A sedan uses 28 miles per gallon on the highway. . Type below: a 6, a = 3 There are 87 children and 39 adults at a show. 1000, 1 9 d = 5 \(\frac{1}{4}\); d = 3 \(\frac{3}{4}\) is a solution. Thus the variable is a solution. y = 1 x = 3 y = $45.50, z = $43.24 x 3, x = 3 Match the inequality with the word sentence it represents. The equation \(\frac{5}{6}\)f = 20 can be used to find how many pieces of fruit f are in the basket. Based on this data, would you expect 1956 to have closer to 50,000 cases, In volleyball statistics, a block is recorded when a player deflects the ball hit from, the opposing team. _____________, Explanation: x = 15 3 -2 -5c Describe the graph of g < 0.6. Question 2. 40, 5 2x = 24 = Question 3. A ring costs $27 more than a pair of earrings. Question 12. The variable is __________. Then solve a simpler problem to find the solution. x = 50/5 = 4 Question 13. Question 5. Question 1. The total number of countries competed in total is 36. The inequality x 2 represents the elevation x of a certain object found at a dig site. 100 f = 7 3 1.3 = \(\frac{c}{4}\) By seeing the above inequality we can write the word sentence for inequality as, Part B s = 7 Answer: 6th Grade Illustrative Mathematics: Unit 6, Lesson 8 - YouTube r = \(\frac{30}{12}\) Stu is 4 feet tall. The solution p is 3. 5 12 = 70 x = 12 Type below: \(\frac{1}{2}\)c = 14 16 c 0.4 IM Math 6.6.8 and OUR Math 6.6.8#668math #illustrativemath #openupresourcesIllustrative Mathematics Practice Lessons Tutorials Playlists:6th Grade: https://www.youtube.com/playlist?list=PLkwTozw9bKP0F8Y20aVg4ct7SfFpyDGM-7th Grade: https://www.youtube.com/playlist?list=PLkwTozw9bKP1PhxZ5m9I_qc5PeMgtCH3U8th Grade: https://www.youtube.com/playlist?list=PLkwTozw9bKP2TtIEzX2hC9tXY5HR_PjC6Supplemental Math Videos: https://www.youtube.com/playlist?list=PLkwTozw9bKP1QutlINcZiAAoUHxCJWotzMath Commercial Breaks (AVID): https://www.youtube.com/playlist?list=PLkwTozw9bKP3jbigkSttjTBrsqeDnbEWDMost Recent Upload: https://www.tubebuddy.com/quicknav/latest/UCSI4Ldv7smkY8C5itUagqKQMost Popular Upload:https://www.tubebuddy.com/quicknav/mostpopular/UCSI4Ldv7smkY8C5itUagqKQChannel Page Link: https://www.youtube.com/channel/UCSI4Ldv7smkY8C5itUagqKQ6th Grade Mathematics Test Prep Questions: https://www.youtube.com/playlist?list=PLkwTozw9bKP1pC31LL9HnIblMkp_lBcpd6th Grade Illustrative Mathematics Tutorials (Every Lesson): https://www.youtube.com/playlist?list=PLkwTozw9bKP0F8Y20aVg4ct7SfFpyDGM-7th Grade Illustrative Mathematics Tutorials: https://www.youtube.com/playlist?list=PLkwTozw9bKP1PhxZ5m9I_qc5PeMgtCH3U8th Grade Illustrative Mathematics Tutorials: https://www.youtube.com/playlist?list=PLkwTozw9bKP2TtIEzX2hC9tXY5HR_PjC6Illustrative Mathematics Practice Lessons - Video Tutorials for 6th Grade, 7th Grade, and 8th Grade - GoogleDoc Table of Contents: https://docs.google.com/document/d/1tZBEuiHstLVC7Loa_Jy7Y4MBk4-N8B23xMPOnRwmWxU/edit?usp=sharingIllustrative Mathematics, 6th, 7th, \u0026 8th Grade.Download for free at openupresources.orgI am not affiliated, associated, authorized, endorsed by, or in any way officially connected with Illustrative Mathematics, its subsidiaries, or its affiliates.Thank you Patrons: Carlsbad PromotionsWays to Make a Donation: Buy me a coffee https://www.buymeacoffee.com/itutor Click the \"THANKS\" button Become a patron on Patreon https://www.patreon.com/IllustrativeTutorWays You Can Help: Subscribe to my channel https://www.youtube.com/channel/UCSI4Ldv7smkY8C5itUagqKQ?sub_confirmation=1 Like my videos Comment on my videos Share my videos on Facebook and other social media platformsTable of Contents for all the Illustrative Mathematics video tutorials: https://docs.google.com/document/d/1tZBEuiHstLVC7Loa_Jy7Y4MBk4-N8B23xMPOnRwmWxU/edit?usp=sharing 455, Problem Solving Equations with Fractions Page No. What was the total distance of the race? Type below: e < 3 For access, consult one of our IM Certified Partners. t 6 Correct the error. \(\frac{x}{3}\) = 5 3.5 _____________, Question 10. The solution is 128. 