1. What numbers sum to 10? ex. 1 9,

Size: px
Start display at page:

Download "1. What numbers sum to 10? ex. 1 9,"

Transcription

1 Basic Algebra No calculator unless specified otherwise.. What numbers sum to 0? e. 9, What coin combinations make a dollar? e. 4 quarters. 800/ Find Find. 8. What time is it? 7:40 9. Draw the hour and minute hand of a clock at time : How many zeros do the following large number have? Million 6 b. Billion 9 c. Trillion d. Quadrillion e. Googol What is Googolple? googol 0. Approimately how many stars are there in our universe? setillion 6.. Find. 7. Mentally multiply to up to e True or False: true 9. True or False: false 0. True or False: 0 0 true. 0/ 0. 0 undefined. 0 0 undefined 4. Evaluate 7 864

2 Mentally evaluate Use long division to evaluate Use long division to evaluate Identify the quotient, remainder, and divisor. b. Epress 00 c. True or False: 0. ( ). ( ). in the form means. ( ) ( )( ) ( ) ( )() ( / 4 ) / (( / ) ( / )) 4. / a b c but means

3 List the first perfect squares. 4. List the first perfect cubes.. Is 64 a perfect cube? 6. Is 80 a perfect cube? 7. Estimate the square root of List the first prime numbers (hint: is not considered to be a prime number). 9. What is the prime factorization of 80? 60. What are the prime factors of 80? 6. What is the greatest common factor of 4 and 6? 6. What is the least common multiple of 4 and 6? 6. What is the greatest common factor of 4, 0, and? 64. What is the least common multiple of 4, 0, and? 6. Convert to a decimal number: /0 b. / c. / d. / e. / Rewrite / as: A decimal number b. As a percent c. As a ratio 67. Epress 0.% as a: Decimal b. Fraction in lowest terms 68. Epress : as a fraction in lowest terms. 69. Draw a jar of jelly beans where three is a ratio of : white to black jelly beans. 70. A string is cut into three pieces whose lengths form a ratio of ::. If the string was 00 cm long, how long are the pieces? 7. Which of the following is the best buy? Deal A: 00 ml of juice for $.49. Deal B: 0 ml of juice for $.89. Deal C: 4L of juice for $.

4 7. You decide to build your own computer desktop. Click here to see how fast a new video card is. Which video card would you choose if you want a strong video card at the best value? Justify your answer by calculating the unit cost per PassMark performance unit P. 7. Suppose you earn a salary of $0,000 and are taed at a rate of 0%. How much take home case do you make each day? (assume 6 days in a year). b. Suppose you have the following monthly bills: rent ($,000), car bills ($00), student loans ($00). How much take home cash do you have left over each day? You still haven t paid for other things including: food, clothes, utilities, travel, investments, etc. 74. There is a buy one and get one free equal to or less than in value sale happening at your favorite clothing store. You buy three items at the following prices: shirt ($0), pants ($0), and a belt ($0). You qualify to get one of these items for free. With a ta rate of %, how much do you end up paying in total? 7. Suppose you have two Starbucks drinks a day at $6 for each drink. If you were to invest this money at a rate of 8% interest, how much money would you have by the time you retire? Try this compound interest calculator. 76. Simplify b. c Solve. 78. Distance Speed Time formula: d s t You travel at the rate of 0 m/s for 0 seconds. How far do you travel? Specify units. b. You travel 40 km in 8 hours. What is your average speed? 79. Solve the following basic equations 80. Epand: a a 0 b. 7 c. z z z ( ) b. ( ) c. ( 4 w ) d. ( t ) 8. Do you have to use cross multiplying to solve the following?

5 b. c. d. e. f. g. h. i. p t 4 7 w Draw a right triangle with square boes on each side to show that c a b is a plausible equation. 8. Challenge: Prove the Pythagorean Theorem. 84. Solve in the triangle below: 8. Solve in the triangle below: 86. Use the Pythagorean Theorem twice to find the diagonal distance across a 4 m bo. 87. (4 /) 88. / ( 6) 89. Simplify ( 4) ( 4) b. ( 7) ( ) c. nn ( 7) d. (k 0 k ) ( k) 90. Represent ( ) ( ) using algebra tiles.

Rational Expressions

Rational Expressions CHAPTER 6 Rational Epressions 6. Rational Functions and Multiplying and Dividing Rational Epressions 6. Adding and Subtracting Rational Epressions 6.3 Simplifying Comple Fractions 6. Dividing Polynomials:

More information

Foundations for Algebra. Introduction to Algebra I

Foundations for Algebra. Introduction to Algebra I Foundations for Algebra Introduction to Algebra I Variables and Expressions Objective: To write algebraic expressions. Objectives 1. I can write an algebraic expression for addition, subtraction, multiplication,

More information

Released 2010 Achievement Test. Mathematics GRADE

Released 2010 Achievement Test. Mathematics GRADE Released 2010 Achievement Test Mathematics GRADE 9 Use the following information to answer question 1. The letters on the number line below represent rational numbers. 1. The approximate value of 15 is

More information

Function: State whether the following examples are functions. Then state the domain and range. Use interval notation.

