Additional Exercises 3.1
|
|
- Herbert Edwards
- 5 years ago
- Views:
Transcription
1 Additional Exercises 3.1 Express the statement as an algebraic expression. 1. Fifteen divided by a number x The difference between a number x and The cost C decreased by 14% The profit P increased by 12% Thirty-five more than half the weight w One-fourth less than the product of a number x and 5 6. Write the indicated expression. 7. Write an algebraic expression representing the number of cents 7. in n nickels and d dimes. 8. Write an algebraic expression representing the number of seconds 8. in m minutes and s seconds. 9. The number of VCR tapes in a video rental store is 120 more than 9. twice the number of DVDs, d. Write an expression for the number of VCR tapes. 10. The length of a rectangle is 8 inches less than 3 times the width, w. 10. Write an expression for the length. Write an equation to represent the problem. You will need to select a variable. 11. Four times a number decreased by 13 is Four times a number increased by 14 is A number decreased by 12% is A number decreased by 15% is One number is nine greater than six times the other. Their product 15. is One number is four times another. The sum of the two numbers is Maria is seven years older than her sister. The sum of their ages is The sum of two consecutive integers is Lisa is eight years older than her sister. The sum of their ages is One number is three times another. The sum of the two numbers is
2 Additional Exercises 3.2 Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. 1. If the sum of a number and 4 is decreased by 20, the result is If the sum of a number and 5 is increased by 40, the result is If the product of a number and 9 is decreased by 27, the result is If the product of a number and 4 is increased by 12, the result is The sum of three consecutive integers is 252. What is the largest of 5. of the three integers? 6. The sum of two integers is 66. Find the two integers if the larger 6. is 6 less than three times the smaller. 7. The sum of three consecutive integers is 111. What is the largest 7. of the three integers? 8. The sum of two integers is 88. Find the two integers if the larger 8. is 7 less than four times the smaller. 9. A country s rivers contained 645 billion sturgeon. Assuming no 9. new sturgeon enter the country s rivers, and 15 billion are caught each month, how long will it take for the country s rivers to be empty of all sturgeon? 10. Jumbo Warehouse contains 700 billion nuts, bolts, and nails. If no 10. new items are manufactured, and 25 billion are sold each month, how long will it take to empty the warehouse? 11. Garrett has $150 in ten- and twenty-dollar bills. The number of 11. ten-dollar bills is one less than twice the number of twenty-dollar bills. How many of each type bill does Garrett have? 12. Emily has nickels, dimes, and quarters in her piggy bank. She has 12. twice as many dimes as nickels and 12 fewer quarters than dimes. The total value of the coins is $9.00. How many of each coin type does Emily have? 13. A rental company rents garden tillers. The charge for a tiller is $ for the first 5 hours plus $7.50 for each additional hour. If Richard s total rental fee was $92.50, for how long did he have the tiller? 14. The author of a textbook receives 12% of sales as royalties. Find 14. the sales needed if the author wants to earn $75,000 on the book. 15. A country singer was hired to perform a concert at a county rodeo. 15. She was paid $2000 plus 2.5% of admission fees collected at the gate. If the singer received a total of $2590, how much was collected at the gate? 16. Jeff is a salesperson in a retail store and earns $80 per week plus % of his weekly sales. If Jeff made $680 one week, what were his sales that week? 89
3 Additional Exercises 3.2 (cont.) 17. Gail s salary was increased by 30% to $45,500. What was her 17. salary before the increase? 18. In 2005 the federal income tax rate for a person filing a single return 18. with an adjusted gross income between $29,700 and $71,950 was $4,090 plus 25% of the amount in excess of $29,700. If Herman had to pay $11,255 in federal taxes in 2005, what was his adjusted gross income that year? 19. From 2000 to 2006, the number of students enrolled at a state 19. university increased by 40%. If the number of students enrolled at the university in 2006 was 10,325, what was the enrollment in 2000? 20. Between 1996 and 2006, the population of a city decreased by 15%. 20. If the population in 2006 was 361,250, what was the population in
4 Additional Exercises 3.3 Solve the following geometric problems. 1. Two angles are complementary if the sum of their measures is If angle A and B are complementary angles, and angle A is 9 less than twice angle B, find the measures of angles A and B. 2. Two angles are complementary if the sum of their measures is If angle A and B are complementary angles, and angle A is 6 more than three times angle B, find the measures of angles A and B. 3. Two angles are supplementary if the sum of their measures is If angle A and angle B are supplementary angles, and angle B is 12 more than three times angle A, find the measures of angles A and B. 4. Two angles are supplementary if the sum of their measures is If angle A and angle B are supplementary angles, and angle B is 15 less than twice angle A, find the measures of angles A and B. 5. The sum of the angles of a triangle is 180. If one angle of a triangle 5. is ten degrees larger than the smallest angle and the third angle is 10 less than three times the smallest angle, find the measures of the three angles. 6. In a parallelogram the opposite angles have the same measures and 6. the sum of the angles is 360. If each of the two larger angles in a parallelogram is 30 more than each smaller angle, find the measure of each angle. 