unit 6 lesson 8 practice problems answer key


This amount represents \(\frac{2}{3}\) of the entire bag. x = 96/12 = 8 15 15 = 30 The equation will be 2p + 5. Type below: 2 = 17 15 d = 104.4 99.2 \(\frac{1}{3}\)c = \(\frac{3}{8}\) k = 200/5 = 40 25 then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a digital format, s > -1 Given that, Estella buys 1.8 pounds of walnuts for a total of $5.04. Model x + 8 in the left rectangle, and model 10 in the right rectangle. 9 4 \(\frac{3}{4}\) = 5 \(\frac{1}{4}\) The solution s is 3. = We have included the advice of expert professionals to help the students for a better understanding of solving problems. Which of the following are solutions of the inequality k 2? ________ kilometers. a = 6.8 14 . 100 g = how many grapes each friend will get, Question 4. Terrance needs to score 25 points to win a game. Type below: Write and solve an equation to find the number of video games Scott played. A team of scientists is digging for fossils. w = 100, Question 6. k 2 Antonio ran a total of 9 miles in two days. \(\frac{3}{4}\)x = \(\frac{3}{10}\) Grade 3 Division (Kumon Math Workbooks) Kumon Publishing North America; Workbook edition (June 5, 2008) 3. 20 21 x = bank account balance x + 6 = 35 Use algebra tiles to model the equation. s > 1 Use algebra tiles to model the equation. _____________, Answer: 2, create a table that indicates your preferences for work centrality an, The manager of a bike store is setting the price for a new model. = \(\frac{1}{3}\) 2 = 6 Answer: x + 88.74 = 120.62 Launch Curriculum. How much did the popcorn cost? n + 5 = 15; n = 5 What is the solution of the equation? First, list the weights in pounds in order from least to greatest. _____________, Answer: Question 1. The phrase more than represents the greater than symbol > Gomathanswerkey provides the study materials for Grade 6 Chapter 8 which assist students to score full marks in their exams. Explanation: 1a. the difference of x and 14 is 52 So, the equation is n + 4.5 = 8.2, Question 4. n The equation 6p = 18 _____________. Thus the height of Stus brother in feet is 4 \(\frac{2}{3}\) feet. Type below: We recommend using a y = 12 8 e = 12 _____________, Answer: Sanjay played soccer games for 4 years. Luis has saved $14 for a skateboard that costs $52. 22 = 2 2 = 4 Let x be the maximum people 2. Let n represents the unknown number. The equation is 119.2 + h = 443.2, Question 1. Explanation: 10c. Use algebra tiles to model the equation. Phillip has a $25 gift card to his favorite restaurant. Darius said that 25 is not part of the solution of the inequality. ________ skirts. 75 = n + 12 If a coyote could maintain its top speed, how far could it run in 15 minutes? Phillip has a $25 gift card to his favorite restaurant. _____________, Answer: $ _______. SAT PREP. 17\(\frac{1}{2}\) 18 . Let c represents the amount of carbohydrates in each fluid ounce of the juice Tabbys mom says that she must read for at least 30 minutes each night. where a represents the number of articles. l = 5280/6 7. _______ eggs. Explanation: The inequality a 18 represents the possible ages a in years at which a person can vote. Substitute the value in the given equation 19 29 8<7.8 Explanation: w/7 = 0.3 n 13 = 2; n = 15 n = 3 10 _____________. Gabriela is solving the equation x + 1 = 6. m 55 100, 32 s = 50 \(\frac{8}{5}\) If you are redistributing all or part of this book in a print format, She runs a total of 1 mile, or 5,280 feet. Preview IM K12 Math. y = 5.8 and 5.9 are the solutions because 5.8 and 5.9 greater than or equal to 5.8 _______ singers. The remaining titles will be four 1 tiles on the right sides. The equation 8.95 + c = 41.50 can be used to find the cost c in dollars of the sandals. Combine the like terms. 4 \(\frac{2}{3}\) 4 \(\frac{1}{5}\) = 1 \(\frac{1}{9}\), Question 4. x = 50 39.99 t = 4.5 Thus y = 36 20, Question 13. Creative Commons Attribution License . Thus the variable is not a solution. 3 w = 9 4 The mixed fraction of \(\frac{70}{63}\) is 1 \(\frac{1}{9}\) There are 70 historical fiction books in the school library. Connect Symbols and Words A person must be at least 18 years old to vote. The equation that can be used to find the number of pages of articles in the magazine is She runs a total of 1 mile, or 5,280 feet. 14c. Answer: Thus the equation is x = 16. b = 6.8 A chef used 20 eggs to make 5 omelets. -0.51 is greater than -0.52 82 24 = 58 He sold 2 of them at a craft fair. Next, write an inequality to describe the number of pups by using the least number of pups on the list. The temperature at midnight was 26F. Use area diagrams to reason about the product of two sums and to write equivalent expressions. _____________. _____________. 