Function: State whether the following examples are functions. Then state the domain and range. Use interval notation. Name Period Date MIDTERM REVIEW Algebra 31 1. What is the definition of a function? Functions 2. How can you determine whether a GRAPH is a function? State whether the following examples are functions.

More information

Early Start: Worksheet #1 No calculator/phone use (11 16) (17 10)3

Early Start: Worksheet #1 No calculator/phone use (11 16) (17 10)3 Early Start: Worksheet #1 No calculator/phone use I. Perform the operations; simplify completely. a) 8 ( + 4) ( 7) + ( 1) b) (11 16) (17 10) c) 7 14 6 d) 1 6 5 e) 4 1 + f) 6 9() 10 + 5 5 1 5 4 g) 9 9 +

More information

5. Arrange the following decimal numbers in order from least to greatest

5. Arrange the following decimal numbers in order from least to greatest ( No Calculator Allowed) New material covered: F2.3-F2.4, F3.-F3.2, F4.-F4.2, and handouts Exercise Sets F3.2 & F4.2. Represent the shaded part of the 00 square grid a. as a fraction of the whole grid.

More information

MATH NUMBER SENSE 7 Performance Objective Task Analysis Benchmarks/Assessment Students:

MATH NUMBER SENSE 7 Performance Objective Task Analysis Benchmarks/Assessment Students: Students: 1. Students know the properties of and 1. Read, write and compare rational compute with rational numbers numbers in scientific notation (positive expressed in a variety of forms. and negative

More information

SECTION P.5. Factoring Polynomials. Objectives. Critical Thinking Exercises. Technology Exercises

SECTION P.5. Factoring Polynomials. Objectives. Critical Thinking Exercises. Technology Exercises BLITMCPB.QXP.0599_48-74 2/0/02 0:4 AM Page 48 48 Chapter P Prerequisites: Fundamental Concepts of Algebra Technology Eercises 98. The common cold is caused by a rhinovirus. The polynomial -0.75 4 + + 5

More information

Standards of Learning Content Review Notes. Grade 7 Mathematics 2 nd Nine Weeks,

Standards of Learning Content Review Notes. Grade 7 Mathematics 2 nd Nine Weeks, Standards of Learning Content Review Notes Grade 7 Mathematics 2 nd Nine Weeks, 2018-2019 Revised October 2018 1 2 Content Review: Standards of Learning in Detail Grade 7 Mathematics: Second Nine Weeks

More information

Massachusetts Tests for Educator Licensure (MTEL )

Massachusetts Tests for Educator Licensure (MTEL ) Massachusetts Tests for Educator Licensure (MTEL ) BOOKLET 2 Mathematics Subtest Copyright 2010 Pearson Education, Inc. or its affiliate(s). All rights reserved. Evaluation Systems, Pearson, P.O. Box 226,

More information

2-1 Writing Equations

2-1 Writing Equations Translate each sentence into an equation. 1. Three times r less than 15 equals 6. Rewrite the verbal sentence so it is easier to translate. Three times r less than 15 equals 6 is the same as 15 minus 3

More information

Unit 1 Foundations of Algebra

Unit 1 Foundations of Algebra 1 Unit 1 Foundations of Algebra Real Number System 2 A. Real Number System 1. Counting Numbers (Natural Numbers) {1,2,3,4, } 2. Whole Numbers { 0,1,2,3,4, } 3. Integers - Negative and Positive Whole Numbers

More information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics 6 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students compare and order positive and negative integers*, decimals, fractions, and mixed numbers. They find multiples*

More information

C. I. Quizzes Fifth Grade Math

C. I. Quizzes Fifth Grade Math C. I. Quizzes Fifth Grade Math Test 1 1. Continue the pattern and explain the rule. (I.A.) 2, 3, 5, 8, 12, 17, 23, 2. Illustrate and explain the meaning of 5.25. (II.A.) 3. Sara found a pair of shoes

More information

Pre-Algebra Semester 1 Practice Exam A

Pre-Algebra Semester 1 Practice Exam A . Evaluate y when = 0 and y = 6. 5 6 80. Which epression is equivalent to 5 5 + + + + + 5?. In math class, we follow the order of operations when evaluating epressions. Which is the second operation a

More information

Name Class Date. Simplifying Algebraic Expressions Going Deeper. Combining Expressions

Name Class Date. Simplifying Algebraic Expressions Going Deeper. Combining Expressions Name Class Date 1-5 1 Simplifying Algebraic Expressions Going Deeper Essential question: How do you add, subtract, factor, and multiply algebraic expressions? CC.7.EE.1 EXPLORE Combining Expressions video

More information

6 Linear Equations: Real

6 Linear Equations: Real www.ck12.org CHAPTER 6 Linear Equations: Real World Applications Chapter Outline 6.1 WRITING EQUATIONS 6.2 RATIOS AND PROPORTIONS 6.3 SCALE AND INDIRECT MEASUREMENT 6.4 PERCENT PROBLEMS Algebra can be

More information

Name Class Date. Essential question: How do you interpret, evaluate and write algebraic expressions that model real-world situations?

