Math 12 - Unit 4 Review
|
|
|
- Dylan Sullivan
- 5 years ago
- Views:
Transcription
1 Name: Class: Date: Math 12 - Unit 4 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A combination lock opens with the correct three-digit code. Each wheel rotates through the digits 1 to 8. How many different three-digit codes are possible? A. 24 B. 64 C. 512 D Evaluate. (3!) 2 A. 8 B. 9 C. 18 D Evaluate. 10! 9! + 3! A. 13 B. 16 C. 20 D Solve for n, where n I. Ê (n + 1)! ˆ 2 Ë Á n! = 40 A. 10 B. 19 C. 20 D. 39 1
2 Name: 5. Evaluate. 21P 2 A. 441 B. 420 C. 399 D Suppose a word is any string of letters. How many two-letter words can you make from the letters in LETHBRIDGE if you do not repeat any letters in the word? A. 72 B. 100 C. 81 D Solve for n. np 4 = 120 A. n = 5 B. n = 6 C. n = 7 D. n = 8 8. Solve for n. n 2P 2 = 30 A. n = 5 B. n = 6 C. n = 7 D. n = 8 9. Evaluate. 15! 10! 3! 2! A B C D
3 Name: 10. How many different arrangements can be made using all the letters in ATHABASCA? A B C D There are 14 members of a student council. How many ways can 4 of the members be chosen to serve on the dance committee? A B C D How many ways can 4 representatives be chosen from a hockey team of 17 players? A B C D Identify the term that best describes the following situation: Determine the number of pizzas with 4 different toppings from a list of 40 toppings. A. permutations B. combinations C. factorial D. none of the above 14. How many ways can the 6 starting positions on a hockey team (1 goalie, 2 defense, 3 forwards) be filled from a team of 2 goalies, 4 defense, and 7 forwards? A. 420 B. 500 C. 858 D
4 Name: 15. Euchre is played with a deck of 24 cards that is similar to a standard deck of 52 playing cards, but with only the ace, 9, 10, jack, queen, and king for all four suits. How many different five-card hands are there with at least three clubs? A. 375 B. 926 C D Short Answer 1. Indicate whether the Fundamental Counting Principle applies to this situation: Counting the number of possibilities when drawing a face card from a standard deck. 2. There are nine different marbles in a bag. Suppose you reach in and draw one at a time, and do this six times. How many ways can you draw the six marbles if you do not replace the marble each time? 3. How many different routes are there from A to B, if you only travel south or east? 4
5 Name: 4. How many different routes are there from A to B, if you only travel north or east? 5. A physics teacher has three topics for students to research: baryons, mesons, and leptons. How many different ways can her class of 24 students be divided evenly among the 3 topics? 6. A physics teacher has four topics for students to research: reflection, refraction, the visible spectrum, and the speed of light. How many different ways can her class of 24 students be divided evenly among the 4 topics? 7. How many ways can the top four cash prices be awarded in a lottery that sold 150 tickets if each ticket is replaced when drawn? 5
6 Math 12 - Unit 4 Review Answer Section MULTIPLE CHOICE 1. ANS: C PTS: 1 DIF: Grade 12 REF: Lesson 4.1 OBJ: 4.1 Represent and solve counting problems, using a graphic organizer. 4.2 Generalize the fundamental counting principle, using inductive reasoning. 4.3 Identify and explain assumptions made in solving a counting problem. 4.4 Solve a contextual counting problem, using the fundamental counting principle, and explain the reasoning. TOP: Counting Principles KEY: counting Fundamental Counting Principle 2. ANS: D PTS: 1 DIF: Grade 12 REF: Lesson 4.2 OBJ: 5.1 Represent the number of arrangements of n elements taken n at a time, using factorial notation. 5.2 Determine, with or without technology, the value of a factorial. 5.3 Simplify a numeric or algebraic fraction containing factorials in both the numerator and denominator. 5.4 Solve an equation that involves factorials. TOP: Introducing Permutations and Factorial Notation 3. ANS: B PTS: 1 DIF: Grade 12 REF: Lesson 4.2 OBJ: 5.1 Represent the number of arrangements of n elements taken n at a time, using factorial notation. 5.2 Determine, with or without technology, the value of a factorial. 5.3 Simplify a numeric or algebraic fraction containing factorials in both the numerator and denominator. 5.4 Solve an equation that involves factorials. TOP: Introducing Permutations and Factorial Notation 4. ANS: B PTS: 1 DIF: Grade 12 REF: Lesson 4.2 OBJ: 5.1 Represent the number of arrangements of n elements taken n at a time, using factorial notation. 5.2 Determine, with or without technology, the value of a factorial. 5.3 Simplify a numeric or algebraic fraction containing factorials in both the numerator and denominator. 5.4 Solve an equation that involves factorials. TOP: Introducing Permutations and Factorial Notation 5. ANS: B PTS: 1 DIF: Grade 12 REF: Lesson ANS: A PTS: 1 DIF: Grade 12 REF: Lesson ANS: A PTS: 1 DIF: Grade 12 REF: Lesson 4.3 1