0.85. Question 4. _____________. t 3 where t is the temperature in degrees. Explanation: \(\frac{1}{3}\) \(\frac{3}{4}\) = \(\frac{3}{8}\) Question 2. f = 7 3 7\(\frac{1}{2}\) < 1\(\frac{1}{2}\). If you wrote an equation to find the year in which Carmen was born, what operation would you use in your equation? \(\frac{a}{14}\) = 6.8 Evaluate the left-hand side expression at the given value to get a number. Question 14. Unit 8 Homework 1 Answer Key (2019).pdf (92k) Brian Donaldson, 14 less than x is 52 Explanation: Answer: The word sentence for the inequality is k is less than -7. Therefore the variable is not a solution. 5 = 4 + y The equation 101.4 d = 99.2 Lets use diagrams to help us rewrite quadratic expressions. n Jason said that the solution of the equation 2m = 4 is m = 8. The phrase at most refers to less than or equal to. 72 d = 30/3 = 10 kilometers x = 26, Explanation: ______ pounds. r = \(\frac{5}{2}\) 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. Area of rectangle is l w _______, Explanation: 26F + 8F = 34F x 7 = 15; x = 8 100 x = 8 The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds. Type below: A storm on one of the planets listed in the table lasted for 60 hours, or 2.5 of the planets days. \(\frac{2}{10}\) d = 3 Type below: c = 1.3 4 Marla scored twice as many points as Craig but 5 fewer than Nelson score. This represents \(\frac{3}{10}\) of the total amount of rain the city received in July. _____________. Eureka Math Grade 8 Module 4 Lesson 6 Problem Set Answer Key Students practice using the distributive property to transform equations and solve. Let s be the number of grandstand seats. At top speed, a coyote can run at a speed of 44 miles per hour. ________ students. 25 Show your work and describe each step. w 71, Question 9. Use algebra tiles to model the equation. Explanation: Explanation: 15/3 = 5 Reach out to your IM Certified partner to schedule professional learning, order print materials or digital subscriptions. 92 10d. Look at how Melinda solved the equation. x \(\frac{3}{4}\) = 9 _____________. In the Course Guide, under Scope and Sequence, the Pacing Guide for Algebra 2 Unit 3 was edited to remove lesson 13 from the list of optional lessons. _____________, Answer: = 5 12 = 70 \(4 \frac{1}{3}\) increased by a number is [/latex]5 \frac{1}{6}[/latex], Question 9. _____________, Question 3. The given equation is 15.5 y = 7.9; y = 8.4 Type below: Roger served \(\frac{5}{8}\) pound of crackers, which was \(\frac{2}{3}\) of the entire box. 6 = 6 w = 36.5 The total number of countries competed in total is 72. 100, 72 3.18 3.2 k \(\frac{3}{5}\) = \(\frac{1}{10}\); k = \(\frac{7}{10}\) 5x = 70 Illustrative Mathematics Grade 8, Unit 3 - Teachers | IM Demo Question 11. Type below: 11. x 12 = 23 , Expert authoring team: Read more about the educators and mathematicians who developed our curricula and professional learning: K-5, 6-8, 9-12. Number of calories in 4 ounces of pineapple juice = 140/8 4 =70 calories x 420, Question 19. 62% 100, n b. m 2 = 15 Thus the solution is 1. 100, 13 Substitute the solution a in the inequality. Question 9. 18 + 13 = 25 = Thus the variable is a solution. _____________. Use this information and the table for 1213. Solve the equation to find the number of cartons needed. _____________, Explanation: 62 _____________ y \(\frac{3}{4}=\frac{1}{2}\) Illustrative Mathematics Algebra 1, Unit 4 - Teachers | IM Demo He made 90 bowls during the week. Question 7. His distance represents \(\frac{3}{10}\) of the total distance of the race. b = 23.8/3.5 4 \(\frac{1}{2}\) = \(\frac{9}{2}\) \(\frac{3}{7}\)m = 33 Given that w is greater than or equal to 74. Answer: The statement is equality because it compares two amounts t and 13 using an inequality symbol. b = 3 + \(\frac{1}{4}\) + \(\frac{1}{2}\) Type below: 2 , She says that the solution must be less than 6. Answer: \(\frac{1}{3}\)n = 15 Type below: Thus the answer is no. Explanation: _____________, Question 1. s = 1.75 Use algebra tiles to model the equation. 125, 19 Model 2x in the left rectangle, and model 8 in the right rectangle. Openly licensed images remain under the terms of their respective licenses. Question 16. 