Name Class Date. Essential question: How do you interpret, evaluate and write algebraic expressions that model real-world situations? Name Class Date 1-1 1 Variables and Expressions Going Deeper Essential question: How do you interpret, evaluate and write algebraic expressions that model real-world situations? A-SSE.1.1a ENGAGE Interpreting

More information

Massachusetts Tests for Educator Licensure (MTEL )

Massachusetts Tests for Educator Licensure (MTEL ) Massachusetts Tests for Educator Licensure (MTEL ) Version 2 BOOKLET 2 Mathematics Subtest Copyright 2016 Pearson Education, Inc. or its affiliate(s). All rights reserved. Evaluation Systems, Pearson,

More information

MATHEMATICS. Perform a series of transformations and/or dilations to a figure. A FAMILY GUIDE FOR STUDENT SUCCESS 17

MATHEMATICS. Perform a series of transformations and/or dilations to a figure. A FAMILY GUIDE FOR STUDENT SUCCESS 17 MATHEMATICS In grade 8, your child will focus on three critical areas. The first is formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a

More information

Lesson 1. Unit 6 Practice Problems. Problem 1. Solution

Lesson 1. Unit 6 Practice Problems. Problem 1. Solution Unit 6 Practice Problems Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson

More information

Section 2.1 Objective 1: Determine If a Number Is a Solution of an Equation Video Length 5:19. Definition A in is an equation that can be

Section 2.1 Objective 1: Determine If a Number Is a Solution of an Equation Video Length 5:19. Definition A in is an equation that can be Section 2.1 Video Guide Linear Equations: The Addition and Multiplication Properties of Equality Objectives: 1. Determine If a Number Is a Solution of an Equation 2. Use the Addition Property of Equality

More information

algebraic expression angle exponent equation Vocabulary Flash Cards Review Review Review Review Review Review Big Ideas Math Red

algebraic expression angle exponent equation Vocabulary Flash Cards Review Review Review Review Review Review Big Ideas Math Red algebraic expression angle base (of a power) coordinate plane equation exponent expression factor A figure formed by two rays with the same endpoint An expression that contains numbers, operations, and

More information

Chapter 2 Exponentials and Logarithms

Chapter 2 Exponentials and Logarithms Chapter Eponentials and Logarithms The eponential function is one of the most important functions in the field of mathematics. It is widely used in a variety of applications such as compounded interest,

More information

Chapter 1: Fundamentals of Algebra Lecture notes Math 1010

Chapter 1: Fundamentals of Algebra Lecture notes Math 1010 Section 1.1: The Real Number System Definition of set and subset A set is a collection of objects and its objects are called members. If all the members of a set A are also members of a set B, then A is

More information

WORKSHEET ON NUMBERS, MATH 215 FALL. We start our study of numbers with the integers: N = {1, 2, 3,...}

WORKSHEET ON NUMBERS, MATH 215 FALL. We start our study of numbers with the integers: N = {1, 2, 3,...} WORKSHEET ON NUMBERS, MATH 215 FALL 18(WHYTE) We start our study of numbers with the integers: Z = {..., 2, 1, 0, 1, 2, 3,... } and their subset of natural numbers: N = {1, 2, 3,...} For now we will not

More information

8.1 Multiplication Properties of Exponents Objectives 1. Use properties of exponents to multiply exponential expressions.

8.1 Multiplication Properties of Exponents Objectives 1. Use properties of exponents to multiply exponential expressions. 8.1 Multiplication Properties of Exponents Objectives 1. Use properties of exponents to multiply exponential expressions. 2. Use powers to model real life problems. Multiplication Properties of Exponents

More information

MATHEMATICS PAPER 1 FORM FIVE. Question-Answer Book MATH PAPER 1. Index Number. St. Francis Xavier's College MOCK EXAMINATION ( )

MATHEMATICS PAPER 1 FORM FIVE. Question-Answer Book MATH PAPER 1. Index Number. St. Francis Xavier's College MOCK EXAMINATION ( ) 2009-2010 MATH PAPER 1 St. Francis Xavier's College MOCK EXAMINATION (2009-2010) MATHEMATICS PAPER 1 FORM FIVE Index Number Class Class Number Question-Answer Book Time allowed: 2 hours Total Number of

More information

MA Lesson 25 Section 2.6

MA Lesson 25 Section 2.6 MA 1500 Lesson 5 Section.6 I The Domain of a Function Remember that the domain is the set of x s in a function, or the set of first things. For many functions, such as f ( x, x could be replaced with any

More information

WESTMORELAND COUNTY PUBLIC SCHOOLS Integrated Instructional Pacing Guide and Checklist Foundations of Algebra

WESTMORELAND COUNTY PUBLIC SCHOOLS Integrated Instructional Pacing Guide and Checklist Foundations of Algebra WESTMORELAND COUNTY PUBLIC SCHOOLS 2011 2012 Integrated Instructional Pacing Guide and Checklist Foundations of Algebra FIRST QUARTER Units 1 2 3 4 6 7 8 9 (s) Integers 7.3 Polynomials Operations A.2 Perfect

More information

Gearing Up for Geometry!