7 8. ANS: D PTS: 1 DIF: Grade 12 REF: Lesson ANS: A PTS: 1 DIF: Grade 12 REF: Lesson 4.4 OBJ: 5.6 Determine the number of permutations of n elements taken n at a time where some elements are not distinct. 5.7 Explain, using examples, the effect on the total number of permutations of n elements when two or more elements are identical. TOP: Permutations When Objects Are Identical 10. ANS: C PTS: 1 DIF: Grade 12 REF: Lesson 4.4 OBJ: 5.6 Determine the number of permutations of n elements taken n at a time where some elements are not distinct. 5.7 Explain, using examples, the effect on the total number of permutations of n elements when two or more elements are identical. TOP: Permutations When Objects Are Identical 11. ANS: A PTS: 1 DIF: Grade 12 REF: Lesson 4.5 OBJ: 4.3 Identify and explain assumptions made in solving a counting problem. 5.1 Represent the number of arrangements of n elements taken n at a time, using factorial notation. TOP: Exploring Combinations KEY: counting combination factorial notation 12. ANS: A PTS: 1 DIF: Grade 12 REF: Lesson 4.6 OBJ: 6.1 Explain, using examples, why order is or is not important when solving problems that involve permutations or combinations. 6.2 Determine the number of combinations of n elements taken r at a time. 6.3 Generalize strategies for determining the number of combinations of n elements taken r at a time. TOP: Combinations KEY: counting combination 13. ANS: B PTS: 1 DIF: Grade 12 REF: Lesson 4.7 TOP: Solving Counting Problems KEY: counting permutation combination 14. ANS: A PTS: 1 DIF: Grade 12 REF: Lesson 4.7 TOP: Solving Counting Problems KEY: counting permutation combination 2
8 15. ANS: C PTS: 1 DIF: Grade 12 REF: Lesson 4.7 TOP: Solving Counting Problems KEY: counting combination Fundamental Counting Principle SHORT ANSWER 1. ANS: no PTS: 1 DIF: Grade 12 REF: Lesson 4.1 OBJ: 4.1 Represent and solve counting problems, using a graphic organizer. 4.2 Generalize the fundamental counting principle, using inductive reasoning. 4.3 Identify and explain assumptions made in solving a counting problem. 4.4 Solve a contextual counting problem, using the fundamental counting principle, and explain the reasoning. TOP: Counting Principles KEY: counting Fundamental Counting Principle 2. ANS: PTS: 1 DIF: Grade 12 REF: Lesson ANS: 100 PTS: 1 DIF: Grade 12 REF: Lesson 4.4 OBJ: 5.6 Determine the number of permutations of n elements taken n at a time where some elements are not distinct. 5.7 Explain, using examples, the effect on the total number of permutations of n elements when two or more elements are identical. TOP: Permutations When Objects Are Identical 4. ANS: 525 PTS: 1 DIF: Grade 12 REF: Lesson 4.4 OBJ: 5.6 Determine the number of permutations of n elements taken n at a time where some elements are not distinct. 5.7 Explain, using examples, the effect on the total number of permutations of n elements when two or more elements are identical. TOP: Permutations When Objects Are Identical 3
9 5. ANS: PTS: 1 DIF: Grade 12 REF: Lesson 4.7 TOP: Solving Counting Problems KEY: counting combination Fundamental Counting Principle 6. ANS: PTS: 1 DIF: Grade 12 REF: Lesson 4.7 TOP: Solving Counting Problems KEY: counting combination Fundamental Counting Principle 7. ANS: PTS: 1 DIF: Grade 12 REF: Lesson 4.7 TOP: Solving Counting Problems KEY: counting Fundamental Counting Principle 4
Fundamental Counting Principle 2.1 Page 66 [And = *, Or = +]
![Fundamental Counting Principle 2.1 Page 66 [And = *, Or = +]](/thumbs/80/80865142.jpg "Fundamental Counting Principle 2.1 Page 66 [And = *, Or = +]")
Math 3201 Assignment 1 of 1 Unit 2 Counting Methods Name: Fundamental Counting Principle 2.1 Page 66 [And = *, Or = +] Identify the choice that best completes the statement or answers the question. 1.