7. The perimeter of a rectangle is 240 feet. The length is 20 feet more 7. than the width. What are the dimensions? 8. A triangle has a perimeter of 74 inches. Find the three sides if one 8. side is 24 inches larger than the smallest and the third side is three times the smallest. 9. The length of the base of an isosceles triangle is one third the length 9. of one of its legs. If the perimeter of the triangle is 56 inches, what is the length of the base? 10. The perimeter of a rectangle is 200 feet. The width is two-thirds as 10. long as the length. What are the dimensions of the rectangle? 11. The length of an official NBA basketball court is 6 feet less than 11. twice the width. The perimeter is 288 feet. Find the dimensions of the court. 12. The width of an official volleyball court is half its length. The 12. perimeter is 54 meters. Find the dimensions of the court. 13. A triangle has a perimeter of 71 inches. Find the three sides if one 13. side is 31 inches larger than the smallest and the third side is three times the smallest. 14. The length of the base of an isosceles triangle is one fourth the 14. length of one of its legs. If the perimeter of the triangle is 90 cm, what is the length of the base? 91
5 Additional Exercises 3.3 (cont.) 15. A book case is to have four shelves including the top and bottom. 15. The height of the book case is to be 2.5 feet more than the width. Find the width and height of the book case if only 26 feet of lumber is available. 16. A book case is to have four shelves including the top. The height of 16. the book case is to be 4.25 feet more than the width. Find the width and height of the book case if only 31 feet of lumber is available. 17. An official Major League Baseball diamond is actually a square 17. with a perimeter of 360 feet. Find the dimensions of the diamond. 18. The outer perimeter of the Pentagon building in Washington, D.C. 18. (which houses the U.S. Department of Defense) is 1400 meters. The building is a regular pentagon, which means its five sides are equal in length. Find the length of each outer wall. 19. Steve and Mimi are placing a border around a rectangular flower bed. 19. One long side will be next to the house and will not have a border. The longer side is to be 3 feet more than the shorter side, and they have 24 feet of border material. Find the length and width of the flower bed. 20. A rectangular room has a 25 yard strip of wallpaper bordering it 20. near the ceiling. If the room is 8 yards long, what is its width? 92
6 Additional Exercises A bus travels 150 miles on 10 gallons of gas. How many gallons 1. will it need to travel 225 miles? 2. Marsha can check 13 parts per minute on an assembly line. How 2. many parts will she be able to check in 3 hours? 3. On the first day of their vacation trip the Lopez family traveled miles in 11 hours. What was their average speed? 4. On the fifth day of their vacation trip the Lopez family traveled miles in 6 hours. What was their average speed? 5. A van travels 200 miles on 10 gallons of gas. How many gallons 5. will it need to travel 340 miles? 6. An SUV gets 15 miles per gallon of gasoline. If its tank will hold gallons, how far can the SUV travel on a tank of gas? 7. One day, John worked for 6.5 hours and was paid $ How 7. long did John work the following day if he was paid $114.40? 8. A train traveling at 40 miles per hour leaves for a certain town. One 8. hour later, a bus traveling at 50 miles per hour leaves for the same town and arrives at the same time as the train. If both the train and the bus traveled in a straight line, how far is the town from where they started? 9. Train A leaves a station traveling at 40 mph. Eight hours later, train 9. B leaves the same station traveling in the same direction at 60 mph. How long does it take for train B to catch up to train A? 10. Two trains leave the same station precisely at noon. One train heads 10. due east at 45 miles per hour while the other train heads due west at at 55 miles per hour. At what time will the two trains be 40 miles apart? 11. Two trains, an express and a commuter, are 450 miles apart. 11. Both start at the same time and travel toward each other. They meet 6 hours later. The speed of the express is 25 miles per hour faster than the commuter. Find the speed of each train. 12. George invested $19,000 for one year, part at 11% and part at %. If he earned a total interest of $2200, how much was invested at each rate? 13. Cindy invested $24,000 for one year, part at 6% and part at 9%. 13. If she earned a total interest of $1740, how much was invested at each rate? 14. How many liters of 18% salt solution must be added to 92 liters 14. of 61% salt solution to get a 41% salt solution? 15. How many pounds of coffee beans selling for $2.80 per pound 15. should be mixed with 2 pounds of coffee beans selling for $1.60 a pound to obtain a mixture selling for $2.56 per pound? 93
7 Additional Exercises 3.4 (cont.) 16. How many pounds of salted nuts selling for $3.00 per pound should 16. be mixed with 7 pounds of salted nuts selling for $1.20 a pound to obtain a mixture selling for $1.74 per pound? 17. A chemist needs 600 milliliters of a 31% alcohol solution. To obtain 17. this solution, how much of a 10% alcohol solution should be mixed with a 40% alcohol solution? 18. Susan charges $25 for a 30-minute private violin lesson. She 18. charges $15 per student for a 60-minute group violin lesson. One day Susan earned $245 from 13 students. How many students did she see for private lessons and how many did she see in the group lesson? 19. How many pounds of gourmet candy selling for $2.40 per pound 19. should be mixed with 3 pounds of gourmet candy selling for $1.20 a pound to obtain a mixture selling for $2.04 per pound? 20. How many pounds of gourmet candy selling for $2.00 per pound 20. should be mixed with 2 pounds of gourmet candy selling for $3.00 per pound to obtain a mixture selling for $2.20 per pound? 94