Gearing Up for Geometry! Gearing Up for Geometry! Geometry is right around the corner and you need to make sure you are ready! Many of the concepts you learned in Algebra I will be used in Geometry and you will be epected to remember

More information

MATHEMATICS SUBTEST PRACTICE TEST APPENDIX VERSION 2: Multiple-Choice Question Analyses

MATHEMATICS SUBTEST PRACTICE TEST APPENDIX VERSION 2: Multiple-Choice Question Analyses MATHEMATICS SUBTEST PRACTICE TEST APPENDIX VERSION : Multiple-Choice Question Analyses Copyright 016 Pearson Education, Inc. or its affiliate(s). All rights reserved. Pearson and its logo are trademarks,

More information

CHAPTER 2 Solving Equations and Inequalities

CHAPTER 2 Solving Equations and Inequalities CHAPTER Solving Equations and Inequalities Section. Linear Equations and Problem Solving........... 8 Section. Solving Equations Graphically............... 89 Section. Comple Numbers......................

More information

2) If an athletic conference has 12 teams and each of the teams plays each of the other teams, how many games will there be?

2) If an athletic conference has 12 teams and each of the teams plays each of the other teams, how many games will there be? Pre-Algebra Review Worksheet Final Exam Mr. Cierech Name: Date: Chapter 1: Number Patterns 1) Find the next three numbers in the sequence: a) 4, 9, 14, 19, 4... b) 16, 8, 4,, 1, ) If an athletic conference

More information

MATH 081. Diagnostic Review Materials PART 2. Chapters 5 to 7 YOU WILL NOT BE GIVEN A DIAGNOSTIC TEST UNTIL THIS MATERIAL IS RETURNED.

MATH 081. Diagnostic Review Materials PART 2. Chapters 5 to 7 YOU WILL NOT BE GIVEN A DIAGNOSTIC TEST UNTIL THIS MATERIAL IS RETURNED. MATH 08 Diagnostic Review Materials PART Chapters 5 to 7 YOU WILL NOT BE GIVEN A DIAGNOSTIC TEST UNTIL THIS MATERIAL IS RETURNED DO NOT WRITE IN THIS MATERIAL Revised Winter 0 PRACTICE TEST: Complete as

More information

NUMBER. Here are the first 20 prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71.

NUMBER. Here are the first 20 prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71. NUMBER Types of Number Prime Numbers A prime number is a number which can only be divided by 1 or itself. The smallest prime number is 2. 2 can only be divided by 2 or 1. Here are the first 20 prime numbers:

More information

Destination Math California Intervention

Destination Math California Intervention Destination Math California Intervention correlated to the California Intervention 4 7 s McDougal Littell Riverdeep STANDARDS MAPS for a Mathematics Intervention Program (Grades 4-7) The standards maps

More information

2014 Leap Frog Relay Grades 9-10 Part I Solutions

2014 Leap Frog Relay Grades 9-10 Part I Solutions 014 Leap Frog Relay Grades 9-10 Part I Solutions No calculators allowed Correct Answer = 4, Incorrect Answer = 1, Blank = 0 1. The sum of the prime divisors of 014 is.... (a) 76 (c) 80 (b) 78 (d) 8 Solution.

More information

Mini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models

Mini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models Mini Lecture. Introduction to Algebra: Variables and Mathematical Models. Evaluate algebraic epressions.. Translate English phrases into algebraic epressions.. Determine whether a number is a solution

More information

A.5. Solving Equations. Equations and Solutions of Equations. Linear Equations in One Variable. What you should learn. Why you should learn it

A.5. Solving Equations. Equations and Solutions of Equations. Linear Equations in One Variable. What you should learn. Why you should learn it A46 Appendi A Review of Fundamental Concepts of Algebra A.5 Solving Equations What you should learn Identify different types of equations. Solve linear equations in one variable and equations that lead

More information

Finding a Percent of a Number (page 216)

Finding a Percent of a Number (page 216) LESSON Name 1 Finding a Percent of a Number (page 216) You already know how to change a percent to a fraction. Rewrite the percent as a fraction with a denominator of 100 and reduce. 25% = 25 100 = 1 5%

More information

Integers and Absolute Value (Pages 56 61)

Integers and Absolute Value (Pages 56 61) 2-1 Integers and Absolute Value (Pages 56 61) An integer is a number that is a whole number of units from zero on the number line. Integers to the left of zero are less than zero. They are negative. The

More information

Chapters 1-4 Review. Chapter 1 Symmetry and Surface Area

Chapters 1-4 Review. Chapter 1 Symmetry and Surface Area hapters 1-4 Review hapter 1 Symmetry and Surface Area 1. Sketch each shape showing its line(s of symmetry. Describe the lines of symmetry and the type of symmetry each shape has. a b 5. Reproduce the triangle

More information

Mapping Common Core State Standard Clusters and. Ohio Grade Level Indicator. Grade 7 Mathematics

