when r x when x 5 9 Was the expression evaluated correctly using the order of operations? If not, find and correct the error.
|
|
- Derek Kennedy
- 6 years ago
- Views:
Transcription
1 Practice A For use with pages 8 13 Name the operation that would be performed first p (14 2 5) p p (7 2 3) p p p (8 2 3) p x 1 3 when x b 2 1 when b m 2 when m y when y p 2a 3 when a c 2 2 2c when c n 3 when n } r when r x when x 5 9 Was the expression evaluated correctly using the order of operations? If not, find and correct the error p (8 1 10) Baseball In your last three baseball games, you scored 4 runs, 1 run, and 1 run, respectively. The average number of runs you scored for the three games is given by the expression } Find the average number of runs per game. 28. Knitting You are buying yarn for a knitting project. One skein of yarn in a basic color costs $3.99 and one skein of yarn in a fashion color costs $5.99. The total cost of buying 5 skeins of basic yarn and 2 skeins of fashion yarn is given by the expression 5 p p Find the total cost of the yarn. 29. Desk Lamp You are buying a desk lamp for your study area. The lamp is $32 but is on sale for 75% of the original price. If you pay 5% sales tax, the expression 1.05(0.75 p 32) represents the total cost of the lamp. Find the total cost of the lamp. 30. Bowling A local bowling alley charges $4.50 to play one game and $4 to rent one pair of shoes. The expression 4.5g 1 4 represents the total cost for you to play g games. How much would it cost you to bowl 4 games? 19
2 Practice B For use with pages p p } 3 p (6 2 2) (4 1 5) 9. p ( ) p } 5 (3 p 20) x when x m when m y 2 when y c 2 2 2c when c p 18t 2 when t 5 1 } } n 1 n when n (x 1 5) when x a } a 2 6 when a d 2 } d 1 1 when d Was the expression evaluated correctly using the order of operations? If not, find and correct the error } 3 (15) Tournament During a bowling tournament, you bowled three games with scores of 110, 130, and 129, respectively. Your average bowling score is given by }} 3. What is your average score? 24. Painting Three weeks ago, an art supply store started selling a paint kit for 75% of the original price. Now the kit is 15% off of the sale price. The expression 0.75x (0.75x) represents the current price of the paint kit where x is the kit s original price (in dollars). Find the current price of the kit if it originally cost $ Crown Molding You are decorating the perimeter of the ceiling of your living room with crown molding. The expression 2x 1 2y represents the total amount of molding you need where x is the width of the room (in feet) and y is the length of the room (in feet). Find the total amount of wood you need if the room is 11 feet wide and 10.5 feet long. 26. Core Sample Before a structure is built on a plot of land, it is 3 in. sometimes necessary to test the surface beneath the plot of land to determine its integrity. So, it may be necessary to take a core sample which is cylindrical in shape. Find the volume of the core sample shown by using the expression πr 2 h where r is the radius (in inches) and h is the height (in inches) of the cylinder. Use 3.14 for π. 36 in. 20
3 Practice C For use with pages p p p ( ) } [(4 1 9) ] F 3 } 4 (17 2 9) 2 G ( ) 11. 3[7( ) 1 5] [17 2 (5 2 3) 2 ] 13. 6(m 2 4) when m y when y x 2 3x 2 when x x 2 1 2x when x 5 1 } (m 2 1) } 2m 1 3 when m t } t 2 3 when t x 2 2 3y 2 when x 5 8 and y m 1 4 } 3n when m 5 4 and n Was the expression evaluated correctly using the order of operations? If not, find and correct the error. 2 } 3 ( ) ( ) (9 2 8) (1) Picture Frames You are purchasing wood to make 5 picture frames that are all the same size. The expression 5(2x 1 2y) represents the total amount of wood you need to make the frames where x is the width of a frame (in inches) and y is the length of a frame (in inches). Find the amount of wood you need to make the frames if each frame is 8.25 inches wide and 10.5 inches long. 23. Postal Service The United States Postal Service requires that the dimensions of a package mailed by parcel post using regular rates meet certain standards. One standard is that the expression h 1 (2l 1 2w), where h is the package s height, l is the package s length, and w is the package s width, cannot be greater than 108 inches. Does the package below meet this standard? 24.5 in in. 28 in. 24. Golfing One way a golfer can evaluate his or her playing is by using a number called a handicap. The first step to calculating your handicap is to calculate your handicap differential. The handicap differential is given by the expression [(s 2 c) p 113] 4 l, where s is your game score, c is the course rating of the course you played, and l is the slope rating of the course. You played a course with a 72.1 course rating and a 129 slope rating. Your score was 90. What is the handicap differential for the game? Round your answer to the nearest tenth. 21