4 p = 2 \(\frac{1}{2}\) \(\frac{1}{3}\)h = 6 Question 7. _____________, Question 5. Thus the 2 solutions are 5.8 and 5.9, Question 13. Explanation: 14d. Answer: The expression is c + 7 = 9 Use the chart at the right to write two inequalities that represent generalizations about the number of sea otter pups per raft. A ring costs $27 more than a pair of earrings. 62 This is 20% of the price of the lawn mower. 100 The mixed fraction of \(\frac{70}{63}\) is 1 \(\frac{1}{9}\) h 3 1 Write the inequality represented by this graph. Reason Abstractly Write an addition equation that has the solution x = 9. 25, 5 The equation a + 56 = 128 can be used to find the amount a in dollars that Aaron still needs to save. x = 23 + 12 _____________, Answer: 1 ________ cartons. Remove ten 1 tiles on the left side and ten 1 tiles on the right side. Multiply 3 with c. In one month, he rode the bus 24 times. x/5 = 3 p = 9.9 x = y + z, Question 16. _____________. _____________. Carole ordered 4 dresses for $80 each, a $25 sweater, and a coat. Convert from feet to yards. 6-8 Name Date Solve each problem. 15 minutes = 15 1/60 = 0.25 = 1/4 Illustrative Mathematics | Kendall Hunt 3 12 = 36 Question 3. = 2014. The price tag on a shirt says $21.50. Question 7. 3 Substitute the solution y in the inequality. $ _______. The lightest puppy in a litter weighs 9 ounces, which is \(\frac{3}{4}\) of the weight of the heaviest puppy. Substitute the value in the given equation 11. = s = \(\frac{3}{5}\), Question 11. This lesson gives students a chance to study the effect this choice has when writing an equation to define a sequence and is also meant to help students review how to write equations of linear and exponential functions by using a table to express regularity in repeated reasoning (MP8). The equation 5 = 4 + y can be used to find the number of years y the mountain lion has lived at the zoo. Type below: . The equation is f + 3 = 2 + 5 Isolate the variable on one side by adding opposites and creating zero pairs. Use numbers and words to explain how this model can be used to solve the equation x + 5 = 12. 15x + 10z UNIT 6 LESSON 8 Practice Multiplying a Fraction by a Whole Number143 . _____________ Question 3. Anne runs 6 laps on a track. Question 13. The inequality is u > \(\frac{-1}{2}\) 7 s = 21 _____________, Answer: Let, 1. The bar graph shows the number of countries that competed in the first four modern Olympic Games. Question 1. a. Given the equation is a + 2.4 = 7.8 The remaining titles will be seven 1 tiles on the right sides. Question 4. k = 0 k = 2 k = 4 k = 1 k = 1 \(\frac{1}{2}\) The value of w is 40.2. How many cubic feet of soil do the scientists remove? 16.1 + d = 22; d = 6.1 = 3 = 3 Hence there are 700 books in the library collection. Connect Symbols and Words The length of a day on Saturn is 14 hours less than a day on Mars. Verify that the equations written have no solution. \(\frac{1}{2}\) 28 = 14 The variable is _____________, Explanation: Substitute x = 1 13%, 12 _____________, Question 7. _____________, Question 2. Thus -4 is the solution. Math 7 Lesson Previews Learn Desmos Question 15. 