Fundamental Counting Principle 2.1 Page 66 [And = *, Or = +]
![Fundamental Counting Principle 2.1 Page 66 [And = *, Or = +]](/thumbs/90/102632904.jpg "Fundamental Counting Principle 2.1 Page 66 [And = *, Or = +]")
Math 3201 Assignment 2 Unit 2 Counting Methods Name: Fundamental Counting Principle 2.1 Page 66 [And = *, Or = +] Identify the choice that best completes the statement or answers the question. Show all
Practice Test Chapter 4 Counting Methods Name:
FOM 12 Practice Test Chapter 4 Counting Methods Name: Block: _ Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Eve can choose from the following notebooks:
Activity 1: Play comparison games involving fractions, decimals and/or integers.
Students will be able to: Lesson Fractions, Decimals, Percents and Integers. Play comparison games involving fractions, decimals and/or integers,. Complete percent increase and decrease problems, and.
Name: Exam 1. September 14, 2017
Department of Mathematics University of Notre Dame Math 10120 Finite Math Fall 2017 Name: Instructors: Basit & Migliore Exam 1 September 14, 2017 This exam is in two parts on 9 pages and contains 14 problems
ABE/ASE Standards Mathematics
[Lesson Title] TEACHER NAME PROGRAM NAME Program Information Playing the Odds [Unit Title] Data Analysis and Probability NRS EFL(s) 3 4 TIME FRAME 240 minutes (double lesson) ABE/ASE Standards Mathematics
Chapter 13 April Vacation Packet
Name: _ Date: Chapter 13 April Vacation Packet Class: _ 1. In a batch of 390 water purifiers, 12 were found to be defective. What is the probability that a water purifier chosen at random will be defective?
Determine the number of permutations of n objects taken r at a time, where 0 # r # n. Holly Adams Bill Mathews Peter Prevc
4.3 Permutations When All Objects Are Distinguishable YOU WILL NEED calculator standard deck of playing cards EXPLORE How many three-letter permutations can you make with the letters in the word MATH?
Algebra 2 (Standard) DIA #6
Name: Class: Date: Algebra 2 (Standard) DIA #6 Multiple Choice Identify the choice that best completes the statement or answers the question.. An initial population of 865 quail increases at an annual
Chapter 2 Review. Name: Class: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: _ Date: _ ID: A Chapter 2 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following represents these rational numbers
Counting Methods and Probability
CHAPTER Counting Methods and Probability Many good basketball players can make 90% of their free throws. However, the likelihood of a player making several free throws in a row will be less than 90%. You
LAMC Junior Circle February 3, Oleg Gleizer. Warm-up
LAMC Junior Circle February 3, 2013 Oleg Gleizer oleg1140@gmail.com Warm-up Problem 1 Compute the following. 2 3 ( 4) + 6 2 Problem 2 Can the value of a fraction increase, if we add one to the numerator
10-1. Combinations. Vocabulary. Lesson. Mental Math. able to compute the number of subsets of size r.
Chapter 10 Lesson 10-1 Combinations BIG IDEA With a set of n elements, it is often useful to be able to compute the number of subsets of size r Vocabulary combination number of combinations of n things
Unit 5 Radical Functions & Combinatorics
1 Unit 5 Radical Functions & Combinatorics General Outcome: Develop algebraic and graphical reasoning through the study of relations. Develop algebraic and numeric reasoning that involves combinatorics.