4 Challenge Practice For use with pages 8 13 In Exercises 1 and 2, insert grouping symbols in the expression so that the value of the expression is a. 1. a a Insert grouping symbols in the expression so that the value of the expression is (a) the minimum value and (b) the maximum value. 4. A type of tree doubles its diameter every 10 years. If the tree is currently 1 inch in diameter, in how many years will the tree be 16 inches in diameter? 5. Due to improvements in design and manufacturing, the speed of a new computer doubles every 1 } 1 2 years. In how many years from now will computers be approxi mately 1000 times faster than they are now? 6. Due to improvements in manufacturing, the cost of a model of computer decreases by } 1 2 every 1 } 1 2 years. How many years will it take before a $2000 computer decreases in price to $250? 26
5 Investigating Algebra Activity: Evaluating Expressions For use before Lesson Materials: paper and pencil QUESTION How can you evaluate an expression? EXPLORE Evaluate expressions Evaluate each expression. (a) (b) (c) (d) STEP 1 Evaluate from left to right Evaluate each expression from left to right. (a) (b) (c) (d) STEP 2 Perform multiplication and division first Evaluate each expression from left to right, performing multiplication and division first and then going back and adding and subtracting. (a) (b) (c) (d) STEP 3 Compare results As you can see, in parts (a) and (b) you get two different answers to the same problem while in parts (c) and (d) the answers are the same. Everyone needs to get the same answer, so the rule is to perform the operations in the same way it was done in Step 2. Use your observations to complete these exercises Evaluate the expression by first multiplying and dividing and then adding and subtracting. Then evaluate the expression from left to right and tell which expressions have incorrect answers
6 Study Guide For use with pages 8213 GOAL Use the order of operations to evaluate expressions. Vocabulary The order of operations was established to evaluate an expression involving more than one operation. Order of Operations STEP 1 Evaluate expressions inside grouping symbols. STEP 2 Evaluate powers. STEP 3 Multiply and divide from left to right. STEP 4 Add and subtract from left to right. EXAMPLE 1 Evaluate expressions Evaluate the expression 4 2 p Solution 4 2 p p Evaluate powers Multiply Subtract. EXAMPLE 2 Exercises for Example p p Evaluate expressions with grouping symbols a (9 1 12) b. 6[2 3 1 (13 2 8)] Solution a (9 1 12) (21) Add within parentheses Multiply. 5 5 Subtract. b. 6[2 3 1 (13 2 8)] 5 6[8 1 (13 2 8)] Evaluate power. 5 6[8 1 5] Subtract within the parentheses. 5 6[13] Add within the parentheses Multiply. 22
7 Study Guide continued For use with pages 8213 Exercises for Example (14 2 5) 5. 6( ) 6. (7 1 5) 2 (8 1 4) 7. ( ) (2 1 8) 9. 9[15 4 (2 1 3)] EXAMPLE 3 Evaluate an algebraic expression Evaluate the expression 4y 1 8 } 2 1 y when y 5 3. Solution 4y 1 8 } 5 } 4(3) y Substitute 3 for y } Multiply } 5 Add. 5 4 Divide. Exercises for Example 3 Evaluate the expression when w w 11. w w } w (13 2 w) 14. 2w w 2 1 } 3 w 23
8 Math and History Application For use with pages 8 13 History Few details of Muhammad ibn Musa al-khwarizmi s life are known. He was born around 790 A.D. in the town of Khwarizm (now Khiva), in the Khorasan province of Persia (now in Uzbekistan) and died around 840 A.D. His family moved to a place near Baghdad soon after he was born. He studied at the House of Wisdom in Baghdad and wrote on several subjects including mathematics, astronomy, cartography, and geography. One of his mathematics books, titled Al-Jebr W al-muqabala, gave us the word algebra from al-jebr. The word al-jebr originally meant to move a negative term to the other side of an equation. The word al-muqabala meant to balance an equation. In time however, the term al-jebr, or algebra, came to include all operations involved in modern algebra. The purpose of the book, in al-khwarizmi s own words, was to teach: what is easiest and most useful in arithmetic, such as men constantly require in cases of inheritance, legacies, partition, lawsuits, and trade, and in all their dealings with one another, or where the measuring of the lands, the digging of canals, geometrical computations, and other objects of various sorts and kinds are concerned. The book was intended to be highly practical and algebra was introduced to solve real-life problems that were part of everyday life in the Arab empire at that time. How modern algebra is taught and the use of algorithms can be traced to al-khwarizmi s work. Math In Al-Jebr W al-muqabala, al-khwarizmi did not use any symbols, not even numerals, and he expressed everything in words. This book was used as an algebra text for hundreds of years. He used a systematic and logical approach to solving linear and quadratic equations which is still used today. 1. Explain why al-khwarizmi may have written an algebra book without using any symbols. If your algebra book was written without using symbols, estimate how many pages would be needed. 2. The steps taken to solve an expression such as } 3 p may have been written in al-khwarizmi s Al-Jebr W al-muqabala as follows. I multiplied three and eight and got twenty-four, then subtracted four and got twenty; finally I divided twenty by two and got ten. Write two algebraic expressions and evaluate. Next, write the steps taken to evaluate the expression in words without using symbols. 25