Algebra A/B MAT 035. Review for Final Exam
Computation: Evaluate the following expressions: 1. 5-7 + (-8) - (-3) 2 2. -5 (-3) (2) (-5) 3. 4. 5. 11 2 23 + 24 6. 7. (14-3) (3-7) +2 (3-9) 8. 7-2[ ] 9. 20-12 2 3-10. -8[ -4 6 (4-7)] 11. 12 4[7 3(6 2)]
More informationMathacle PSet Algebra, Word Problems, Inequalities (10.3) Level Number Name: Date:
Solve: 1.) After selling a dozen copies of the Daily Bulletin, a newsdealer had fewer than 75 copies left. How many copies did the newsdealer at most have originally? 2.) A house and lot together cost
More informationMore Word Problems. Front 19 x 19x. Rear 14 x (x + 525) Solve: 19x + 14(x + 525) = 31, front and 1265 rear
Name: Date: More Word Problems 1) Tickets to a concert were $19 for the seats near the front and $14 for the rear seats. There were 525 more rear seats sold than front seats, and sales for all tickets
More informationMATH 30/GRACEY
MATH 30/GRACEY 2.6-2.7 Name Find the unknown in each percent question. 1) What is 10% of 300? 2) 57 is 70% of what number? 3) What percent of 129 is 10.3? 4) 16 is 7% of what number? 5) 20% of what number
More information7)A bank teller has 54 $5 and $20 bills in her cash drawer. The value of the bills is $780. How many $5 bills are there?
Systems of Equations 1)A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 5 bags of potato chips for $12.00. Another customer buys 3 hot dogs and 4 bags of potato chips for
More informationMathacle PSet Algebra Word Problems ( ) Level Number Name: Date:
Translate each problem into an equation. Then solve the equation. 1.) Howard works an 8-hour day at his gas station. He spends twice as much time working on cars as he does waiting on customers. He takes
More informationWord Problems: Number Theory and past/future Alg. 1H
PS-A1 Word Problems: Number Theory and past/future Alg. 1H DO ON BINDER PAPER Define variables ("Let Statements"). Write a verbal model. Write an equation. Then solve your equation. Finally answer the
More information13.7 Quadratic Equations and Problem Solving
13.7 Quadratic Equations and Problem Solving Learning Objectives: A. Solve problems that can be modeled by quadratic equations. Key Vocabulary: Pythagorean Theorem, right triangle, hypotenuse, leg, sum,
More informationROUND TOSS-UP: What is the square root of one million? (1000) (10 points) BONUS: How many zeros are at the end of ?
ROUND 1 1. TOSS-UP: What is 24% of 50? (12) (10 points) BONUS: A clothing store is having a 60% off sale on its dresses. Brandi has a coupon that lets her take 20% off of the sale price. If she pays $24
More informationWordproblems. 1. Problem solving
Wordproblems 1. Problem solving Many problems can be translated into algebraic equations. When problems are solved using algebra, we follow these steps: Step 1: Read the problem. Step 2: Decide on the
More informationat the total points scored by each player during the season. Sanjeet scored twice as Equation:
1.1f Homework: Creating and Solving Linear Equations to Model Real World Problems Part I 1. Use the story below about Sanjeet and his friends end-of-season basketball statistics to answer the questions
More informationChapter 7: Quadratics
Chapter 7: Quadratics Notes 7.8 Quadratic Modeling Name: Set up a quadratic equation to model the scenario and use ANY method to solve: Vertex Form to find max/min or symmetry Factoring to find zeros/solutions
More information1. If x represents a number, six ubtracted from four times the number can be represented by
Math 60, HW 13 Section 2.5 Name: Concept and Vocabulary: 1. If x represents a number, six ubtracted from four times the number can be represented by 2. According to F orbes magazine, the top-earning dead
More informationTranslations: Comparison Sentences
Translations: Comparison Sentences A comparison sentence is a special form of translation, a single sentence within a word problem that provides information about two different things: two unknowns. In
More informationWhich linear equation can be used to find x, the additional hourly parking rate? 1) 2) 3) 4)
LINEAR 1. Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation can be used to
More informationIndiana Academic 22 nd Annual M.A.T.H. Bowl. Invitational January 22 Feb. 3, Begin Practice Round
Indiana Academic 22 nd Annual M.A.T.H. Bowl Invitational January 22 Feb. 3, 2018 Begin Practice Round 2018 MATH Invitational Practice Round 30 seconds 3(4) =? A. 34 B. 7 C. -1 D. 12 2018 MATH Invitational
More informationIndiana Academic 22 nd Annual M.A.T.H. Bowl
Indiana Academic 22 nd Annual M.A.T.H. Bowl Invitational January 22 Feb. 3, 2018 Begin Practice Round 2018 MATH Invitational Practice Round 30 seconds A. 34 B. 7 C. -1 D. 12 3(4) =? 2018 MATH Invitational
More informationword problems.notebook May 27, 2016
Word Problems: When solving word problems you can use vertex form, factored form or standard form to create an algebraic model of the situation. Use the form that is most helpful for the context of the
More informationDownloaded From GovernmentAdda.com India s #1 Study Hub Lakshmi Vilas Bank Limited (LVB) Quantitative aptitude questions
Lakshmi Vilas Bank Limited (LVB) Quantitative aptitude questions 1 (95.6x 910.3) 92.56256 = 9? (A) 13.14 (B) 12.96 (C) 12.43 (D) 13.34-Answer 2. (4 86%of 6500) 36 =? (A) 867.8 (B) 792.31 (C) 877.5-Answer
More information1. Identify the sample space and the outcome shown for spinning the game spinner.