Fundamental Counting Principle
Lesson 88 Probability with Combinatorics HL2 Math - Santowski Fundamental Counting Principle Fundamental Counting Principle can be used determine the number of possible outcomes when there are two or more
Permutations and Combinations Practice Test
Name: Class: Date: Permutations and Combinations Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Suppose that license plates in the fictional
Chapter 1 - Set Theory
Midterm review Math 3201 Name: Chapter 1 - Set Theory Part 1: Multiple Choice : 1) U = {hockey, basketball, golf, tennis, volleyball, soccer}. If B = {sports that use a ball}, which element would be in
ATHS FC Math Department Al Ain Remedial worksheet. Lesson 10.4 (Ellipses)
ATHS FC Math Department Al Ain Remedial worksheet Section Name ID Date Lesson Marks Lesson 10.4 (Ellipses) 10.4, 10.5, 0.4, 0.5 and 0.6 Intervention Plan Page 1 of 19 Gr 12 core c 2 = a 2 b 2 Question
Chapter 1. Probability
Chapter 1. Probability 1.1 Basic Concepts Scientific method a. For a given problem, we define measures that explains the problem well. b. Data is collected with observation and the measures are calculated.
Name: Date: Chapter 2 Quiz Geometry. Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Date: Chapter 2 Quiz Geometry Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the value of x? Identify the missing justifications.,, and.
Foundations to Algebra In Class: Investigating Probability
Foundations to Algebra In Class: Investigating Probability Name Date How can I use probability to make predictions? Have you ever tried to predict which football team will win a big game? If so, you probably
Name: Practice Exam I. September 14, 2017
Department of Mathematics University of Notre Dame Math 10120 Finite Math Fall 2017 Name: Instructors: Basit & Migliore Practice Exam I September 14, 2017 This exam is in two parts on 10 pages and contains
G R AD E 4 UNIT 3: FRACTIONS - LESSONS 1-3
G R AD E UNIT : FRACTIONS - LESSONS - KEY CONCEPT OVERVIEW In these lessons, students explore fraction equivalence. They show how fractions can be expressed as the sum of smaller fractions by using different
x y
1. Find the mean of the following numbers: ans: 26.25 3, 8, 15, 23, 35, 37, 41, 48 2. Find the median of the following numbers: ans: 24 8, 15, 2, 23, 41, 83, 91, 112, 17, 25 3. Find the sample standard
Name: Exam I. February 5, 2015
Department of Mathematics University of Notre Dame Math 10120 Finite Math Spring 201 Name: Instructors: Garbett & Migliore Exam I February, 201 This exam is in two parts on 10 pages and contains 1 problems
Introduction. Firstly however we must look at the Fundamental Principle of Counting (sometimes referred to as the multiplication rule) which states:
Worksheet 4.11 Counting Section 1 Introduction When looking at situations involving counting it is often not practical to count things individually. Instead techniques have been developed to help us count
Probability. The MEnTe Program Math Enrichment through Technology. Title V East Los Angeles College
Probability The MEnTe Program Math Enrichment through Technology Title V East Los Angeles College 2003 East Los Angeles College. All rights reserved. Topics Introduction Empirical Probability Theoretical
* Order Matters For Permutations * Section 4.6 Permutations MDM4U Jensen. Part 1: Factorial Investigation
Section 4.6 Permutations MDM4U Jensen Part 1: Factorial Investigation You are trying to put three children, represented by A, B, and C, in a line for a game. How many different orders are possible? a)
House of Cards. Below is a house of cards that is 3 stories high.
Below is a house of cards that is 3 stories high. The top story is made of 2 cards leaned against each other, with 1 card as its base. The middle story is made of 4 cards (2 sets of 2 cards leaning against
Math 102 Practice for Test 3
Math 102 Practice for Test 3 Name Show your work and write all fractions and ratios in simplest form for full credit. 1. If you draw a single card from a standard 52-card deck what is P(King face card)?
Math 166: Topics in Contemporary Mathematics II
Math 166: Topics in Contemporary Mathematics II Xin Ma Texas A&M University September 30, 2017 Xin Ma (TAMU) Math 166 September 30, 2017 1 / 11 Last Time Factorials For any natural number n, we define
Making Predictions with Theoretical Probability. ESSENTIAL QUESTION How do you make predictions using theoretical probability?
L E S S O N 13.3 Making Predictions with Theoretical Probability 7.SP.3.6 predict the approximate relative frequency given the probability. Also 7.SP.3.7a ESSENTIAL QUESTION How do you make predictions
Common Core Math Tutorial and Practice
Common Core Math Tutorial and Practice TABLE OF CONTENTS Chapter One Number and Numerical Operations Number Sense...4 Ratios, Proportions, and Percents...12 Comparing and Ordering...19 Equivalent Numbers,
In how many ways can a team of three snow sculptors be chosen to represent Amir s school from the nine students who have volunteered?