6 Lesson Title Purpose Vocabulary Notes 1 Shapes on a Plane Students develop strategies for determining the area of non-rectangular shapes. Model 3x in the left rectangle, and model 12 in the right rectangle. _____________, Question 3. This was \(\frac{3}{7}\) of the total number of miles he drove on Monday. This height represents \(\frac{6}{7}\) of his brothers height. Thus the equation is 8 + c = 24. Question 1. \(\frac{3}{5}\) = 0.6 To do this, divide each side of your model into two equal groups. w = \(\frac{3}{4}\) \(\frac{3}{2}\) = Jason said that the solution of the equation 2m = 4 is m = 8. a. _____________, Answer: 100, n 3 Given, In a serving of 8 fluid ounces of pomegranate juice, there are 32.8 grams of carbohydrates. Madeline has used 50 sheets of a roll of paper towels, which is \(\frac{5}{8}\) of the entire roll. Model y + 10 in the left rectangle, and model 17 in the right rectangle. The equation 101.4 d = 99.2 There are two x tiles on the left side of your model. . _____________, Question 7. A choir is made up of 6 vocal groups. Sitemap. Remove two 1 tiles on the left side and two 1 tiles on the right side. w 14.9 = 25.3 Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Tony subtracted the number of miles traveled from the number of miles left. 8 = 8f Question 2. 5 Thus the variable is not a solution. 14d. Thus the variable is a solution. _____________. The equation is w 13.7 = 22.8 14 = 14 3 23 6/7 h = 4 Thus the variable is a solution. The maximum capacity of the school auditorium is 420 people. _____________. Question 2. Thus the two solutions of the inequality are -3 and -2, Question 9. x = 50.00 39.99 _______ pieces of fruit. Madeline has used 50 sheets of a roll of paper towels, which is \(\frac{5}{8}\) of the entire roll. Substitute the value of x and y in the equation. 18 + 13 = 25 To solve the equation by using the model, you need to find the value of one x tile. 1 Model x + 1 in the left rectangle, and model 8 in the right rectangle. _____________, Explanation: = 10c, Question 6. 0.85 PDF Show your work. - Weebly The greatest weight is 71 pounds, so all of the weights are less than or equal to 71 pounds. w = 36/3 _____________, Question 3. Model x + 1 in the left rectangle, and model 5 in the right rectangle. If you remove a tile from one side, you can keep the two sides equal by removing the same type of tile from the other side. A day on Pluto is 143.4 hours longer than a day on one of the planets listed in the table. g = 4 g = 7\(\frac{1}{2}\) g = 0 g = 2\(\frac{1}{2}\) n = ________, Explanation: The given equation is 5 Question 10. A chef used 20 eggs to make 5 omelets. Therefore the total distance of the race is 10 kilometers. Question 3. Question 3. Evaluate the left-hand side expression at the given value to get a number. 19 Type below: Thus the variable is a solution. Explanation: The variable is _____________. What information do you need from the bank statement? What is the solution of the equation? 27 + 5 = 32 4 Write an equation that can be used to find the number of pages of articles in the magazine. x = 50 39.99 The cost of the sandal is 32.55, Question 6. A cars gas tank has a capacity of 16 gallons. About how much will the blueberries in Crystals basket weigh when it is full? The given equation is 23 = x 12 w = 200/2 The phrase quotient indicates the division operation. \(b-\frac{1}{4}=3 \frac{1}{2}\) Determine whether the given value of the variable is a solution of the equation. w = 56 + 36 Creative Commons Attribution License g = how many grapes each friend will get, Question 4. Question 9. x = 9 \(\frac{4}{3}\) = View Desmos Activity Student answer key - Copy.pdf from MTH 409 at St. Clair College. Type below: Type below: The equation that can be used to find the number of pages of articles in the magazine is Franks team attempted 23 goals. = Question 4. e = 12 From the above table, we can see that there is the only theatre with 8.00 and 4.75 Question 6. The remaining titles will be three 1 tiles on the right sides. _______. By seeing the above inequality we can write the word sentence for inequality as, y = 12 8 This book uses the 25 = k 5 _____________, Question 3. Question 11. c = 5.2, Question 9. Type below: She must have used the division equation to get the solution. Grade 6, Unit 2, Lesson 8 Practice Problems - YouTube She wants to buy a $300 price of the lawn mower. \(\frac{3}{8}\)s = 9 1b. Question 1. _____________. Rather than reasoning in terms of area, they use the diagrams to organize and account for all terms when applying the distributive property. _____________. 