMultiplication of Polynomials
Multiplication of Polynomials In multiplying polynomials, we need to consider the following cases: Case 1: Monomial times Polynomial In this case, you can use the distributive property and laws of exponents
More informationName Period. Linear Correlation
Linear Regression Models Directions: Use the information below to solve the problems in this packet. Packets are due at the end of the period and students who do not finish will be required to come in
More information3.1 Solutions to Exercises
.1 Solutions to Exercises 1. (a) f(x) will approach + as x approaches. (b) f(x) will still approach + as x approaches -, because any negative integer x will become positive if it is raised to an even exponent,
More informationLinear Review Part 1
Linear Review Part 1 by Eric Curts ericcurts@gmail.com - www.ericcurts.com twitter.com/ericcurts - plus.google.com/+ericcurts1 This slideshow is licensed under a Creative Commons Attribution Non-Commercial
More informationP.1 Algebraic Expressions, Mathematical models, and Real numbers. Exponential notation: Definitions of Sets: A B. Sets and subsets of real numbers:
P.1 Algebraic Expressions, Mathematical models, and Real numbers If n is a counting number (1, 2, 3, 4,..) then Exponential notation: b n = b b b... b, where n is the Exponent or Power, and b is the base
More informationMATH60082 Example Sheet 6 Explicit Finite Difference
MATH68 Example Sheet 6 Explicit Finite Difference Dr P Johnson Initial Setup For the explicit method we shall need: All parameters for the option, such as X and S etc. The number of divisions in stock,
More informationTopic #1: Evaluating and Simplifying Algebraic Expressions
John Jay College of Criminal Justice The City University of New York Department of Mathematics and Computer Science MAT 105 - College Algebra Departmental Final Examination Review Topic #1: Evaluating
More informationWeek 20 Algebra 1 Assignment:
Week 0 Algebra 1 Assignment: Day 1: pp. 38-383 #-0 even, 3-7 Day : pp. 385-386 #-18 even, 1-5 Day 3: pp. 388-389 #-4 even, 7-9 Day 4: pp. 39-393 #1-37 odd Day 5: Chapter 9 test Notes on Assignment: Pages
More informationFactor Trinomials When the Coefficient of the Second-Degree Term is 1 (Objective #1)
Factoring Trinomials (5.2) Factor Trinomials When the Coefficient of the Second-Degree Term is 1 EXAMPLE #1: Factor the trinomials. = = Factor Trinomials When the Coefficient of the Second-Degree Term
More informationIdentifying & Factoring: x 2 + bx + c
Identifying & Factoring: x 2 + bx + c Apr 13 11:04 AM 1 May 16 8:52 AM 2 A polynomial that can be simplified to the form ax + bx + c, where a 0, is called a quadratic polynomial. Linear term. Quadratic
More informationFACTORING HANDOUT. A General Factoring Strategy
This Factoring Packet was made possible by a GRCC Faculty Excellence grant by Neesha Patel and Adrienne Palmer. FACTORING HANDOUT A General Factoring Strategy It is important to be able to recognize the
More information2) Endpoints of a diameter (-1, 6), (9, -2) A) (x - 2)2 + (y - 4)2 = 41 B) (x - 4)2 + (y - 2)2 = 41 C) (x - 4)2 + y2 = 16 D) x2 + (y - 2)2 = 25
Math 101 Final Exam Review Revised FA17 (through section 5.6) The following problems are provided for additional practice in preparation for the Final Exam. You should not, however, rely solely upon these
More information2 TERMS 3 TERMS 4 TERMS (Must be in one of the following forms (Diamond, Slide & Divide, (Grouping)
3.3 Notes Factoring Factoring Always look for a Greatest Common Factor FIRST!!! 2 TERMS 3 TERMS 4 TERMS (Must be in one of the following forms (Diamond, Slide & Divide, (Grouping) to factor with two terms)
More informationMATD 0370 ELEMENTARY ALGEBRA REVIEW FOR TEST 3 (New Material From: , , and 10.1)
NOTE: In addition to the problems below, please study the handout Exercise Set 10.1 posted at http://www.austin.cc.tx.us/jbickham/handouts. 1. Simplify: 5 7 5. Simplify: ( 6ab 5 c )( a c 5 ). Simplify:
More information6-3 Dividing Polynomials
Polynomials can be divided using long division just like you learned with numbers. Divide) 24 6 5 6 24-8 4-0 4 Remainder 24 6 = 5 4 6 Example : Using Long Division to Divide a Polynomial Divide using
More informationYao s Minimax Principle
Complexity of algorithms The complexity of an algorithm is usually measured with respect to the size of the input, where size may for example refer to the length of a binary word describing the input,
More informationSection 8 2: Multiplying or Dividing Rational Expressions
Section 8 2: Multiplying or Dividing Rational Expressions Multiplying Fractions The basic rule for multiplying fractions is to multiply the numerators together and multiply the denominators together a
More informationFactoring completely is factoring a product down to a product of prime factors. 24 (2)(12) (2)(2)(6) (2)(2)(2)(3)
Factoring Contents Introduction... 2 Factoring Polynomials... 4 Greatest Common Factor... 4 Factoring by Grouping... 5 Factoring a Trinomial with a Table... 5 Factoring a Trinomial with a Leading Coefficient
More information1, are not real numbers.