Invention of Algebra by Arab Mathematicians. Alex Gearty, Shane Becker, Lauren Ferris
Invention of Algebra by Arab Mathematicians Alex Gearty, Shane Becker, Lauren Ferris The Algebra of Squares and Roots The Hindu-Arabic Numeral System - Here we see the evolution of the Brahmi system as
More informationMath 074 Final Exam Review. REVIEW FOR NO CALCULATOR PART OF THE EXAM (Questions 1-14)
Math 074 Final Exam Review REVIEW FOR NO CALCULATOR PART OF THE EXAM (Questions -4) I. Can you add, subtract, multiply and divide fractions and mixed numbers?. Perform the indicated operations. Be sure
More informationWhich of the following is an irrational number? a) 2.8 b) 19
Which of the following is an irrational number? a) 2.8 b) 19 c)!! d) 81 A discounted ticket for a football game costs $12.50 less than the original price p. You pay $63 for a discounted ticket. Write and
More informationThird Grade Report Card Rubric 1 Exceeding 2 Meeting 3 Developing 4 Area of Concern
Concepts Assessed by Unit and Trimester Units 5, 6, 7, 8 Units 5, 6, 7 Units 5, 6, 7, 8 1 Exceeding 2 Meeting 3 Developing 4 Area of Concern Student exceeds expectations of this unit Student is meeting
More informationOnce they had completed their conquests, the Arabs settled down to build a civilization and a culture. They became interested in the arts and
The Islamic World We know intellectual activity in the Mediterranean declined in response to chaos brought about by the rise of the Roman Empire. We ve also seen how the influence of Christianity diminished
More information1-1. The Language of Algebra. Vocabulary. Lesson
Chapter 1 Lesson 1-1 The Language of Algebra BIG IDEA Algebra is a language with expressions and sentences. There are precise rules for evaluating algebraic expressions so that the meaning and values of
More informationREVIEW: HSPA Skills 2 Final Exam June a) y = x + 4 b) y = 2x + 5 c) y = 3x +2 d) y = 2x + 3
Part I- Multiple Choice: 2 points each: Select the best possible answer. 1) The nutrition label of cookies states that there are 20 servings in a box and that one serving contains 1.5 grams of fat. Kyle
More informationName: Class: Date: ID: A
Name: Class: Date: ID: A 6A Short Answer Solve the equation. 1.!5d! 24 =!4(d + 6)! d Write the inequality for the graph. 2. 3. 4. 5. Solve the inequality. 6. p + 7
More informationSolve Quadratic Equations by Completing the Square
10.5 Solve Quadratic Equations by Completing the Square Before You solved quadratic equations by finding square roots. Now You will solve quadratic equations by completing the square. Why? So you can solve
More informationName 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 informationMTH 65-Steiner Exam #1 Review: , , 8.6. Non-Calculator sections: (Solving Systems), Chapter 5 (Operations with Polynomials)
Non-Calculator sections: 4.1-4.3 (Solving Systems), Chapter 5 (Operations with Polynomials) The following problems are examples of the types of problems you might see on the non-calculator section of the
More informationLesson 2: Introduction to Variables
In this lesson we begin our study of algebra by introducing the concept of a variable as an unknown or varying quantity in an algebraic expression. We then take a closer look at algebraic expressions to
More informationMathematics. Standards Plus. Grade COMMON CORE INTERVENTION SAMPLER
Mathematics Standards Plus COMMON CORE INTERVENTION Grade 7 SAMPLER Standards Plus COMMON CORE INTERVENTION Available for Grades 1-8 Language Arts and Math Standards Plus COMMON CORE INTERVENTION Mathematics
More informationFinding 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 informationAlgebra II/Trig Final Review
Class: Date: Algebra II/Trig Final Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which is the graph of y = 2(x 2) 2 4? a. c. b. d. Short Answer
More informationT f. en s. Unit 1 Rates and Proportional Relationships 9. Unit 2 The Number System 31. Unit 3 Expressions and Equations 53. Unit 4 Geometry 79
T f a ble o Co n t en s t Introduction to Get Set for Math.... 4 How to Answer Test Questions.... 5 Unit 1 Rates and Proportional Relationships 9 7.RP.1 Lesson 1 Ratios and Rates.... 10 7.RP.2.a, b Lesson
More informationArchdiocese 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 information1. (+5) x ( 6) = 2. ( 6) x ( 7) = 3. ( 9) x ( 10) = 4. ( 10) x (+12) = 5. ( 5) x ( 8) = 6. ( 16) x ( 11) = 7. (+4) x ( 15) = 8.