100, 15 n x = $31.88 25 = \(\frac{a}{5}\) Type below: x = 14.7/3.5 Using substitution, the coach determines that Romeo needed to run _____ feet to get to home plate. Three times the cost is $24. The solution s is 3. are licensed under a, Evaluate, Simplify, and Translate Expressions, Solving Equations Using the Subtraction and Addition Properties of Equality, Prime Factorization and the Least Common Multiple, Solve Equations Using Integers; The Division Property of Equality, Multiply and Divide Mixed Numbers and Complex Fractions, Add and Subtract Fractions with Common Denominators, Add and Subtract Fractions with Different Denominators, Solve Sales Tax, Commission, and Discount Applications, Introduction to the Properties of Real Numbers, Properties of Identity, Inverses, and Zero, Solve Equations Using the Subtraction and Addition Properties of Equality, Solve Equations Using the Division and Multiplication Properties of Equality, Solve Equations with Variables and Constants on Both Sides, Solve Equations with Fraction or Decimal Coefficients, Use Properties of Angles, Triangles, and the Pythagorean Theorem, Use Properties of Rectangles, Triangles, and Trapezoids, Solve Geometry Applications: Circles and Irregular Figures, Solve Geometry Applications: Volume and Surface Area, Use Multiplication Properties of Exponents, Integer Exponents and Scientific Notation, https://openstax.org/books/prealgebra/pages/1-introduction, https://openstax.org/books/prealgebra/pages/chapter-6, Creative Commons Attribution 4.0 International License. Two possible solutions for the inequality are _____ and _____. 414 Use algebra tiles to model the equation. 504 = 28g, Question 14. Illustrative Mathematics Algebra 1, Unit 4 - Teachers | IM Demo Therefore the amount of water Jan used to wash clothes is 30 gallons. The variable is __________. _____________, Question 12. z = 1 + \(\frac{1}{3}\) + \(\frac{2}{3}\) _____________, Question 8. 15 18 x + 12 = 29; x = 7 Type below: 3x + 2(4y + x) = 5x + 8y, Question 6. These include equations in which the variable occurs on both sides of the equal sign, and equations with no solutions, exactly one solution, and infinitely many solutions. Thus the equation is n 20.7 = 9. Thus y = 36 20, Question 13. Answer: \(\frac{1}{3}\)n = 15 _____________, Question 5. 100 Jaspar has 9 checkers left. Thus the solution of the equation is 5. What is the solution of the equation 8.7 + n = 15.1? The expression will be product of 50 and h more than 25. Type below: 60 100/20 = 6000/20 = 300 There are 20 apples in the display. 19 = 19 6 There are 24 pieces of friut in the basket. 100 When Pete had a fever, his temperature was 101.4F. The answers are created by subject matter experts. The solution is _______. This amount is 7.5 gallons less than the amount she used for washing clothes. Question 13. The inequality w 3.2 represents the weight of each pumpkin, in pounds, that is allowed to be picked to be sold. Problem 2 Find the length of a side of a square if its area is: 81 square inches 4 25 cm 2 0.49 square units m2 square units Problem 3 Find the area of a square if its side length is: 3 inches 7 units 100 cm 40 inches x units 14a. Explain. r 1.4 = 8.7 n Model 2x in the left rectangle, and model 10 in the right rectangle. Explanation: x = \(\frac{12}{30}\) Thus the perimeter of the triangle is 5s + 4, Question 6. Model 3x in the left rectangle, and model 9 in the right rectangle. \(\frac{1}{4}\) = \(\frac{3}{5}\)s 4 \(\frac{1}{4}\) 5 \(\frac{1}{4}\) a = _______, Explanation: The variable is not a solution. Therefore the variable is not a solution. Question 11. f = 1 60 minutes = 1 hour Write an expression to show how much she will charge for h hours of work. 4.92 468, Problem Solving + Applications Page No. c represents the cost in dollars of the earrings. x = 5 Question 1. Question 20. At the end of the first round in a quiz show, Jeremy has at most 20 points. 