SUBAREA I. NUMBER SENSE AND OPERATIONS Competency 000 Understand the structure of numeration systems and ways of representing numbers. A. Natural numbers--the counting numbers, 23,,,... B. Whole numbers--the
More informationLearning Goals: * Determining the expected value from a probability distribution. * Applying the expected value formula to solve problems.
Learning Goals: * Determining the expected value from a probability distribution. * Applying the expected value formula to solve problems. The following are marks from assignments and tests in a math class.
More information1. f(x) = x2 + x 12 x 2 4 Let s run through the steps.
Math 121 (Lesieutre); 4.3; September 6, 2017 The steps for graphing a rational function: 1. Factor the numerator and denominator, and write the function in lowest terms. 2. Set the numerator equal to zero
More informationMATD 0370 ELEMENTARY ALGEBRA REVIEW FOR TEST 3 (New Material From: , , and 10.1)
NOTE: In addition to the problems below, please study the handout Exercise Set 10.1 posted at http://www.austincc.edu/jbickham/handouts. 1. Simplify: 5 7 5. Simplify: ( ab 5 c )( a c 5 ). Simplify: 4x
More informationMath 8. Quarter 4. Name Teacher Period
Math 8 Quarter 4 Name Teacher Period 1 Unit 12 2 Released Questions 201 For the following questions Calculators are NOT permitted 1) 2) ) 4) 5) 6) 4 For the following questions Calculators are permitted
More informationHow to Manage THD Budgets. Step One Create New Project Budget
Version 1.0 How To: Manage THD Budgets: - Create New Project Budget - How would I create subsequent budgets? - Create Report to Compare Budgets - How is the Budget Versions Comparison Report Printed? How
More informationSpecial Binomial Products
Lesson 11-6 Lesson 11-6 Special Binomial Products Vocabulary perfect square trinomials difference of squares BIG IDEA The square of a binomial a + b is the expression (a + b) 2 and can be found by multiplying
More informationSUMMER MATH PACKET 1-b
SUMMER MATH PACKET 1-b The problems in this packet have been selected to help you to review concepts in preparation for your next math class. Please complete the odd problems in this packet. Show your
More informationPART I: NO CALCULATOR (200 points)
Prealgebra Practice Final Math 0 OER (Ch. -) PART I: NO CALCULATOR (00 points) (.). Find all divisors of the following numbers. a) b) 7 c) (.). Find the prime factorization of the following numbers. a)
More information2-6 Rates, Ratios, and Proportions. Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1
2-6 Rates, Ratios, and Proportions Warm Up Lesson Presentation Lesson Quiz 2-6 1 Questions on 2-5 2-6 2 Objectives Write and use ratios, rates, and unit rates. Write and solve proportions. 2-6 3 Vocabulary
More information2.01 Products of Polynomials
2.01 Products of Polynomials Recall from previous lessons that when algebraic expressions are added (or subtracted) they are called terms, while expressions that are multiplied are called factors. An algebraic
More information7-5 Factoring Special Products
7-5 Factoring Special Products Warm Up Lesson Presentation Lesson Quiz Algebra 1 Warm Up Determine whether the following are perfect squares. If so, find the square root. 1. 64 yes; 8 2. 36 3. 45 no 4.