LESSON PRACTICE Multiply. A. (+5) x ( 6) =. ( 6) x ( ) =. ( 9) x ( 0) =. ( 0) x (+) = 5. ( 5) x ( 8) = 6. ( 6) x ( ) =. (+) x ( 5) = 8. ( 8) x ( 6) = 9. ( 6) x (+) = 0. ( ) x (+) =. ( 8) x ( ) =. ( ) x
More informationMATH 0030 Lecture Notes Section 2.1 The Addition Property of Equality Section 2.2 The Multiplication Property of Equality
MATH 0030 Lecture Notes Section.1 The Addition Property of Equality Section. The Multiplication Property of Equality Introduction Most, but not all, salaries and prices have soared over the decades. To
More informationWriting and Graphing Inequalities
4.1 Writing and Graphing Inequalities solutions of an inequality? How can you use a number line to represent 1 ACTIVITY: Understanding Inequality Statements Work with a partner. Read the statement. Circle
More informationEureka Math. Grade, Module. Student _B Contains Sprint and Fluency, Exit Ticket, and Assessment Materials
A Story of Eureka Math Grade, Module Student _B Contains Sprint and Fluency,, and Assessment Materials Published by the non-profit Great Minds. Copyright 2015 Great Minds. All rights reserved. No part
More information2012 Pellissippi State Middle School Math Competition. Sponsored by: Oak Ridge Associated Universities
2012 Pellissippi State Middle School Math Competition Sponsored by: Oak Ridge Associated Universities 8 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers
More informationMy 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 informationFoundations 5 Curriculum Guide
1. Review: Natural Numbers...3 2. Reading and Writing Natural Numbers...6 3. Lines, Rays, and Line Segments...8 4. Comparing Natural Numbers... 12 5. Rounding Numbers... 15 6. Adding Natural Numbers...
More informationMath 7 Homework # 46 M3 L1
Name Date Math 7 Homework # 46 M3 L1 Lesson Summary Terms that contain exactly the same variable symbol can be combined by addition or subtraction because the variable represents the same number. Any order,
More informationName Class Date. Expanding Algebraic Expressions. 4. Use the Distributive Property to expand the expression 7(9x 2).
Name Class Date Practice 7-1 Expanding Algebraic Expressions 7-1 Expanding Algebraic Expressions 1. Find a sum equivalent to the product 6(y + x). 2. Find a difference equivalent to the product 11(x y).
More informationMultiplication and Division
UNIT 3 Multiplication and Division Skaters work as a pair to put on quite a show. Multiplication and division work as a pair to solve many types of problems. 82 UNIT 3 MULTIPLICATION AND DIVISION Isaac
More informationSt. Michael s Episcopal School. Summer Math
St. Michael s Episcopal School Summer Math for rising 7th & 8 th grade Algebra students 2017 Eighth Grade students should know the formulas for the perimeter and area of triangles and rectangles, the circumference
More informationReady 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 informationDear 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 informationAlgebra 2 Trig Final Exam Review
Name: Class: Date: Algebra Trig Final Exam Review 06-07 Multiple Choice Identify the choice that best completes the statement or answers the question.. 5 0 0 7 0 0 5 7 0 0 0 0 È 5 7 none of these. In May,
More informationEarly 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 informationSouth Brunswick Schools
South Brunswick Schools Summer Packet For Rising Honors Algebra students Directions: All students entering Honors Algebra are expected to be proficient in all their previously-learned algebra and geometry
More informationGrade 7 Mathematics Test Booklet
Student Name P Grade Test Booklet Practice Test TEST BOOKLET SECURITY BARCODE Unit 1 Unit 1 Directions: Today, you will take Unit 1 of the Grade Practice Test. Unit 1 has two sections. In the first section,
More informationName Date Class. 5 y x + 7
Name Date Class 7.EE.1 SELECTED RESPONSE Select the correct answer. 1. What property allows the expression.7x + 10. + 15.3x 8.x + 15.6 to be simplified to the equivalent expression 0x + 10. 8.x + 15.6?