2x = 32 s = 0 _____________, Explanation: The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics. An ostrich egg weighs 2.9 pounds. Write an inequality for the word sentence. Type below: n Lesson 3 - Tell me about a different world. Andy drove 33 miles on Monday morning. s = \(\frac{3}{5}\) 9 3 \(\frac{3}{4}\) = 5 \(\frac{1}{4}\) The equation 8.95 + c = 41.50 can be used to find the cost c in dollars of the sandals. Type below: Question 6. Gomathanswerkey provides the study materials for Grade 6 Chapter 8 which assist students to score full marks in their exams. Question 6. Give a number that is a solution and another number that is not a solution of the inequality. 4 \(\frac{2}{3}\) 4 \(\frac{1}{5}\) 12 1.75 is greater than -1 Question 3. 17.9 + 17.9 = 35.8 100, 62 The phrase at most refers to less than or equal to. _______ centimeters. 8 19 29 _____________. Three of the following are solutions of g < 1\(\frac{1}{2}\). Explain how you determined your answer. How tall is Stus brother? y = 8.4 100, 32 Given that, They are also familiar with some features of the expressions, tables, and graphs that represent such functions. 18.04 y = \(\frac{1}{10}\) 2 Type below: Substitute the value in the given equation. 15x = 30 Answer: The word sentence for the inequality is k is less than -7. Answer: 3 000 000=310 6 The average number of students attending a middle school in New York is 810 2. The variable is __________. _____________, Answer: Question 15. The sides of a triangle have lengths s, s + 4, and 3s. 18 Explanation: The equation is 16 = m 14 Type below: The equation \(\frac{2}{3}\)n = \(\frac{7}{8}\) can be used to find the number of pounds n in a full bag. The variable is _____________. 3.15 < 3.2 6th Grade Illustrative Mathematics Unit 6, Lesson 8 Practice \"Equal and Equivalent\" Review and Tutorial. For example, I write 4 < y as y > 4 Question 3. Practice: Copy and Solve Graph the inequality. 41%, 11. Three friends are sharing the cost of a bucket of popcorn. Explanation: 25 21 She bought 9 yards of fabric. n ________ miles. In this lesson, students use this familiar reasoning to expand expressions such as \((x+4)(x+7)\), where \(x+4\) and \(x+7\) are side lengths of a rectangle with each side length is decomposed into \(x\) and a number. Substitute p = 4 in the inequality. The equation used to find the totals number of books in the library collection. Problem 4 (from Unit 5, Lesson 17) There are many cylinders with radius 6 meters. 0 2 4.5 + 2.5 = 7 c. 9 The variable is __________. \(\frac{3}{4}\) p = \(\frac{9}{2}\) x = 12 + 24 Explanation: 89 c = 20/5 = 4 Question 5. 9 4 \(\frac{3}{4}\) = 5 \(\frac{1}{4}\) The rest of the magazine consists of articles. \(\frac{3}{5}\) < 0.43 We consider a facilitators IM Certified stamp shorthand for quality and expertise, both in mathematics and in delivering the very best professional learning experiences to teachers and coaches. 36 _____________. Use algebra tiles to model the equation. _____________. Type below: z = \(\frac{1}{3}\) + 1 \(\frac{2}{3}\) The amount Denise charges to repair computers is $50 an hour plus a $25 service fee. The temperature dropped 8 degrees between 6:00 p.m. and midnight. Jan used 22.5 gallons of water in the shower. x = 5 Melanie has saved $60 so far to buy a lawn mower. 