4.6 Combinations GOAL Solve problems involving combinations. LEARN ABOUT the Math Each year during the Festival du Voyageur, held during February in Winnipeg, Manitoba, high schools compete in the Voyageur
11.3B Warmup. 1. Expand: 2x. 2. Express the expansion of 2x. using combinations. 3. Simplify: a 2b a 2b
11.3 Warmup 1. Expand: 2x y 4 2. Express the expansion of 2x y 4 using combinations. 3 3 3. Simplify: a 2b a 2b 4. How many terms are there in the expansion of 2x y 15? 5. What would the 10 th term in
Permutations and Combinations
Permutations and Combinations In statistics, there are two ways to count or group items. For both permutations and combinations, there are certain requirements that must be met: there can be no repetitions
Fundamentals of Probability
Fundamentals of Probability Introduction Probability is the likelihood that an event will occur under a set of given conditions. The probability of an event occurring has a value between 0 and 1. An impossible
* Order Matters For Permutations * Section 4.6 Permutations MDM4U Jensen. Part 1: Factorial Investigation
Section 4.6 Permutations MDM4U Jensen Part 1: Factorial Investigation You are trying to put three children, represented by A, B, and C, in a line for a game. How many different orders are possible? a)
Making Predictions with Theoretical Probability
? LESSON 6.3 Making Predictions with Theoretical Probability ESSENTIAL QUESTION Proportionality 7.6.H Solve problems using qualitative and quantitative predictions and comparisons from simple experiments.
Chapter 1. Probability
Chapter 1. Probability 1.1 Basic Concepts Scientific method a. For a given problem, we define measures that explains the problem well. b. Data is collected with observation and the measures are calculated.
6. In how many different ways can you answer 10 multiple-choice questions if each question has five choices?
Pre-Calculus Section 4.1 Multiplication, Addition, and Complement 1. Evaluate each of the following: a. 5! b. 6! c. 7! d. 0! 2. Evaluate each of the following: a. 10! b. 20! 9! 18! 3. In how many different
{ a, b }, { a, c }, { b, c }
12 d.) 0(5.5) c.) 0(5,0) h.) 0(7,1) a.) 0(6,3) 3.) Simplify the following combinations. PROBLEMS: C(n,k)= the number of combinations of n distinct objects taken k at a time is COMBINATION RULE It can easily
Algebra II- Chapter 12- Test Review
Sections: Counting Principle Permutations Combinations Probability Name Choose the letter of the term that best matches each statement or phrase. 1. An illustration used to show the total number of A.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
More 9.-9.3 Practice Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. ) In how many ways can you answer the questions on
Key Concepts. Theoretical Probability. Terminology. Lesson 11-1
Key Concepts Theoretical Probability Lesson - Objective Teach students the terminology used in probability theory, and how to make calculations pertaining to experiments where all outcomes are equally
4. Are events C and D independent? Verify your answer with a calculation.
Honors Math 2 More Conditional Probability Name: Date: 1. A standard deck of cards has 52 cards: 26 Red cards, 26 black cards 4 suits: Hearts (red), Diamonds (red), Clubs (black), Spades (black); 13 of
MAT 155. Key Concept. Notation. Fundamental Counting. February 09, S4.7_3 Counting. Chapter 4 Probability
MAT 155 Dr. Claude Moore Cape Fear Community College Chapter 4 Probability 4 1 Review and Preview 4 2 Basic Concepts of Probability 4 3 Addition Rule 4 4 Multiplication Rule: Basics 4 7 Counting Key Concept
PROBABILITY. Example 1 The probability of choosing a heart from a deck of cards is given by
Classical Definition of Probability PROBABILITY Probability is the measure of how likely an event is. An experiment is a situation involving chance or probability that leads to results called outcomes.
Solving Counting Problems
4.7 Solving Counting Problems OAL Solve counting problems that involve permutations and combinations. INVESIAE the Math A band has recorded 3 hit singles over its career. One of the hits went platinum.