More informationUNIT 5 INEQUALITIES CCM6+/7+ Name: Math Teacher:
UNIT 5 INEQUALITIES 2015-2016 CCM6+/7+ Name: Math Teacher: Topic(s) Page(s) Unit 5 Vocabulary 2 Writing and Graphing Inequalities 3 8 Solving One-Step Inequalities 9 15 Solving Multi-Step Inequalities
More informationGrade Common Core Math
th 5 Grade Common Core Math Operations and Algebraic Thinking Printable Review Problems Standards Included: -Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with
More information2. What are the zeros of (x 2)(x 2 9)? (1) { 3, 2, 3} (2) { 3, 3} (3) { 3, 0, 3} (4) {0, 3} 2
ALGEBRA 1 Part I Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write on the space provided the numeral preceding
More informationAdd, Subtract, Multiply, Divide Rational Numbers Evaluate each expression.
-1- Worksheet by Kuta Software LLC Math 7 NO CALCULATORS Add, Subtract, Multiply, Divide Rational Numbers Evaluate each expression. 1) ( 7) + ( 4) + 7 2) ( 4) + 8 ( 2) ID: 1 Name Date Period 3) ( 1) (
More informationALGEBRA 1 SEMESTER 1 INSTRUCTIONAL MATERIALS Courses: Algebra 1 S1 (#2201) and Foundations in Algebra 1 S1 (#7769)
Multiple Choice: Identify the choice that best completes the statement or answers the question. 1. Ramal goes to the grocery store and buys pounds of apples and pounds of bananas. Apples cost dollars per
More informationExpressions & Equations Chapter Questions. 6. What are two different ways to solve equations with fractional distributive property?
Expressions & Equations Chapter Questions 1. Explain how distribution can simplify a problem. 2. What are like terms? 3. How do you combine like terms? 4. What are inverse operations? Name them. 5. How
More informationStandards 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 informationLooking Ahead to Chapter 4
Looking Ahead to Chapter Focus In Chapter, you will learn about functions and function notation, and you will find the domain and range of a function. You will also learn about real numbers and their properties,
More informationEvaluate algebraic expressions and use exponents. Translate verbal phrases into expressions.
Algebra 1 Notes Section 1.1: Evaluate Expressions Section 1.3: Write Expressions Name: Hour: Objectives: Section 1.1: (The "NOW" green box) Section 1.3: Evaluate algebraic expressions and use exponents.
More informationNew Rochelle High School Geometry Summer Assignment
NAME - New Rochelle High School Geometry Summer Assignment To all Geometry students, This assignment will help you refresh some of the necessary math skills you will need to be successful in Geometry and
More informationAlgebra 1 S1 (#2201) Foundations in Algebra 1 S1 (#7769)
Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: Algebra 1 S1 (#2201) Foundations
More informationUnit 5. Linear equations and inequalities OUTLINE. Topic 13: Solving linear equations. Topic 14: Problem solving with slope triangles
Unit 5 Linear equations and inequalities In this unit, you will build your understanding of the connection between linear functions and linear equations and inequalities that can be used to represent and
More informationAlgebra 1 End-of-Course Assessment Practice Test with Solutions
Algebra 1 End-of-Course Assessment Practice Test with Solutions For Multiple Choice Items, circle the correct response. For Fill-in Response Items, write your answer in the box provided, placing one digit
More informationLet s suppose that the manufacturer of a popular washing powder announced a change in how it packages its product.
Show Me: Rate of Change M8049 Let s suppose that the manufacturer of a popular washing powder announced a change in how it packages its product. The original amount of washing powder in a pack was eighty
More informationModule 1 and 2 Study Guide. 1.1 Solving Equations Solve the equation. Check your answer.