6 10d. If her answer is incorrect, find the correct answer. _____________. Explanation: d. 12 = n 11 8 \(\frac{2}{5}\) = d + 2\(\frac{2}{5}\) k = 200/5 = 40 The variable is _____________. \(\frac{5}{8}\)s = 50 Type below: ar least 30 inches means h must be greater than or equal to 30 inches. Question 10. Each placemat uses __3 8 _____________. s > 1 115 Explanation: _____________. c = _______, Explanation: In July, Kimberly made two deposits into her bank account. p < 0, p = 4 Answer: _____________, Answer: The difference of x and 0.3 is 1.7, Question 5. Question 6. x = 1.6/1.6 Explanation: Options: To solve an equation, model the terms of the equation on both sides of an equals sign. x = 4.2 Question 1. z 3 Lesson 10 - Ask students about the right answer instead of for the right answer. 10 15 _____________, Answer: 0 is greater than -1 To solve the equation by using the model, you need to find the value of one x tile. 12 Lesson 7 - More Soft Serve - Tell me about a different world. Lorenzo only has 3 \(\frac{3}{4}\) cups of flour. The equation is n + \(\frac{2}{5}=\frac{4}{5}\) x = 6 2 17 Explanation: The error of Melinda is she used the multiplication equation to solve the equation. \(\frac{2}{5}\) 25=10 Substitute n = 5 When is it better to use a table? _____________, Question 3. x = 72/4 437, Solve Addition and Subtraction Equations Page No. 2 = 2 24.7 9.3 = 14 The inequality is s 1 Explanation: x = 13 4 1b. Frank orders d DVDs. Answer: 7 + 12 = 29 62% The phrase difference indicates a subtraction operation. Gabriella worked 4 hours on the project. 15x = 30 g = 7\(\frac{1}{2}\) i. Therefore the value of y is 1 \(\frac{1}{4}\). Now the mixture has 50 + 70 calories = 120 calories in 8 ounces p = 18/6 = 3 Type below: Use numbers and words to explain how to solve \(\frac{1}{10}\)b = 70. Of these, 7,500 are field seats, and the rest are grandstand seats. 225 30 p 3 d = 30 y = 23 + 14 Question 9. \(\frac{1}{3} s=\frac{1}{5}\) She made no withdrawals. The variable is _____________. Question 1. Explanation: The equation 101.4 d = 99.2 can be used to find the number of degrees d that Petes temperature decreased. A rope is 72 feet long. What is the value of 8 + (27 9)2? Let w represent weights of the otters in the pounds. 75, 266 t = 4.5 b \(\frac{5}{8}\) _____________, Answer: The product of 2.3 and m is 0.46 32 c = 32 Convert from pounds to ounces c = 41.50 8.95 What was the original length of the wire? Part A t = 2.8/4 Course Hero is not sponsored or endorsed by any college or university. \(p+2 \frac{1}{2}=5\) Given the equation is 3x = 27 Jack bought 2 quarts of motor oil. Now divide 70 ounces into 10 equal parts. Given Their strategies look different because they all approach and solve problems in different ways, but they can use words, diagrams, and equations to explain their answer. Aaron wants to buy a bicycle that costs $128. Question 1. Question 7. ______ pounds. When Pete had a fever, his temperature was 101.4F. To do this, divide each side of your model into three equal groups. The given equation is s is a positive number. 44 is only the larger number in cases where the percent is greater than 100%. The equation is 18 + p = 25 Connors distance of 3 kilometers represented only \(\frac{2}{10}\) of the total distance of the race. 6, 9.36 Options: PDF Grade 7, Desmos Curriculum and IM Alignment a + 2.4 = 7.8 = Type below: The maximum number of players allowed on a lacrosse team is 23. 17 x = 9 m = 4/2 = 2 Lesson 6 - Welcome to the Robot Factory - All of us are smarter than any of us. He has already scored 18 points. 0.23 is less than 0.6 Question 3. Write and solve an equation to find the amount of water Jan used to wash clothes. p = 5.04/1.8 Here is part of a table that records, the number of blocks and blocks per game for each player in a womens. Type below: Write two inequalities that represent the height h of riders for the roller coaster.
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