7.1 Chance Surprises, 7.2 Predicting the Future in an Uncertain World, 7.4 Down for the Count
7.1 Chance Surprises, 7.2 Predicting the Future in an Uncertain World, 7.4 Down for the Count Probability deals with predicting the outcome of future experiments in a quantitative way. The experiments
Tree Diagrams and the Fundamental Counting Principle
Objective: In this lesson, you will use permutations and combinations to compute probabilities of compound events and to solve problems. Read this knowledge article and answer the following: Tree Diagrams
Geometry Benchmark Assessment #1
Geometry Benchmark Assessment #1 Multiple Choice Circle the letter of the choice that best completes the statement or answers the question. 1. When the net is folded into the rectangular prism shown beside
Review. Natural Numbers: Whole Numbers: Integers: Rational Numbers: Outline Sec Comparing Rational Numbers
FOUNDATIONS Outline Sec. 3-1 Gallo Name: Date: Review Natural Numbers: Whole Numbers: Integers: Rational Numbers: Comparing Rational Numbers Fractions: A way of representing a division of a whole into
Name: Class: Date: 6. An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of this event is 11
Class: Date: Sample Mastery # Multiple Choice Identify the choice that best completes the statement or answers the question.. One repetition of an experiment is known as a(n) random variable expected value
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Study Guide for Test III (MATH 1630) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the number of subsets of the set. 1) {x x is an even
Chapter 0: Preparing for Advanced Algebra
Lesson 0-1: Representing Functions Date: Example 1: Locate Coordinates Name the quadrant in which the point is located. Example 2: Identify Domain and Range State the domain and range of each relation.
Counting Methods. Mathematics 3201
Mathematics 3201 Unit 2 2.1 - COUNTING PRINCIPLES Goal: Determine the Fundamental Counting Principle and use it to solve problems. Example 1: Hannah plays on her school soccer team. The soccer uniform
Name (Place your name here and on the Scantron form.)
MATH 053 - CALCULUS & STATISTICS/BUSN - CRN 0398 - EXAM # - WEDNESDAY, FEB 09 - DR. BRIDGE Name (Place your name here and on the Scantron form.) MULTIPLE CHOICE. Choose the one alternative that best completes
Perfect Squares that are Written as Fractions or Decimals
Math 9: Unit 1 Lesson 2 Perfect Squares that are Written as Fractions or Decimals Part 1: Fractions There are two ways to determine the square root of a perfect square that is written as a fraction: 1.
Mathematics 3201 Test (Unit 3) Probability FORMULAES
Mathematics 3201 Test (Unit 3) robability Name: FORMULAES ( ) A B A A B A B ( A) ( B) ( A B) ( A and B) ( A) ( B) art A : lace the letter corresponding to the correct answer to each of the following in
TEST A CHAPTER 11, PROBABILITY
TEST A CHAPTER 11, PROBABILITY 1. Two fair dice are rolled. Find the probability that the sum turning up is 9, given that the first die turns up an even number. 2. Two fair dice are rolled. Find the probability
Determine whether the given events are disjoint. 4) Being over 30 and being in college 4) A) No B) Yes
Math 34 Test #4 Review Fall 06 Name Tell whether the statement is true or false. ) 3 {x x is an even counting number} ) A) True False Decide whether the statement is true or false. ) {5, 0, 5, 0} {5, 5}
Addition and Subtraction of Polynomials
Student Probe What is 10x 2 2y x + 4y 6x 2? Addition and Subtraction of Polynomials Answer: 4x 2 x + 2y The terms 10x 2 and - 6x 2 should be combined because they are like bases and the terms - 2y and
Elizabeth Blackwell MS 210Q- 8th Grade Mid-Winter Recess Assignment
Class: Date: Elizabeth Blackwell MS 210Q- 8th Grade Mid-Winter Recess Assignment The following assignment has been provided for students for the Winter Recess.. Please assist your child in completing this
1. Mrs. Yang types 80 words in one minute. At that rate, how many words can she type in 15 minutes?
Go Math Module 8 Practice Questions 1. Mrs. Yang types 80 words in one minute. At that rate, how many words can she type in 15 minutes? A. 120 B. 800 C. 1,200 D. 1,600 2. Teneka repeats a tongue twister
a) 2, 4, 8, 14, 22, b) 1, 5, 6, 10, 11, c) 3, 9, 21, 39, 63, d) 3, 0, 6, 15, 27, e) 3, 8, 13, 18, 23,
Pre-alculus Midterm Exam Review Name:. Which of the following is an arithmetic sequence?,, 8,,, b),, 6, 0,, c), 9,, 9, 6, d), 0, 6,, 7, e), 8,, 8,,. What is a rule for the nth term of the arithmetic sequence
Probability Quiz Review Sections
CP1 Math 2 Unit 9: Probability: Day 7/8 Topic Outline: Probability Quiz Review Sections 5.02-5.04 Name A probability cannot exceed 1. We express probability as a fraction, decimal, or percent. Probabilities
November 6, Chapter 8: Probability: The Mathematics of Chance
Chapter 8: Probability: The Mathematics of Chance November 6, 2013 Last Time Crystallographic notation Groups Crystallographic notation The first symbol is always a p, which indicates that the pattern
Math 3201 Notes Chapter 2: Counting Methods
Learning oals: See p. 63 text. Math 30 Notes Chapter : Counting Methods. Counting Principles ( classes) Outcomes:. Define the sample space. P. 66. Find the sample space by drawing a graphic organizer such
April 10, ex) Draw a tree diagram of this situation.