Module 1 and 2 Study Guide 1.1 Solving Equations Solve the equation. Check your answer. 1. 1 y + 1 = 5 2. 2n + 6 = 2n 11 3. 4 3n = 6 3n 2 3 4 12 4. Julio is paid 1.4 times hos normal hourly rate for each
More informationEquations & Inequalities Chapter Questions. 3. What are two different ways to solve equations with fractional distributive property?
Equations & Inequalities Chapter Questions 1. What are inverse operations? Name them. 2. How do you solve equations? 3. What are two different ways to solve equations with fractional distributive property?
More informationChapter 3. Equations and Inequalities. 10/2016 LSowatsky 1
Chapter 3 Equations and Inequalities 10/2016 LSowatsky 1 3-1B Write Equations Main Idea: Write algebraic equations from verbal sentences and problem situations. LSowatsky 2 Vocabulary: Equation mathematical
More informationHere are some helpful websites you may find useful if your child gets stuck on the summer packet or would like to do some additional work online.
2015 Mathematics Packet for Rising 7 th Graders In addition, the Middle School Mathematics Department is asking your child to work on the attached summer math review packet. This packet reviews key concepts
More informationFranklin Math Bowl Algebra I All answers are presented accurate to three decimal places unless otherwise noted. Good luck! c.
Franklin Math Bowl Algebra I 2009 All answers are presented accurate to three decimal places unless otherwise noted. Good luck! 1. Assuming that x 2 5x + 6 0, simplify x2 6x+9 x 2 5x+6. a. 3 x 2 b. x 2
More informationGRADE 7 MATH LEARNING GUIDE. Lesson 26: Solving Linear Equations and Inequalities in One Variable Using
GRADE 7 MATH LEARNING GUIDE Lesson 26: Solving Linear Equations and Inequalities in One Variable Using Guess and Check Time: 1 hour Prerequisite Concepts: Evaluation of algebraic expressions given values
More informationUnit 5. Linear equations and inequalities OUTLINE. Topic 13: Solving linear equations. Topic 14: Problem solving with slope triangles
Unit 5 Linear equations and inequalities In this unit, you will build your understanding of the connection between linear functions and linear equations and inequalities that can be used to represent and
More informationUnit Essential Questions. Can equations that appear to be different be equivalent? How can you solve equations?
Unit Essential Questions Can equations that appear to be different be equivalent? How can you solve equations? What kinds of relationships can proportions represent? Williams Math Lessons TARGET ONE-STEP
More informationIntegrated Math 1 - Chapter 5 Homework Scoring Guide
Integrated Math 1 - Chapter 5 Homework Scoring Guide Integrated Math 1 - Chapter 5 Homework Scoring Guide Lesson Lesson Title Homework Problems Score 5.1.1 How does the pattern grow? 5-6 to 5-15 5.1.2
More informationHW A) SWBAT identify the properties of operations Create flashcards or a some type of foldable that shows the following properties of operations
HW A) SWBAT identify the properties of operations Create flashcards or a some type of foldable that shows the following properties of operations including examples: HW B) SWBAT apply properties of operations
More informationWORKBOOK. 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 information7 th Grade Algebra & Geometry Main Lesson Lesson Plan Outline
Day #1 7 th Grade Algebra & Geometry Main Lesson Lesson Plan Outline Ask students: "What do you think algebra is?" The essence of algebra is: It is the universal language of mathematics. Everywhere in
More informationUNIT 1 PACKET â PREREQ SKILLS
UNIT 1 PACKET â PREREQ SKILLS manipulations as use of the distributive property, simple factoring, and connecting... Simplifying using Distributive Property and Combining Like Terms:. UNIT 1 Math 621 Simplifying
More informationUnit 1 Study Guide [MGSE9-12.N.Q.1-3, MGSE9-12.A.CED.1]
Name: Class: Date: Unit 1 Study Guide [MGSE9-12.N.Q.1-3, MGSE9-12.A.CED.1] Matching a. algebraic expression f. variable b. numerical expression g. constant c. like terms h. solution of an equation d. absolute
More information1.1 Variable Expressions
. Variable Expressions Learning Objectives Evaluate algebraic expressions. Evaluate algebraic expressions with exponents. Introduction The Language of Algebra Do you like to do the same problem over and
More informationIntermediate 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 informationPre-Algebra. Guided Notes. Unit thru 3-6, 4-3b. Equations
Pre-Algebra Guided Notes Unit 4 3-1 thru 3-6, 4-3b Equations Name Lesson 3-1 Distributive Property Distributive Property used to multiply a number by a sum or difference a(b + c) = Write an equivalent
More informationOPEN QUESTIONS FOR MIDDLE SCHOOL MATH. Marian Small NOVEMBER 2018
OPEN QUESTIONS FOR MIDDLE SCHOOL MATH Marian Small NOVEMBER 2018 1 LET S DO A LITTLE MATH The answer is 30% What might the question be? 2 maybe What is a percent less than half? What is 3/10? What is a
More informationArchdiocese of Washington Catholic Schools Academic Standards Mathematics
7 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students understand and use scientific notation* and square roots. They convert between fractions and decimals. MA.7.1.1