More informationTEST # 1 REVIEW MATH MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
TEST # REVIEW MATH Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Give the domain and range of the relation. ) {(-8, -), (, ), (9, 8), (-, ),
More informationAlg2A Factoring and Equations Review Packet
1 Factoring using GCF: Take the greatest common factor (GCF) for the numerical coefficient. When choosing the GCF for the variables, if all the terms have a common variable, take the one with the lowest
More informationSection 7.4 Additional Factoring Techniques
Section 7.4 Additional Factoring Techniques Objectives In this section, you will learn to: To successfully complete this section, you need to understand: Factor trinomials when a = 1. Multiplying binomials
More informationSYLLABUS AND SAMPLE QUESTIONS FOR MSQE (Program Code: MQEK and MQED) Syllabus for PEA (Mathematics), 2013
SYLLABUS AND SAMPLE QUESTIONS FOR MSQE (Program Code: MQEK and MQED) 2013 Syllabus for PEA (Mathematics), 2013 Algebra: Binomial Theorem, AP, GP, HP, Exponential, Logarithmic Series, Sequence, Permutations
More informationWe begin, however, with the concept of prime factorization. Example: Determine the prime factorization of 12.
Chapter 3: Factors and Products 3.1 Factors and Multiples of Whole Numbers In this chapter we will look at the topic of factors and products. In previous years, we examined these with only numbers, whereas
More informationReview of Beginning Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Review of Beginning Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Classify as an expression or an equation. 1) 2x + 9 1) A) Expression B)
More informationStep one is identifying the GCF, and step two is dividing it out.
Throughout this course we will be looking at how to undo different operations in algebra. When covering exponents we showed how ( 3) 3 = 27, then when covering radicals we saw how to get back to the original
More informationPolynomials. Factors and Greatest Common Factors. Slide 1 / 128. Slide 2 / 128. Slide 3 / 128. Table of Contents
Slide 1 / 128 Polynomials Table of ontents Slide 2 / 128 Factors and GF Factoring out GF's Factoring Trinomials x 2 + bx + c Factoring Using Special Patterns Factoring Trinomials ax 2 + bx + c Factoring
More informationHow can we factor polynomials?
How can we factor polynomials? Factoring refers to writing something as a product. Factoring completely means that all of the factors are relatively prime (they have a GCF of 1). Methods of factoring:
More information7.1 Simplifying Rational Expressions
7.1 Simplifying Rational Expressions LEARNING OBJECTIVES 1. Determine the restrictions to the domain of a rational expression. 2. Simplify rational expressions. 3. Simplify expressions with opposite binomial
More information(8m 2 5m + 2) - (-10m 2 +7m 6) (8m 2 5m + 2) + (+10m 2-7m + 6)
Adding Polynomials Adding & Subtracting Polynomials (Combining Like Terms) Subtracting Polynomials (if your nd polynomial is inside a set of parentheses). (x 8x + ) + (-x -x 7) FIRST, Identify the like
More informationName: Algebra & 9.4 Midterm Review Sheet January 2019
Name: Algebra 1 9.3 & 9.4 Midterm Review Sheet January 2019 The Midterm format will include 35 Part I multiple choice questions that will be worth 1 point each, 10 Part II short answer questions that will
More informationNCERT Solutions for Class 11 Maths Chapter 8: Binomial Theorem
NCERT Solutions for Class 11 Maths Chapter 8: Binomial Theorem Exercise 8.1 : Solutions of Questions on Page Number : 166 Question 1: Expand the expression (1-2x) 5 By using Binomial Theorem, the expression
More informationHow To Enter or Change My Direct Deposit Banking Information
Step 1: Go the the Lakeland Home Page found here: http://info.lakelandregional.org/pages/home.aspx Click on myworkplace Step 2: In the left hand margin, scroll down to mybenefits/ Payroll and click on
More informationDownloaded from
9. Algebraic Expressions and Identities Q 1 Using identity (x - a) (x + a) = x 2 a 2 find 6 2 5 2. Q 2 Find the product of (7x 4y) and (3x - 7y). Q 3 Using suitable identity find (a + 3)(a + 2). Q 4 Using
More informationSmartboard Jeopardy. Lesson Notes. Jeopardy Board. unit 8 review jeopardy.notebook. January 30, 2014
Smartboard Jeopardy Lesson notes Title Page Lesson Notes Directions for using this Smartboard Jeopardy template. Double click on the Category names to edit and change. Edit each of the Question pages with
More informationAnswers to Odd-Numbered Problems, 4th Edition of Games and Information, Rasmusen. PROBLEMS FOR CHAPTER 7: Moral Hazard: Hidden Actions
ODD Answers to Odd-Numbered Problems, 4th Edition of Games and Information, Rasmusen PROBLEMS FOR CHAPTER 7: Moral Hazard: Hidden Actions 12 October 2006. Erasmuse@indiana.edu. Http://www.rasmusen.org.