April 10, 2014 12-1 Fundamental Counting Principle & Multiplying Probabilities 1. Outcome - the result of a single trial. 2. Sample Space - the set of all possible outcomes 3. Independent Events - when
6/24/14. The Poker Manipulation. The Counting Principle. MAFS.912.S-IC.1: Understand and evaluate random processes underlying statistical experiments
The Poker Manipulation Unit 5 Probability 6/24/14 Algebra 1 Ins1tute 1 6/24/14 Algebra 1 Ins1tute 2 MAFS. 7.SP.3: Investigate chance processes and develop, use, and evaluate probability models MAFS. 7.SP.3:
Intermediate Math Circles November 1, 2017 Probability I. Problem Set Solutions
Intermediate Math Circles November 1, 2017 Probability I Problem Set Solutions 1. Suppose we draw one card from a well-shuffled deck. Let A be the event that we get a spade, and B be the event we get an
Assignment. Money, Money, Who Gets the Money? Introduction to Picture Algebra
Assignment Assignment for Lesson 1.1 Name Money, Money, Who Gets the Money? Introduction to Picture Algebra Date You and your friend Jamal go to lunch. You each order a cheeseburger and a large soft drink.
JUST THE MATHS UNIT NUMBER PROBABILITY 2 (Permutations and combinations) A.J.Hobson
JUST THE MATHS UNIT NUMBER 19.2 PROBABILITY 2 (Permutations and combinations) by A.J.Hobson 19.2.1 Introduction 19.2.2 Rules of permutations and combinations 19.2.3 Permutations of sets with some objects
Chapter #2 test sinusoidal function
Chapter #2 test sinusoidal function Sunday, October 07, 2012 11:23 AM Multiple Choice [ /10] Identify the choice that best completes the statement or answers the question. 1. For the function y = sin x,
Lesson 1 6. Algebra: Variables and Expression. Students will be able to evaluate algebraic expressions.
Lesson 1 6 Algebra: Variables and Expression Students will be able to evaluate algebraic expressions. P1 Represent and analyze patterns, rules and functions with words, tables, graphs and simple variable
Mathematics Success Grade 8
Mathematics Success Grade 8 T429 [OBJECTIVE] The student will solve systems of equations by graphing. [PREREQUISITE SKILLS] solving equations [MATERIALS] Student pages S207 S220 Rulers [ESSENTIAL QUESTIONS]
Chapter 2 Math
Chapter 2 Math 3201 1 Chapter 2: Counting Methods: Solving problems that involve the Fundamental Counting Principle Understanding and simplifying expressions involving factorial notation Solving problems
Name: Class: Date: a. 8 b. 6 c. 6 d Olivia orders 4 ham sandwiches at the deli. The total amount was $ How much did each sandwich cost?