More informationALGEBRA 1 FINAL EXAM TOPICS
ALGEBRA 1 FINAL EXAM TOPICS Chapter 2 2-1 Writing Equations 2-2 Solving One Step Equations 2-3 Solving Multi-Step Equations 2-4 Solving Equations with the Variable on Each Side 2-5 Solving Equations Involving
More informationPre-Algebra Chapter 4 Test
Name: Class: Date: Pre-Algebra Chapter 4 Test Multiple Choice Identify the choice that best completes the statement or answers the question 1 A factory worker can package 150 games in 15 minutes How many
More informationUnit 1: Introduction to Variables
Section 1.1: Writing Algebraic Expressions Section 1.2: The Story of x Section 1.3: Evaluating Algebraic Expressions Section 1.4: Applications Section 1.5: Geometric Formulas KEY TERMS AND CONCEPTS Look
More informationCLASS NOTES: 2 1 thru 2 5 Solving Equations
Page 1 of 13 CLASS NOTES: 2 1 thru 2 5 Solving Equations 2 1: Solving One-Step Equations Vocabulary: Equivalent equations equations that have the same solution Isolate get by itself Inverse operation operations
More information7 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions
7 th Grade 3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions Strand Standard No. Benchmark (7 th Grade) Sampler Item Number & Operation 12-16 Items Modified 7-9 Items Read, write,
More informationMonica Neagoy, Ph.D. Algebra in the Elementary Grades? (A little history) Concrete Examples for grades Pre-K through 5
How to help students deepen their learning of K-5 math now while your better prepare them for the future Monica Neagoy, Ph.D. 2013 Outline Algebra in the Elementary Grades? (A little history) What is Algebra?
More informationAMA1D01C Mathematics in the Islamic World
Hong Kong Polytechnic University 2017 Introduction Major mathematician: al-khwarizmi (780-850), al-uqlidisi (920-980), abul-wafa (940-998), al-karaji (953-1029), al-biruni (973-1048), Khayyam (1048-1131),
More informationWhat is your current test average for the class? For more problems like these, see Section 1.7.
Everyone has heard someone say, I m just no good at math. Chances are, you may have even said it yourself. What many people do not realize is that math is a language. And, just as with any other foreign
More informationMathematics Practice Test 2
Mathematics Practice Test 2 Complete 50 question practice test The questions in the Mathematics section require you to solve mathematical problems. Most of the questions are presented as word problems.
More informationSolving Proportions and Percent Equations
Lesson 3.2 Objectives Use cross-products to solve proportions. Use proportions and percent equations to solve percent problems. Solving Proportions and Percent Equations The scale drawing of an office
More informationloose-leaf paper Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Class: Date: Algebra 2 Trig Midterm Exam Review 2014 loose-leaf paper Do all work in a neat and organzied manner on Multiple Choice Identify the choice that best completes the statement or answers the
More informationLesson 2: Introduction to Variables
In this lesson we begin our study of algebra by introducing the concept of a variable as an unknown or varying quantity in an algebraic expression. We then take a closer look at algebraic expressions to
More informationRelationships Between Quantities
Relationships Between Quantities MODULE 1? ESSENTIAL QUESTION How do you calculate when the numbers are measurements? CORE STANDARDS LESSON 1.1 Precision and Significant Digits CORE N.Q.3 LESSON 1.2 Dimensional
More informationSection 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 informationInstructional Materials for WCSD Math Common Finals
Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: High School Algebra 1 S1
More informationDestination 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 informationLesson 7.5. Week Value of w Amount Saved = 25 + _ = = 25 + _ = = 25 + _ =
Name Evaluate Algebraic Expressions and Formulas Essential Question How do you evaluate an algebraic expression or a formula? To evaluate an algebraic expression, substitute numbers for the variables and
More information1.4 Properties of Real Numbers and Algebraic Expressions
0 CHAPTER Real Numbers and Algebraic Expressions.4 Properties of Real Numbers and Algebraic Expressions S Use Operation and Order Symbols to Write Mathematical Sentences. 2 Identify Identity Numbers and
More informationS1 Revision/Notes Algebra Unit 2 Solving Equations
S1 Revision/Notes Algebra Unit 2 Solving Equations Algebra History While the word algebra comes from the Arabic language (al-jabr, ال ج بر literally, restoration) and much of its methods from Arabic/Islamic
More informationEureka Math. Grade, Module. Student _B Contains Sprint and Fluency, Exit Ticket, and Assessment Materials
A Story of Eureka Math Grade, Module Student _B Contains Sprint and Fluency,, and Assessment Materials Published by the non-profit Great Minds. Copyright 2015 Great Minds. All rights reserved. No part
More informationChapter 1 ( )? Chapter 1 Opener. Section 1.1. Worked-Out Solutions. 2π π = π. Try It Yourself (p. 1) So, x = 95.3.