Mapping Common Core State Standard Clusters and. Ohio Grade Level Indicator. Grade 7 Mathematics Mapping Common Core State Clusters and Ohio s Grade Level Indicators: Grade 7 Mathematics Ratios and Proportional Relationships: Analyze proportional relationships and use them to solve realworld and mathematical

More information

Intermediate Algebra Semester Summary Exercises. 1 Ah C. b = h

Intermediate Algebra Semester Summary Exercises. 1 Ah C. b = h . Solve: 3x + 8 = 3 + 8x + 3x A. x = B. x = 4 C. x = 8 8 D. x =. Solve: w 3 w 5 6 8 A. w = 4 B. w = C. w = 4 D. w = 60 3. Solve: 3(x ) + 4 = 4(x + ) A. x = 7 B. x = 5 C. x = D. x = 4. The perimeter of

More information

Algebra 1 Fall Review

Algebra 1 Fall Review Name Algebra 1 Fall Review 2013-2014 Date 1. Write an inequality to best represent the graph shown at right. (A.1.D.) m: b: inequality: 2. Write an inequality to best describe the graph shown at right.

More information

Pre-Algebra Semester 1 Practice Exam A

Pre-Algebra Semester 1 Practice Exam A . Evaluate xy when x 0 and y 6. 6 80. Which expression is equivalent to x x x xxx x x xxx x x?. In math class, we follow the order of operations when evaluating expressions. Which is the second operation

More information

Mini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models

Mini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models Mini Lecture. Introduction to Algebra: Variables and Mathematical Models. Evaluate algebraic epressions.. Translate English phrases into algebraic epressions.. Determine whether a number is a solution

More information

Mental Math. Grade 10 Essential Mathematics (20S) General Questions

Mental Math. Grade 10 Essential Mathematics (20S) General Questions G 1 1. You saved $10 in one year by putting aside the same amount each week. How much did you save each week? $2 2. You know that 0 is 120. What is 60? 20. Convert 6 litres to millilitres. 6000 ml. Is

More information

Chapter 7 - Exponents and Exponential Functions

Chapter 7 - Exponents and Exponential Functions Chapter 7 - Exponents and Exponential Functions 7-1: Multiplication Properties of Exponents 7-2: Division Properties of Exponents 7-3: Rational Exponents 7-4: Scientific Notation 7-5: Exponential Functions

More information

California 5 th Grade Standards / Excel Math Correlation by Lesson Number

California 5 th Grade Standards / Excel Math Correlation by Lesson Number (Activity) L1 L2 L3 Excel Math Objective Recognizing numbers less than a million given in words or place value; recognizing addition and subtraction fact families; subtracting 2 threedigit numbers with

More information

2-1 More on Solving Equations Wednesday, May 26, :22 PM

2-1 More on Solving Equations Wednesday, May 26, :22 PM 2-1 More on Solving Equations Wednesday, May 26, 2010 12:22 PM Objective: Students will solve basic equations Remember: Algebra is an Arabic word meaning: to "undo" and "balance" Solve: Solve b. Chapter

More information

Intermediate Mathematics League of Eastern Massachusetts

Intermediate Mathematics League of Eastern Massachusetts Intermediate Mathematics League of Eastern Massachusetts Category 1 Mystery 1. In recent elections, of the voters voted for candidate, and voted for candidate. If a total of voters participated, then how

More information

Year 4 Term 3 Homework

Year 4 Term 3 Homework Yimin Math Centre Year 4 Term 3 Homework Student Name: Grade: Date: Score: Table of contents 4 Year 4 Term 3 Week 4 Homework 1 4.1 Topic 1 Volume.................................... 1 4.2 Topic 2 Mass......................................

More information

PRE-ALGEBRA SUMMARY WHOLE NUMBERS

PRE-ALGEBRA SUMMARY WHOLE NUMBERS PRE-ALGEBRA SUMMARY WHOLE NUMBERS Introduction to Whole Numbers and Place Value Digits Digits are the basic symbols of the system 0,,,, 4,, 6, 7, 8, and 9 are digits Place Value The value of a digit in

More information

Name Period Date. RNS1.3 Scientific Notation Read and write large and small numbers. Use scientific notation to write numbers and solve problems.

Name Period Date. RNS1.3 Scientific Notation Read and write large and small numbers. Use scientific notation to write numbers and solve problems. Name Period Date REAL NUMBER SYSTEM Student Pages for Packet : RNS. Conjectures About Make conjectures about multiplication with eponents. Use eponent definitions and rules to simplify epressions. RNS.