2014-2015 6 th Grade Compacted Spring Semester Review Name: 1. Identify the sample space and the outcome shown for spinning the game spinner. Z W Y X a. Sample space: {W, X, Y, Z} Outcome shown: Z b. Sample
More informationMonday Tuesday Wednesday Thursday
Name: Weekly Math Homework - Q1:1 Teacher: Monday Tuesday Wednesday Thursday Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of
More information11 TH ANNUAL MATHLETES IN ACTION
11 TH ANNUAL MATHLETES IN ACTION NOVEMBER 8, 2014 SPRINT ROUND PROBLEMS 1-25 NAME SCHOOL DO NOT BEGIN UNTIL INSTRUCTED TO DO SO. This round of the competition consists of twenty-five problems. You will
More informationName. A 904 ounces B 896 ounces C 568 ounces D 560 ounces. A 18 days B 21 days C 23 days D 24 days A $18.71 B $12.19 C $11.29 D $10.
Beginning-of-Year Assessment. There are 98 possible words for a spelling bee. If Levi studies 4 words per day, how long will he take to study all of the words? A 8 days B days C days D 4 days 4. The Johnsons
More informationCumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.
Name Score Math Course 1 1A 1. Use the numbers 6, 12, and 18 to make two addition facts and two subtraction facts. 12 + 12 12 + 12 12 12 12 12 2. Use the numbers 5, 15, and 75 to make two multiplication
More informationBASIC MATHEMATICS (MAT-011) FINAL EXAM REVIEW
BASIC MATHEMATICS (MAT-011) FINAL EXAM REVIEW 1) 2) 3) 4) EVALUATE 5) 6) 7) 8) 9) 10) PERFORM THE INDICATED OPERATIONS (Express improper fraction solution as a mixed number) 11) 12) 13) 14) 16) 17) 18)
More informationFinal Exam review Course II
Class: Date: Final Exam review Course II Short Answer 1. Mrs. Richland planted 12 tulip bulbs in her garden. All 12 bulbs bloomed the first year. The second year, 15 tulip blooms appeared, and the third
More informationCompleted Daily Chart Total Earned Points (Max. 25) /25. Did the student complete at least 5 questions?
Dear Honor Pre-Calculus or Advanced Algebra and Trig Student: Enclosed please find your Spring Break Math Packet. Please complete each assignment on the day assigned. Please have all questions completed
More informationMath 6 EQT Study Guide Quarter 3. and a package of 12 golf balls. The package with 3 golf balls costs $4.59, and the package with 12 golf balls
Math EQT Study Guide Quarter 3 1. How will the surface area of the figure represented by the net change if the length increases by 7 feet? The original figure has dimensions of l = 12 feet, w = feet, and
More informationCumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.
Name Score Math Course 1 1B 1. Use the numbers 5, 11, and 16 to make two addition facts and two subtraction facts. 11 + 12 12 + 12 12 12 12 12 2. Use the numbers 4, 16, and 64 to make two multiplication
More information4.8 Applications of Polynomials
4.8 Applications of Polynomials The last thing we want to do with polynomials is, of course, apply them to real situations. There are a variety of different applications of polynomials that we can look
More information2018 School Competition Sprint Round Problems 1 30
Name 08 School Competition Sprint Round Problems 0 0 4 5 6 7 8 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. 9 This section of the competition consists of 0 problems. You will have 40 minutes to complete
More informationTilden Middle School Summer Math Packet Incoming Grade 6
Tilden Middle School Summer Math Packet Incoming Grade 6 . Several expressions are shown. Decide if the value of the expression is less than, equal to, or greater than 5. Write the expressions in the corresponding
More informationName 4-1. b. Write an equation that you could use to fi nd t.