Name: Class: Date: ID: A HSAP TEST REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question.. Which set of numbers is in order from greatest to least? a. 4,
Jessica Fauser EDUC 352 October 21, 2011 Unit Lesson Plan #3. Lesson: Permutations and Combinations Length: 45 minutes Age/Grade Intended: Algebra II
Jessica Fauser EDUC 352 October 21, 2011 Unit Lesson Plan #3 Lesson: Permutations and Combinations Length: 45 minutes Age/Grade Intended: Algebra II Academic Standard(s): A2.8.4 Use permutations, combinations,
CHAPTER 9 - COUNTING PRINCIPLES AND PROBABILITY
CHAPTER 9 - COUNTING PRINCIPLES AND PROBABILITY Probability is the Probability is used in many real-world fields, such as insurance, medical research, law enforcement, and political science. Objectives:
Math 1 Unit 4 Mid-Unit Review Chances of Winning
Math 1 Unit 4 Mid-Unit Review Chances of Winning Name My child studied for the Unit 4 Mid-Unit Test. I am aware that tests are worth 40% of my child s grade. Parent Signature MM1D1 a. Apply the addition
13-6 Probabilities of Mutually Exclusive Events
Determine whether the events are mutually exclusive or not mutually exclusive. Explain your reasoning. 1. drawing a card from a standard deck and getting a jack or a club The jack of clubs is an outcome
MATH STUDENT BOOK. 7th Grade Unit 6
MATH STUDENT BOOK 7th Grade Unit 6 Unit 6 Probability and Graphing Math 706 Probability and Graphing Introduction 3 1. Probability 5 Theoretical Probability 5 Experimental Probability 13 Sample Space 20
Finite Math - Fall 2016
Finite Math - Fall 206 Lecture Notes - /28/206 Section 7.4 - Permutations and Combinations There are often situations in which we have to multiply many consecutive numbers together, for example, in examples
Roll & Make. Represent It a Different Way. Show Your Number as a Number Bond. Show Your Number on a Number Line. Show Your Number as a Strip Diagram
Roll & Make My In Picture Form In Word Form In Expanded Form With Money Represent It a Different Way Make a Comparison Statement with a Greater than Your Make a Comparison Statement with a Less than Your
Intermediate Math Circles November 1, 2017 Probability I
Intermediate Math Circles November 1, 2017 Probability I Probability is the study of uncertain events or outcomes. Games of chance that involve rolling dice or dealing cards are one obvious area of application.
Unit 19 Probability Review
. What is sample space? All possible outcomes Unit 9 Probability Review 9. I can use the Fundamental Counting Principle to count the number of ways an event can happen. 2. What is the difference between
NUMB3RS Activity: A Bit of Basic Blackjack. Episode: Double Down
Teacher Page 1 : A Bit of Basic Blackjack Topic: Probability involving sampling without replacement Grade Level: 8-12 and dependent trials. Objective: Compute the probability of winning in several blackjack
50 Counting Questions
50 Counting Questions Prob-Stats (Math 3350) Fall 2012 Formulas and Notation Permutations: P (n, k) = n!, the number of ordered ways to permute n objects into (n k)! k bins. Combinations: ( ) n k = n!,
Concepts. Materials. Objective
. Activity 14 Let Us Count the Ways! Concepts Apply the multiplication counting principle Find the number of permutations in a data set Find the number of combinations in a data set Calculator Skills Factorial:
PRE TEST KEY. Math in a Cultural Context*
PRE TEST KEY Salmon Fishing: Investigations into A 6 th grade module in the Math in a Cultural Context* UNIVERSITY OF ALASKA FAIRBANKS Student Name: PRE TEST KEY Grade: Teacher: School: Location of School:
Section 5.4 Permutations and Combinations
Section 5.4 Permutations and Combinations Definition: n-factorial For any natural number n, n! n( n 1)( n 2) 3 2 1. 0! = 1 A combination of a set is arranging the elements of the set without regard to
A. M and D B. M and V C. M and F D. V and F 6. Which Venn diagram correctly represents the situation described? Rahim described the set as follows:
Multiple Choice 1. What is the universal set? A. a set with an infinite number of elements B. a set of all the elements under consideration for a particular context C. a set with a countable number of
Unit on Permutations and Combinations (Counting Techniques)
Page 1 of 15 (Edit by Y.M. LIU) Page 2 of 15 (Edit by Y.M. LIU) Unit on Permutations and Combinations (Counting Techniques) e.g. How many different license plates can be made that consist of three digits
Here are two situations involving chance:
Obstacle Courses 1. Introduction. Here are two situations involving chance: (i) Someone rolls a die three times. (People usually roll dice in pairs, so dice is more common than die, the singular form.)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
6. Practice Problems Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the probability. ) A bag contains red marbles, blue marbles, and 8
Answer each of the following problems. Make sure to show your work.
Answer each of the following problems. Make sure to show your work. 1. A board game requires each player to roll a die. The player with the highest number wins. If a player wants to calculate his or her
Section 5.4 Permutations and Combinations
Section 5.4 Permutations and Combinations Definition: n-factorial For any natural number n, n! = n( n 1)( n 2) 3 2 1. 0! = 1 A combination of a set is arranging the elements of the set without regard to
Assignment 5 unit3-4-radicals. Due: Friday January 13 BEFORE HOMEROOM
Assignment 5 unit3-4-radicals Name: Due: Friday January 13 BEFORE HOMEROOM Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write the prime factorization