More information

and (a, b) are relatively prime. Answer: False Solution: Let a = 2 and b = 4. Then [a, b] = 4, and (a, b) = 2, but [a,b]

and (a, b) are relatively prime. Answer: False Solution: Let a = 2 and b = 4. Then [a, b] = 4, and (a, b) = 2, but [a,b] 1. True or False? 1 is prime. Solution: It isn t. 2. True or False? For all real numbers a and b such that a < b, a 2 < b 2. Solution: As a counterexample, let a = 9 and b = 8. 3. True or False? If x,

More information

Inverse Variation Read 7.1 Examples 1-4

Inverse Variation Read 7.1 Examples 1-4 CC Algebra II HW #52 Name Period Row Date Inverse Variation Read 7.1 Eamples 1-4 Section 7.1 1. Vocabulary Eplain how direct variation equations and inverse variation equations are different. Tell whether

More information

Pre-Algebra 8 Semester 1 Practice Exam

Pre-Algebra 8 Semester 1 Practice Exam . Evaluate xy when x = 0 and y = 6. 6 80. Which expression is equivalent to x + x x + x+ x+ x+ x x x x x x x?. In math class, we follow the order of operations when evaluating expressions. Which is the

More information

Unit 1 - Solving Equations & Inequalities. Solve for x. 1) 5-6c + 3 = 50 2) 2x 6 = 8 3) 4x + 3b = j 3. 4) 5 x = 7 + y 5) 50x 75 > 100x 200 2

Unit 1 - Solving Equations & Inequalities. Solve for x. 1) 5-6c + 3 = 50 2) 2x 6 = 8 3) 4x + 3b = j 3. 4) 5 x = 7 + y 5) 50x 75 > 100x 200 2 Unit 1 - Solving Equations & Inequalities Solve for x. 1) 5-6c + 3 = 50 2) 2x 6 = 8 3) 4x + 3b = j 3 4) 5 x = 7 + y 5) 50x 75 > 100x 200 2 Write an equation for each. Do NOT solve. 6) Six is equal to the

More information

Intermediate Mathematics League of Eastern Massachusetts

Intermediate Mathematics League of Eastern Massachusetts Meet #4 February, 2003 Intermediate Mathematics League of Eastern Massachusetts www.imlem.org Meet #4 February, 2003 Category 1 Mystery You may use a calculator 1. The numbers 1, 5, 12, and 22 are called

More information

Visit us at: for a wealth of information about college mathematics placement testing!

Visit us at:   for a wealth of information about college mathematics placement testing! North Carolina Early Mathematics Placement Testing Program, 9--4. Multiply: A. 9 B. C. 9 9 9 D. 9 E. 9 Solution and Answer to Question # will be provided net Monday, 9-8-4 North Carolina Early Mathematics

More information

Ready To Go On? Skills Intervention 2-1 Solving Equations by Adding or Subtracting

Ready To Go On? Skills Intervention 2-1 Solving Equations by Adding or Subtracting Ready To Go On? Skills Intervention 2-1 Solving Equations by Adding or Subtracting Find these vocabulary words in Lesson 2-1 and the Multilingual Glossary. Vocabulary equation solution of an equation Solve

More information

ALGEBRA I END-OF-COURSE EXAM: PRACTICE TEST

ALGEBRA I END-OF-COURSE EXAM: PRACTICE TEST Page 1 ALGEBRA I END-OF-COURSE EXAM: PRACTICE TEST 1. Order the following numbers from least to greatest:, 6, 8.7 10 0, 19 b. 19,, 8.7 100, 6 6, 8.7 10 0,, 19 c. d. 8.7 10 0,, 19, 6, 6, 19, 8.7 100. If

More information

NOTES. [Type the document subtitle] Math 0310

NOTES. [Type the document subtitle] Math 0310 NOTES [Type the document subtitle] Math 010 Cartesian Coordinate System We use a rectangular coordinate system to help us map out relations. The coordinate grid has a horizontal axis and a vertical axis.

More information

2014 Math 100 Developmental Math I Fall 2014 R. Getso South Texas College

2014 Math 100 Developmental Math I Fall 2014 R. Getso South Texas College 2014 Math 100 Developmental Math I Fall 2014 R. Getso South Texas College Course Contents Module I 1.7 Exponents and Order of Operations... 1 1.8 Introduction to Variables, Algebraic Expressions, and

More information

WORKBOOK. MTH 01 - FUNDAMENTAL CONCEPTS AND SKILLS IN ARITHMETIC AND ALGEBRA. DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE

WORKBOOK. MTH 01 - FUNDAMENTAL CONCEPTS AND SKILLS IN ARITHMETIC AND ALGEBRA. DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE WORKBOOK. MTH 01 - FUNDAMENTAL CONCEPTS AND SKILLS IN ARITHMETIC AND ALGEBRA. DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Contributors: M. Bates, U. N. Iyer Department of Mathematics and Computer Science,

More information

Bishop Kelley High School Summer Math Program Course: Algebra 2 A

Bishop Kelley High School Summer Math Program Course: Algebra 2 A 06 07 Bishop Kelley High School Summer Math Program Course: Algebra A NAME: DIRECTIONS: Show all work in packet!!! The first 6 pages of this packet provide eamples as to how to work some of the problems

More information

Algebra Readiness. Curriculum (445 topics additional topics)

Algebra Readiness. Curriculum (445 topics additional topics) Algebra Readiness This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize the

More information

Indiana Core 40 End-of-Course Assessment Algebra I Blueprint*

Indiana Core 40 End-of-Course Assessment Algebra I Blueprint* Types of items on the Algebra I End-of-Course Assessment: Multiple-choice 1 point per problem The answer to the question can be found in one of four answer choices provided. Numeric response 1 point per

More information

Unit Essential Questions. What are the different representations of exponents? Where do exponents fit into the real number system?