4-1 1. Steve uses 6 balls of yarn to knit a sweater. Knitting a blanket takes 15 times as many balls of yarn. Which equation can Steve use to fi nd b, the number of balls of yarn he needs to knit a blanket?
More informationMonday Tuesday Wednesday Thursday
Name: Weekly Homework Sheet Q: Date: Monday Tuesday Wednesday Thursday What is the VALUE of the underlined digit?,,0,,,, Write,000, in each form. Word: Expanded:,, Round,, to the nearest 00:,000: 0,000:,00,
More informationDo not turn this page until you are asked to.
YEAR 7 MATHEMATICS EXAMINATION SEMESTER 2 2016 QUESTION AND ANSWER BOOKLET STUDENT NAME: TEACHER: DATE: TIME ALLOWED FOR THIS PAPER Reading time before commencing work: 10 minutes Working time for this
More informationOpen-Ended Application Problems Chapter Questions. 3. What is the formula for perimeter, area of a rectangle, area of a triangle?
Open-Ended Application Problems Chapter Questions 1. List one strategy for solving a problem. 2. How would you define a consecutive integer? 3. What is the formula for perimeter, area of a rectangle, area
More informationCCM8 Unit 7: Pythagorean Theorem Vocabulary
CCM8 Unit 7: Pythagorean Theorem Vocabulary Base Exponent Hypotenuse Legs Perfect Square Pythagorean Theorem When a number is raised to a power, the number that is used as a factor The number that indicates
More informationFour in a Row Algebraic Expression. Suggested expressions: x + y x - y -x + 2y x - y -(x + y) 2x - 3y y + 1 2
Four in a Row 7 x 6 5 4 3 2 1-8 -7-6 -5-4 -3-2 -1 0 1 2 3 4 5 6 7 8 y -1-2 -3-4 -5-6 -7 Algebraic Expression Suggested expressions: x + y x - y -x + 2y x - y -(x + y) 2x - 3y y + 1 2 Page 84 Classroom
More informationROUND TOSSUP: What is twenty-five percent of sixty? (15) (10 pts)
ROUND 1 1. TOSSUP: Giving your answer in the correct unit, what is the area of a rectangle whose length is 7 inches and whose width is 4 inches? (28 square inches) (10 pts) FOLLOWUP: Abe walked halfway
More informationJefferson Township Public Schools Mathematics Department
Jefferson Township Public Schools Mathematics Department Dear Student of Math Investigations, Your first assignment as a Math Investigations student will be the summer assignment. This packet is a review
More informationASVAB Arithmetic Reasoning
ASVAB Arithmetic Reasoning Number: Arithmetic Reasoning Passing Score: 800 Time Limit: 120 min File Version: 1.0 Arithmetic Reasoning QUESTION 1 If there are 3 quarts of gas in a gallon container, how
More information77.1 Apply the Pythagorean Theorem
Right Triangles and Trigonometry 77.1 Apply the Pythagorean Theorem 7.2 Use the Converse of the Pythagorean Theorem 7.3 Use Similar Right Triangles 7.4 Special Right Triangles 7.5 Apply the Tangent Ratio
More informationLLT Education Services
12. Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm. 13. There is a slide in a park. One of its side walls has been painted in some colour with a
More informationACTIVITY: Finding a Formula Experimentally
8.1 Volumes of Cylinders How can you find the volume of a cylinder? 1 ACTIVITY: Finding a Formula Experimentally Work with a partner. a. Find the area of the face of a coin. b. Find the volume of a stack
More informationAlgebra 2/Trig: Solving Word Problems. Problem Set A. Problem Set B
Algebra 2/Trig: Solving Word Problems Directions for Sets A to E: Solve each problem while showing sufficient work. Sufficient work includes the following: 1) define your variable, 2) write an equation
More informationNewport Mill Middle School. Summer Math Packet Incoming Grade 6
Newport Mill Middle School Summer Math Packet Incoming Grade 6 . Several expressions are shown. Decide if the value of the expression is less than, equal to, or greater than 5. Write the expressions in
More informationChapter 0 Pretest = 4
Determine whether you need an estimate or an exact answer. Then solve. 1. SHOPPING Addison paid $1.29 for gum and $0.89 for a package of notebook paper. She gave the cashier a $5 bill. If the tax was $0.14,
More informationA 28-inch ribbon was cut into four equal lengths. How long was each piece of ribbon?