Chapter Chapter Opener Try It Yourself (p. ). + ( ) 7.. + 8. ( ) +. 7. ( 7) + 7 7. 8 () 0 + 8. 7. ( 7) 8 0.. 8. Section.. Activity (pp. ). Triangle Angle A (degrees) Angle B (degrees). a. The sum of the
More informationMinnesota 7 th Grade 2007 Math Strands & Standards
Minnesota 7 th Grade 2007 Math Strands & Standards Number & Operation Algebra Geometry & Measurement Data Analysis Read, write, represent and compare positive and negative rational numbers, expressed as
More informationFlorida Math 0022 Correlation of the ALEKS course Florida Math 0022 to the Florida Mathematics Competencies - Lower and Upper
Florida Math 0022 Correlation of the ALEKS course Florida Math 0022 to the Florida Mathematics Competencies - Lower and Upper Whole Numbers MDECL1: Perform operations on whole numbers (with applications,
More informationFoundations 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 informationLesson 1: Writing Equations Using Symbols
COMMON CORE MATHEMATICS CURRICULUM Lesson 1 8 4 Lesson 1: Writing Equations Using Symbols Classwork Exercises Write each of the following statements using symbolic language. 1. The sum of four consecutive
More informationSOL Review Items. 7.1 The student will. 7.1a 1. Which fraction and decimal are equivalent to A. and B. and C. and D. and 0.
7.1 The student will a) investigate and describe the concept of negative exponents for powers of ten; b) determine scientific notation for numbers greater than zero; c) compare and order fractions, decimals,
More informationUnit 5: Proportions and Lines. Activities: Resources:
Timeline: 2 nd nine weeks Vocabulary: Slope Formula, Rate of Change, Y Intercept, Slope intercept form, Vertical, Horizontal Linear Function Slope Slope of a Line Unit 5: Proportions and Lines New State
More information0813ia. Integrated Algebra Regents Exam
081ia 1 Which situation describes a negative correlation? 1) the amount of gas left in a car's tank and the amount of gas used from it the number of gallons of gas purchased and the amount paid for the
More informationName Date Class. Solving Equations by Adding or Subtracting
2-1 Practice A Solving Equations by Adding or Subtracting Solve each equation by using addition. Check your answers. 1. m 2 = 5 2. t 9 = 14 3. p 6 = 2 4. a 4.5 = 3.5 5. 3 = c 8 6. y 1 5 = 2 5 Solve each
More informationName Date Class , 100, 1000, 10,000, common ratio:
Name Date Class 11-1 Practice A Geometric Sequences Find the common ratio of each geometric sequence. Then find the next three terms in each geometric sequence. 1. 1, 4, 16, 64, 2. 10, 100, 1000, 10,000,
More informationMathematics Book 1. Grade. March 13 17, 2006
Mathematics Book 1 Grade 6 March 13 17, 2006 47949 1 Which equation can be used to help solve the equation below? 6 420 A 420 6 B 420 6 C 420 6 D 420 6 2 Jamie created a map for his friends. Each point
More informationChapter 2 Homework Support Pages 2-A1 Writing Equations Pages The quotient of t and forty is the same as twelve minus half of s.
Chapter Homework Support Pages Algebra 1H -A1 Writing Equations Pages 7-7 Translate each sentence into an equation. (See Example 1 and Study Tip on page 70.) 1. The sum of twice r and three times s is
More information