Unit Essential Questions. What are the different representations of exponents? Where do exponents fit into the real number system? Unit Essential Questions What are the different representations of exponents? Where do exponents fit into the real number system? How can exponents be used to depict real-world situations? REAL NUMBERS

More information

2. Which of the following expressions represents the product of four less than three times x and two more than x?

2. Which of the following expressions represents the product of four less than three times x and two more than x? Algebra Topics COMPASS Review You will be allowed to use a calculator on the COMPASS test. Acceptable calculators are: basic calculators, scientific calculators, and graphing calculators up through the

More information

Middle School Math 2 Grade 7

Middle School Math 2 Grade 7 Unit Activity Correlations to Common Core State Standards Middle School Math 2 Grade 7 Table of Contents Ratios and Proportional Relationships 1 The Number System 2 Expressions and Equations 5 Geometry

More information

KNOWLEDGE OF NUMBER SENSE, CONCEPTS, AND OPERATIONS

KNOWLEDGE OF NUMBER SENSE, CONCEPTS, AND OPERATIONS DOMAIN I. COMPETENCY 1.0 MATHEMATICS KNOWLEDGE OF NUMBER SENSE, CONCEPTS, AND OPERATIONS Skill 1.1 Compare the relative value of real numbers (e.g., integers, fractions, decimals, percents, irrational

More information

Mathematics Department Columbia High School. Advanced Algebra 2 Summer Packet

Mathematics Department Columbia High School. Advanced Algebra 2 Summer Packet Mathematics Department Columbia High School Advanced Algebra Summer Packet This summer packet is for students entering Advanced Algebra (10-5) for the Fall. The material contained in this packet represents

More information

Section 2.2 Objectives

Section 2.2 Objectives Section 2.2 Objectives Solve multi-step equations using algebra properties of equality. Solve equations that have no solution and equations that have infinitely many solutions. Solve equations with rational

More information

Rising 7 th Grade Summer Assignment

Rising 7 th Grade Summer Assignment Rising 7 th Grade Summer Assignment Concept 1 - Negative Numbers/Absolute Value (6.NS.5, 6a, 7abcd) Negative Numbers On a number line, numbers get to the right and to the left. Any number to the left of

More information

2.1 Simplifying Algebraic Expressions

2.1 Simplifying Algebraic Expressions .1 Simplifying Algebraic Expressions A term is a number or the product of a number and variables raised to powers. The numerical coefficient of a term is the numerical factor. The numerical coefficient

More information

Dear Parents, Guardians, and Students:

Dear Parents, Guardians, and Students: Dear Parents, Guardians, and Students: During the summer, students who will be enrolled in Algebra net year are required to complete a portfolio of mathematics problems. The purpose of this eperience is

More information

Math 1 Variable Manipulation Part 4 Word Problems

Math 1 Variable Manipulation Part 4 Word Problems Math 1 Variable Manipulation Part 4 Word Problems 1 TRANSLATING FROM ENGLISH INTO ALGEBRA (PLUG IN) The next part of variable manipulation problems is to figure out the problem from real life situations.

More information

2. Place the following numbers in order from smallest to largest:

2. Place the following numbers in order from smallest to largest: MAT08 Final Exam Review Note to students: The final exam for this course will consist of 0 multiple-choice questions and a few open-ended questions. You may use a calculator on the exam, but no notes of

More information

Solving Linear Systems: Substitution

Solving Linear Systems: Substitution 1.4 Solving Linear Systems: Substitution GOAL Solve a system of linear equations using an algebraic strategy. LEARN ABOUT the Math Marla and Nancy played in a volleyball marathon for charity. They played

More information

TEST ITEMS WORKING COLUMN

TEST ITEMS WORKING COLUMN SECTION 1 Answer ALL questions. Each question is worth 1 mark Show ALL: working in the Working Column NO TEST ITEMS WORKING COLUMN 1 Express 3/8 as a percent 2 What is the value of the 6 in 80.36? 3 Arrange

More information

RP7-31 Using Proportions to Solve Percentage Problems I

RP7-31 Using Proportions to Solve Percentage Problems I RP-1 Using Proportions to Solve Percentage Problems I These are equivalent statements: 6 of the circles are shaded. of the circles are shaded. 6 is of. 6 : : part whole 1. Write four equivalent statements

More information

My Math Plan Assessment #1 Study Guide

My Math Plan Assessment #1 Study Guide My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.