Name Score Benchmark Test 1 Math Course 1 For use after Lesson 0 1. (5) A -inch ribbon was cut into four equal lengths. How long was each piece of ribbon? A. 7 inches B. 7 1 inches. () In a class of students
More informationSmiley Face Math Grade 3, Worksheet I
Smiley Face Math Grade 3, Worksheet I Name: 1. Shantell wants to plant a flower garden. The garden will have 8 rows with 6 flowers in each row. She has already planted 1 row of her garden. How many plants
More informationAG85. and five cents. Which names this money amount in terms of dollars? Mark all that apply. is equivalent to. True False
Page 1 1. Select a number shown by the model. Mark all that apply. 6.1 16 1.6 60 16 1 6 2. Ryan sold a jigsaw puzzle at a yard sale for three dollars and five cents. Which names this money amount in terms
More informationPerimeter. Perimeter is the distance around a shape. You can use grid. Step 1 On grid paper, draw a rectangle that has a length
Lesson 13.1 Perimeter Perimeter is the distance around a shape. You can use grid paper to count the number of units around the outside of a rectangle to find its perimeter. How many feet of ribbon are
More informationJune x. 2. x. 3. x. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 8.NS.1 8.NS.1 8.NS.1 8.NS.1 8.NS /3 + 1/9 2.
June 2018 Sunday Monday Tuesday Wednesday Thursday Friday Saturday 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Father s Day 24 25 26 27 28 29 30 1. 1/3 + 1/9 2. 1 8/9 + 3 2/3 3. 9 6/7 +
More informationLesson 27: Real-World Volume Problems
Student Outcomes Students use the volume formula for a right prism ( ) to solve volume problems involving rate of flow. Lesson Notes Students apply their knowledge of volume to real-world contexts, specifically
More informationMath is Cool Championships
Sponsored by: Western Polymer Corporation & Wenatchee Valley Clinic 7 th & 8 th Grade October 22, 2004 Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers
More informationMathematics Spiral Review Quarter 2.1 Grade 5
Mathematics Spiral Review Quarter 2.1 Basic Computation (5.NBT.7) Find the sum: 47.8 + 6.23 = Place Value (4.MBT.2) Compare the values using : a) 12 thousands 6 ten thousands b) 24 hundreds 3
More informationAreas of Trapezoids, Rhombuses, and Kites. To find the area of a trapezoid, rhombus, or kite
10-2 Areas of Trapezoids, Rombuses, and Kites Common Core State Standards G-MG.A.1 Use geometric sapes, teir measures, and teir properties to describe objects. MP 1, MP 3, MP 4, MP 6 Objective To find
More informationWEEK 1. Name: 4 th GRADE SUMMER REVIEW PACKET Date: Show your work! 8,384,950 3,948,584. Find the Difference. 84,023 76,289
What is the VALUE of the underlined digit? 8,8,950,98,58 WEEK 1 Find the Difference. 8,02,289 There were 2, animals at the animal shelter. Last week, 8, animals were adopted. How many animals were left
More informationChoose the correct answer. For Games Day, 112 students were organized into teams of 8. How many teams were formed? 12
Choose the correct answer. Page For Games Day, students were organized into teams of. How many teams were formed? 4 9 Ace Sporting Goods displays boxes of basketballs. They have 7 boxes. They want to make
More information2018 Chapter Competition Countdown Round Problems 1 80
2018 Chapter Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. 2018 MATHCOUNTS National Competition Sponsor National Sponsors Raytheon Company
More informationProblem 1. A cuboid of length x, width 5 less than x and a height of half the length has a surface area of 250 cm 2. Show that 4x 2 15x 250 = 0
Problem 1 Expand x(x+5) Write an expression for: 6 less than x Calculate the surface area of the cuboid Simplify 5x + x 2 + 8x + 3 + x 2 half of x 5 cm 8 cm 3 cm A cuboid of length x, width 5 less than
More informationName Date PD. Pythagorean Theorem
Name Date PD Pythagorean Theorem Vocabulary: Hypotenuse the side across from the right angle, it will be the longest side Legs are the sides adjacent to the right angle His theorem states: a b c In any
More informationAlgebra 1 Notes Solving Systems Word Problems
Algebra 1 Notes Solving Systems Word Problems 1 At McDonalds, a cheeseburger has 200 fewer calories than a large fries. Two cheeseburgers and a large fries have 1100calories. How many calories are in each
More informationTopic 6. Multiplying Decimals. Name. Test Date
Topic 6 Multiplying Decimals Name Test Date 1. Dr. Gallo s waiting room has a total of 18 magazines, including 3 fashion magazines. There are 5 more cooking magazines than there are decorating magazines.
More information11.4 Apply the Pythagorean
11.4 Apply the Pythagorean Theorem and its Converse Goal p and its converse. Your Notes VOCABULARY Hypotenuse Legs of a right triangle Pythagorean theorem THE PYTHAGOREAN THEOREM Words If a triangle is
More informationFractions Unit Review Packet
Fractions Unit Review Packet 1. There are 1,716 students participating in Wellness Day. They are put into teams of 16 for the competition. How many teams are created? Will there be any extra students?