More informationMATH 141 (Extra Practice 1)
MATH 141 (Extra Practice 1) 1. If matrices A = w 0.5 3 2 values of y and w? and B = 4 1 y 2 are inverses of each other, what are the 2. The company that produces a toothpaste has a fixed costs of $5000.
More informationMath 229 FINAL EXAM Review: Fall Final Exam Monday December 11 ALL Projects Due By Monday December 11
Math 229 FINAL EXAM Review: Fall 2018 1 Final Exam Monday December 11 ALL Projects Due By Monday December 11 1. Problem 1: (a) Write a MatLab function m-file to evaluate the following function: f(x) =
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Algebra - Final Exam Review Part Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use intercepts and a checkpoint to graph the linear function. )
More informationBARUCH COLLEGE MATH 2003 SPRING 2006 MANUAL FOR THE UNIFORM FINAL EXAMINATION
BARUCH COLLEGE MATH 003 SPRING 006 MANUAL FOR THE UNIFORM FINAL EXAMINATION The final examination for Math 003 will consist of two parts. Part I: Part II: This part will consist of 5 questions similar
More informationSandringham School Sixth Form. AS Maths. Bridging the gap
Sandringham School Sixth Form AS Maths Bridging the gap Section 1 - Factorising be able to factorise simple expressions be able to factorise quadratics The expression 4x + 8 can be written in factor form,
More information3.1 Solutions to Exercises
.1 Solutions to Exercises 1. (a) f(x) will approach + as x approaches. (b) f(x) will still approach + as x approaches -, because any negative integer x will become positive if it is raised to an even exponent,
More informationChapter 6: Quadratic Functions & Their Algebra
Chapter 6: Quadratic Functions & Their Algebra Topics: 1. Quadratic Function Review. Factoring: With Greatest Common Factor & Difference of Two Squares 3. Factoring: Trinomials 4. Complete Factoring 5.
More informationIntroduction to Basic Excel Functions and Formulae Note: Basic Functions Note: Function Key(s)/Input Description 1. Sum 2. Product
Introduction to Basic Excel Functions and Formulae Excel has some very useful functions that you can use when working with formulae. This worksheet has been designed using Excel 2010 however the basic
More informationMath M118 Class Notes For Chapter 9 By: Maan Omran
Math M118 Class Notes For Chapter 9 By: Maan Omran Section 9.1: Transition Matrices In Section 4.4, Bernoulli Trails: The probability of each outcome is independent of the outcome of any previous experiments
More informationMATH 112 Section 7.3: Understanding Chance
MATH 112 Section 7.3: Understanding Chance Prof. Jonathan Duncan Walla Walla University Autumn Quarter, 2007 Outline 1 Introduction to Probability 2 Theoretical vs. Experimental Probability 3 Advanced
More informationExpress Workshop Units 1-6 Problems. Unit 1 Algebra 1-1. Solve for the unknown: a) 4p 23 9p 7 b) 3( x 8) 5( x 3) 247 c) 12 9
Express Workshop Units 1-6 Problems Unit 1 Algebra 1-1. Solve for the unknown: y11 y8 a) 4p23 9p7 b) 3( x8) 5( x3) 247 c) 12 9 2x y1 5x7y25 y x11 d) e) f) 5x10y 10 11x6y 8 y 2x19 1-2a) The formula for
More informationPercent: Slide 1 / 194. Slide 2 / 194. Slide 4 / 194. Slide 3 / 194. Slide 6 / 194. Slide 5 / 194. Table of Contents. Ratios as Percents
Slide 1 / 194 Percents Slide 2 / 194 Table of Contents Ratios as Percents Decimals as Percents Percents as Decimals Fractions as Percents Percents as Fractions Fractional Parts and Equivalent Names Relating
More informationSolve Problems with Percents
Domain 1 Lesson 2 Solve Problems with Percents Common Core Standard: 7.RP.3 Getting the Idea Percents are used for many things, such as the sale price of an item, the sales tax you pay on an item, and
More informationUnit: Polynomials and Factoring
Unit: Polynomials: Multiplying and Factoring Name Dates Taught Specific Outcome 10I.A.1 Demonstrate an understanding of factors of whole numbers by determining: Prime factors Greatest common factor Least
More informationAlgebra/Geometry Blend Unit #5: Factoring and Quadratic Functions Lesson 2: Factoring Trinomials. What does factoring really mean?