More information

Algebra Practice Set. *Evaluate number and algebraic expressions using rational numbers and Order of Operations

Algebra Practice Set. *Evaluate number and algebraic expressions using rational numbers and Order of Operations Algebra Practice Set Expressions *Evaluate number and algebraic expressions using rational numbers and Order of Operations *Translate algebraic expressions into words using appropriate language *Write

More information

Answers Investigation 4

Answers Investigation 4 Answers Investigation Applications. a. 7 gallons are being pumped out each hour; students may make a table and notice the constant rate of change, which is - 7, or they may recognize that - 7 is the coefficient

More information

Algebra II. Slide 1 / 261. Slide 2 / 261. Slide 3 / 261. Linear, Exponential and Logarithmic Functions. Table of Contents

Algebra II. Slide 1 / 261. Slide 2 / 261. Slide 3 / 261. Linear, Exponential and Logarithmic Functions. Table of Contents Slide 1 / 261 Algebra II Slide 2 / 261 Linear, Exponential and 2015-04-21 www.njctl.org Table of Contents click on the topic to go to that section Slide 3 / 261 Linear Functions Exponential Functions Properties

More information

addend angle composite number capacity Vocabulary Flash Cards Review Review Review Review Review Review

addend angle composite number capacity Vocabulary Flash Cards Review Review Review Review Review Review addend angle area bar graph capacity composite number cubic units difference A figure formed by two rays with the same endpoint A number to be added to another number. 2 or 3 in the sum 2 + 3. A graph

More information

Algebra I Semester 2 Practice Exam DRAFT

Algebra I Semester 2 Practice Exam DRAFT Algebra I Semester Practice Eam 1. What is the -coordinate of the point of intersection for the two lines below? 6 7 y y 640 8 13 4 13. What is the y-coordinate of the point of intersection for the two

More information

spring98a Math A Regents Exam Test Sampler spring ) ) 2.5

spring98a Math A Regents Exam Test Sampler spring ) ) 2.5 spring98a For what value of x will 8 and x have the same mean (average) as 27 and 5? ).5 2) 8 3) 24 4) 40 6 Which is a factor of x 2 + 5x 24? ) (x + 4) 2) (x 4) 3) (x + 3) 4) (x 3) 2 If 2x = 4(x + 5),

More information

Name. Unit 1 Worksheets Math 150 College Algebra and Trig

Name. Unit 1 Worksheets Math 150 College Algebra and Trig Name Unit 1 Worksheets Math 10 College Algebra and Trig Revised: Fall 009 Worksheet 1: Integral Eponents Simplify each epression. Write all answers in eponential form. 1. (8 ). ( y). (a b ). y 6. (7 8

More information

St. Ann s Academy - Mathematics

St. Ann s Academy - Mathematics St. Ann s Academy - Mathematics Students at St. Ann s Academy will be able to reason abstractly and quantitatively. Students will define, explain, and understand different types of word problems (simple

More information

ALGEBRA CLAST MATHEMATICS COMPETENCIES

ALGEBRA CLAST MATHEMATICS COMPETENCIES 2 ALGEBRA CLAST MATHEMATICS COMPETENCIES IC1a: IClb: IC2: IC3: IC4a: IC4b: IC: IC6: IC7: IC8: IC9: IIC1: IIC2: IIC3: IIC4: IIIC2: IVC1: IVC2: Add and subtract real numbers Multiply and divide real numbers

More information

California 3 rd Grade Standards / Excel Math Correlation by Lesson Number

California 3 rd Grade Standards / Excel Math Correlation by Lesson Number California 3 rd Grade Standards / Lesson (Activity) L1 L2 L3 L4 L5 L6 L7 L8 Excel Math Lesson Objective Learning about the tens place and the ones place; adding and subtracting two-digit numbers; learning

More information

Answers of the MATH97 Practice Test Form A

Answers of the MATH97 Practice Test Form A Answers of the MATH97 Practice Test Form A A1) Answer B Section 1.2: concepts of solution of the equations. Pick the pair which satisfies the equation 4x+y=10. x= 1 and y=6 A2) Answer A Section 1.3: select

More information

Free Pre-Algebra Lesson 59! page 1

Free Pre-Algebra Lesson 59! page 1 Free Pre-Algebra Lesson 59! page 1 Lesson 59: Review for Final Exam Section VII. Proportions and Percents Comprehensive Practice Lessons 37-42 Lesson 37: Scale and Proportion Skill: Write ratios of sides

More information

Agile Mind Grade 7 Scope and Sequence, Common Core State Standards for Mathematics

Agile Mind Grade 7 Scope and Sequence, Common Core State Standards for Mathematics In Grade 6, students developed an understanding of variables from two perspectives as placeholders for specific values and as representing sets of values represented in algebraic relationships. They applied

More information

Algebra I H Semester 2 Practice Exam DRAFT

Algebra I H Semester 2 Practice Exam DRAFT Algebra I H Semester Practice Eam 1. What is the -coordinate of the point of intersection for the two lines below? 6 7 y y 640 8 13 4 13. What is the y-coordinate of the point of intersection for the two

More information

Name Period Date DRAFT

Name Period Date DRAFT Name Period Date Equations and Inequalities Student Packet 4: Inequalities EQ4.1 EQ4.2 EQ4.3 Linear Inequalities in One Variable Add, subtract, multiply, and divide integers. Write expressions, equations,

More information