More informationName: Date: Lesson 19 Word Problems Day 3
Name: Date: Lesson 19 Word Problems Day 3 Warm Up 1) The ratio of red to black marbles is 2:7. If there are 28 black marbles, how many marbles are red? 2) The ratio of red to black marbles is 2:7. If there
More informationGeorgia Online Formative Assessment Resource (GOFAR) 5th grade Unit 2
5th grade Unit 2 Name: Date: Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 14 ) 1. Jessica has a patio that is feet
More information2016 School Competition Sprint Round Problems 1 30
Name 2016 School Competition Sprint Round Problems 1 30 0 1 2 3 4 5 6 7 8 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. 9 This section of the competition consists of 30 problems. You will have 40 minutes
More informationPart 1 No Calculator
Part 1 No Calculator 1. Which of the following has a value equal to 32 divided by 10? 4. Look at the problem below. Which expression can be used to check the answer? 914 r 2 6 5486 2 914 2 6 914 2 6 914
More information0:40. year. Use 2B or HB pencil only SESSION 1. Time available for students to complete test: 40 minutes
national assessment program literacy and numeracy NUMERACY calculator ALLOWED year 9 2011 0:40 SESSION 1 Time available for students to complete test: 40 minutes Use 2B or HB pencil only Australian Curriculum,
More informationWord Problem Activity
Word Problem Activity 1. Bobby and Edgar are shopping for some new socks. Bobby buys one pair of white socks and 3 pairs of black socks for a total of $22. Edgar buys two pairs of white socks and two pairs
More informationSystems of Equations-Application Problems. For the following, define your variables, write a system of equations, then solve.
Systems of Equations-Application Problems Name For the following, define your variables, write a system of equations, then solve. 1. A length of ribbon 52 cm long is cut into two pieces. The first piece
More informationgrams. What is the mass of his magazine rounded to the nearest tenth?
Choose the correct answer. 1. Dan s science magazine has a mass of 256.674 grams. What is the mass of his magazine rounded to the nearest tenth? A 257 grams B 256.6 grams C 256.7 grams D 256.67 grams Page
More informationConverting Customary Units
Convert. Practice A Converting Customary Units 1. 1 yard = feet 2. 1 mile = yards 3. 1 pound = ounces 4. 1 ton = pounds 5. 1 pint = cups 6. 1 quart = pints 7. 1 quart = cups 8. 1 gallon = quarts 9. 24
More informationFurman University Wylie Mathematics Tournament Ciphering Competition. March 11, 2006
Furman University Wylie Mathematics Tournament Ciphering Competition March 11, 2006 House Rules 1. All answers are integers(!) 2. All answers must be written in standard form. For example, 8 not 2 3, and
More informationCOMPACTED MATHEMATICS CHAPTER 10 AREA AND PERIMETER TOPICS COVERED:
COMPACTED MATHEMATICS CHAPTER 10 AREA AND PERIMETER TOPICS COVERED: Perimeter of polygons Area of rectangles and squares Area of parallelograms Area of triangles Area of trapezoids Activity 10-1 Perimeter
More information5. Find two numbers whose sum is 48 and whose product is to be a maximum.
1 Optimization Practice (4.4) 1. If 40 passengers hire a special car on a train, they will be charged $8 each. This fare will be reduced by $.10 each passenger, for each person in addition to these 40.
More informationA life not lived for others is not a life worth living. Albert Einstein
life not lived for others is not a life worth living. lbert Einstein Sides adjacent to the right angle are legs Side opposite (across) from the right angle is the hypotenuse. Hypotenuse Leg cute ngles
More informationHello Students and Parents. We will complete Chapter 12 this week. There is a Chapter 12 Test on Friday February 12, 2016.
Homework Hello Students and Parents. We will complete Chapter 12 this week. There is a Chapter 12 Test on Friday 12, 2016. i-ready All students need to complete 2 lessons of MATH i-ready per week for a
More informationMeasuring Length. Goals. You will be able to
Measuring Length Goals You will be able to choose, use, and rename metric length measurements measure perimeters of polygons solve problems using diagrams and graphs Running in a Triathlon Racing Snails
More informationAlgebra/Geometry Institute Summer 2010
Algebra/Geometry Institute Summer 2010 Faculty Name: Norman Snerling School: Clarksdale High School Grade Level: Transition to Algebra 1 Teaching objective(s) Measurement 4 a. Solve real-world problems
More informationHANDSHAKE PROBLEM. Fifteen people are at a party. If each person shakes hands with everyone else (JUST ONCE), how many handshakes are there in all?