Algebra/Geometry Blend Unit #5: Factoring and Quadratic Functions Lesson 2: Factoring Trinomials Name Period Date [page 1] Before you embark on your next factoring adventure, it is important to ask yourself
More information(2/3) 3 ((1 7/8) 2 + 1/2) = (2/3) 3 ((8/8 7/8) 2 + 1/2) (Work from inner parentheses outward) = (2/3) 3 ((1/8) 2 + 1/2) = (8/27) (1/64 + 1/2)
Exponents Problem: Show that 5. Solution: Remember, using our rules of exponents, 5 5, 5. Problems to Do: 1. Simplify each to a single fraction or number: (a) ( 1 ) 5 ( ) 5. And, since (b) + 9 + 1 5 /
More informationChange Payment Elections (Direct Deposit)
Change Payment Elections (Direct Deposit) Overview Set up direct deposit for your Regular biweekly payments and Bonus payments. Who Does This: Employees Things to Know: Direct deposit provides the convenience
More informationMath Analysis Midterm Review. Directions: This assignment is due at the beginning of class on Friday, January 9th
Math Analysis Midterm Review Name Directions: This assignment is due at the beginning of class on Friday, January 9th This homework is intended to help you prepare for the midterm exam. The questions are
More informationMath 166: Topics in Contemporary Mathematics II
Math 166: Topics in Contemporary Mathematics II Ruomeng Lan Texas A&M University October 15, 2014 Ruomeng Lan (TAMU) Math 166 October 15, 2014 1 / 12 Mean, Median and Mode Definition: 1. The average or
More informationUnit 8 Notes: Solving Quadratics by Factoring Alg 1
Unit 8 Notes: Solving Quadratics by Factoring Alg 1 Name Period Day Date Assignment (Due the next class meeting) Tuesday Wednesday Thursday Friday Monday Tuesday Wednesday Thursday Friday Monday Tuesday
More informationSolutions for practice questions: Chapter 15, Probability Distributions If you find any errors, please let me know at
Solutions for practice questions: Chapter 15, Probability Distributions If you find any errors, please let me know at mailto:msfrisbie@pfrisbie.com. 1. Let X represent the savings of a resident; X ~ N(3000,
More information2-4 Completing the Square
2-4 Completing the Square Warm Up Lesson Presentation Lesson Quiz Algebra 2 Warm Up Write each expression as a trinomial. 1. (x 5) 2 x 2 10x + 25 2. (3x + 5) 2 9x 2 + 30x + 25 Factor each expression. 3.
More information1.2: USING ALGEBRA(meaning no calculators), find the Intersection of the two Lines.
Math 125 Final Exam Practice HAPTE 1: 1.1: List the Intercepts of each Equation and then sketch the graph 18x+ 10y = 90 b) 16x+ 24y = 432 c) 25x+ 10y = 500 1.2: USING ALGEBA(meaning no calculators), find
More informationSection 5.6 Factoring Strategies
Section 5.6 Factoring Strategies INTRODUCTION Let s review what you should know about factoring. (1) Factors imply multiplication Whenever we refer to factors, we are either directly or indirectly referring
More informationTI-83 Plus Workshop. Al Maturo,
Solving Equations with one variable. Enter the equation into: Y 1 = x x 6 Y = x + 5x + 3 Y 3 = x 3 5x + 1 TI-83 Plus Workshop Al Maturo, AMATURO@las.ch We shall refer to this in print as f(x). We shall
More informationName Class Date. Adding and Subtracting Polynomials
8-1 Reteaching Adding and Subtracting Polynomials You can add and subtract polynomials by lining up like terms and then adding or subtracting each part separately. What is the simplified form of (3x 4x
More informationIs the following a perfect cube? (use prime factorization to show if it is or isn't) 3456
Is the following a perfect cube? (use prime factorization to show if it is or isn't) 3456 Oct 2 1:50 PM 1 Have you used algebra tiles before? X 2 X 2 X X X Oct 3 10:47 AM 2 Factor x 2 + 3x + 2 X 2 X X
More informationMath 115 Chapter 4 Exam - Part 1 Spring Break 2011
Spring 20 Name: Math 5 Chapter 4 Exam - Part Spring Break 20 Directions: i. On 8.5" x " paper, show all relavent work. No work, no credit. ii. On two 882-E SCANTRON forms, fill in all your answers. iii.
More informationMath 111 Midterm II February 20th, 2007
NAME: Student ID #: QUIZ SECTION: Math 111 Midterm II February 0th, 007 Problem 1 15 Problem 14 Problem 3 15 Problem 4 6 Total: 50 Your exam should contain 5 pages in total and 4 problems Please check
More information