HANDSHAKE PROBLEM Fifteen people are at a party. If each person shakes hands with everyone else (JUST ONCE), how many handshakes are there in all? BARREL PROBLEM Two barrels contain equal quantities of
More informationMath 3 Plane Geometry Review Special Triangles
Name: 1 Date: Math 3 Plane Geometry Review Special Triangles Special right triangles. When using the Pythagorean theorem, we often get answers with square roots or long decimals. There are a few special
More informationLesson 6.1 Assignment
Lesson 6.1 Assignment Name Date Soon You Will Determine the Right Triangle Connection The Pythagorean Theorem 1. Lamar goes shopping for a new flat-panel television. A television is usually described by
More informationGrade: 6 Mathematics Olympiad Qualifier Set: 2
Grade: 6 Mathematics Olympiad Qualifier Set: ----------------------------------------------------------------------------------------------- Max Marks: 60 Test ID: 6660 Time Allotted: 40 Mins -----------------------------------------------------------------------------------------------
More informationProblem Solving Problems for Group 3(Due by EOC Feb. 13)
Problem Solving Problems for Group (Due by EOC Feb. ) Eactly How Do You Want Your Million?. Find a positive number that you can add to,000,000 that will give you a larger value than if you multiplied this
More informationRosa Parks Middle School. Summer Math Packet Incoming C2.0 Math- 6 Student Name: Teacher Name: Date:
Rosa Parks Middle School Summer Math Packet Incoming C2.0 Math- 6 Student Name: Teacher Name: Date: Dear Student and Parent, The purpose of this packet is to provide a review of objectives that were taught
More informationMath GPS D D D. 2. Silas insists he scored more than 30 points in at least one-half of the games. Is this true or false? Justify your answer.
1. Bob and Lisa kept track of the number of points scored at their son s basketball games and summarized the data in a stem-and-leaf plot. Use the summary to complete the frequency table. Number Range
More informationPerimeter. Name. 22 Topic 17. Reteaching Find the perimeter of the figure below.
Perimeter Reteaching 1-1 Find the perimeter of the figure below. 15 m x 4 ft 4 ft 2 ft y 2 ft 5 ft 6 m 20 ft Reteaching 1-1 By using a formula: There are two equal lengths and equal widths, so you can
More informationJuly 3 Twenty lawns can be mowed in 35 hours. The lawns per hour are about 0.57 or just over a half of a lawn per hour.
Grade 7 Answer Key 2015 Answers will vary for many of the activities depending on the choices students make. Here are the answers for activities with specific solutions.! July 1 This problem is based on
More informationMath 154 Chapter 7.7: Applications of Quadratic Equations Objectives:
Math 154 Chapter 7.7: Applications of Quadratic Equations Objectives: Products of numbers Areas of rectangles Falling objects Cost/Profit formulas Products of Numbers Finding legs of right triangles Finding
More informationEssentials. Week by. Week. Investigations
Week by Week MATHEMATICS Essentials Grade 5 WEEK Math Trivia Bees are smart mathematicians. They choose to build hexagonal cells in their honeycombs. Mathematicians have shown that only regular hexagons,
More informationRELEASED. North Carolina READY End-of-Grade Assessment Mathematics. Grade 4. Student Booklet
REVISE 7//205 Released Form North arolina REY End-of-Grade ssessment Mathematics Grade Student ooklet cademic Services and Instructional Support ivision of ccountability Services opyright 203 by the North
More informationLesson 3: Using the Pythagorean Theorem. The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1
Lesson 3: Using the Pythagorean Theorem The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1 A sailboat leaves dock and travels 6 mi due east. Then it turns 90 degrees
More informationCopyright 2015 Edmentum - All rights reserved.
Study Island Copyright 2015 Edmentum - All rights reserved. Generation Date: 05/25/2015 Generated By: Matthew Beyranevand Students Entering Grade 6 Part 1 Explanations Explanations 1. -- 2. Since there
More information5-8 Applying Special Right Triangles
5-8 Applying Special Right Triangles Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form. 1. 2. Simplify each
More informationSum Fun Tournament Meeting (Multiple Topics)
Sum Fun Sum Fun Tournament Meeting (Multiple Topics) Sum Fun Topic There are a wide range of topics and difficulty levels covered during this meeting. Materials Needed The first four items listed below
More informationPOST TEST KEY. Math in a Cultural Context*
Fall 2007 POST TEST KEY Building a Fish Rack: Investigation into Proof, Properties, Perimeter and Area Math in a Cultural Context* UNIVERSITY OF ALASKA FAIRBANKS Student Name: POST TEST KEY Grade: Teacher:
More informationPerimeter and area Test Find the area. A 182 cm 2 B 195 cm 2 C 210 cm 2 D 58 cm 2. 2 Find the area. A 28 yd 2 B 14 yd 2 C 27 yd 2 D 35 yd 2
Name: ate: 1 Find the area. 182 cm 2 195 cm 2 210 cm 2 58 cm 2 2 Find the area. 28 yd 2 14 yd 2 27 yd 2 35 yd 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 1 of 18 3 Find
More informationUnits of Measurement. Name Date Period Workbook Activity. Directions Circle the letter of the best answer. Chapter 8, Lesson 1 EXAMPLE
Chapter 8, Lesson 1 89 Units of Measurement Circle the letter of the best answer. Think about the meaning of the prefix. Convert from one unit of measurement to the other. 4 centimeters A 0.004 meter B
More information