20 Thus 1 \(\frac{1}{2}\) is not the solution. Explanation: Model x + 4 in the left rectangle, and model 5 in the right rectangle. Unit 6, Lesson 2 Practice Problems 1. p = 2 \(\frac{1}{2}\) She must have used the division equation to get the solution. e = 1 and 2 are the solutions because 1 and 2 are less than 3. This is 20% of the price of the lawn mower. _____________ 13 Ready Mathematics Practice and Problem Solving Grade 8 ISBN: 9781495704857 Curriculum Associates Textbook solutions Verified Chapter 1: Expressions and Equations (Exponents) and the Number System Section Lesson 1: Properties of Integer Exponents Section Lesson 2: Square Roots and Cube Roots Section Lesson 3: The giraffe has lived at the zoo 4 years longer than the mountain lion. Let w represent weights of the otters in the pounds. Next, write an inequality to describe the weights by using the least weight on the list. Type below: At the end of the first round in a quiz show, Jeremy has at most 20 points. What was the total distance of the race? d = 15 kilometers g = 4 Question 4. Then tell what the solution means. Miranda had 4 pounds, 6 ounces of clay. a = 17\(\frac{1}{2}\) m 2 \(\frac{3}{4}\) = 6 \(\frac{1}{2}\) 3x + 19 I Disagree with Karen. A ring costs $27 more than a pair of earrings. The total cost was $41.50. 17.9 + 17.9 = 35.8 n = 23 p = $3.15 \(\frac{2}{3}\) < 2 \(\frac{3}{4}\) The terms standard form and factored form are not yet used and will be introduced in an upcoming lesson, after students have had some experience working with the expressions. = s < 0.43 Explanation: In one week, the number of bowls a potter made was 6 times the number of plates. n = 1 \(\frac{1}{9}\), Question 1. Question 13. _____________, Question 10. Write an equation that could be used to find the amount a in dollars that each friend should pay. 30 Thus the solution of the equation is 5. 6th Grade Illustrative Mathematics Unit 6, Lesson 8 Practice "Equal and Equivalent" Review and Tutorial. c = 85 Inequality is a statement that two quantities are not equal. 1.3 = \(\frac{c}{4}\) 3 + m = 21 x = 50.00 39.99 23 + 14/2 + a = 110 The inequality s 92 represents the score s that Jared must earn on his next test to get an A on his report card. Write an inequality and graph the solutions on a number line. _____________. Question 5. ______ \(\frac{}{}\) feet. h 10 A sum or difference of two. _____________, Answer: iii. 454, Solve Multiplication and Division Equations Page No. 15 13 = 2 For numbers 14a14d, choose Yes or No to indicate whether the equation has the solution x = 15. Explanation: z = 1 + 1 = 2 Content on this page is licensed. x + 12 = 29 The variable is __________. b. m 2 = 15 Type below: There are four x tiles on the left side of your model. The given equation is _____________. \(\frac{w}{7}\) = 0.3 10c. Ms. McNeil buys 2.4 gallons of gasoline. Question 7. 250 32 The solution is f = 4 w = 200/2 Question 1. 4.92 n 6 The variable is not the solution. n 23 pups, Question 1. c + 35 = 57; c = 32 He also predi, The Dutch Flower Cluster by Michael Porter Why has the Netherlands built the most competitive cluster in the world in a country with a cold and cloudy climate? 35 m = 200/5 = 40 14b. She bought 9 yards of fabric. Question 12. _______ pages. He can use the equation 14 + m = 52 y = \(\frac{1}{5}\), Question 6. 14.7 = \(\frac{b}{7}\) _____________, Answer: s = 72/3 A childrens roller coaster is limited to riders whose height is at least 30 inches and at most 48 inches. b < 2 \(\frac{3}{4}\), b = \(\frac{2}{3}\) The variable is __________. Substitute the value in the given equation 5k = 200 The phrase greater than or equal to represents The solution for the equation 8 = 8f is 1. Salimah had 42 photos on her phone. 3 m = 33 7 Options: m + 16.8 = 40 Type below: 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. 436, Model and Solve Addition Equations Page No. Question 5. Web Resources. Type below: If her answer is incorrect, find the correct answer. \(\frac{z}{16}\) = 8 Let n represents the unknown number. x = 23 15 100, 62 . Question 6. _____, Explanation: 1 is a positive number so 1 will be greater than or equal to -1 f = -5 and -6 because -5 and -6 are less than or equal to -5 Type below: 3 + 17 = 21 Unit 3: Proportional and Linear Relationships Lesson 2 - Tell me about a different world. Write an inequality representing r, the heights in inches of people who can go on Race Track. Question 8. The variable is __________. Explanation: Type below: What is the full price of the lawn mower that she wants to buy? 60 20/100 A magazine has 110 pages. Answer: Thus the solution is 37. Let represent the height in meters and represent the volume in cubic meters. 0.6 is not less than 0.43 x = 6 1 Romeo was 22.1 feet away from third base when he was tagged out. 15 Question 4. A ring costs $27 more than a pair of earrings. How much more does he need? x + 3 \(\frac{3}{4}\) = 5 \(\frac{1}{2}\) Explanation: Thus the correct answers are options A, B, D. Explanation: Type below: The equation 39.99 + x = 50 can be used to find the amount x that is left on the gift card. Thus the correct answers are B, C and D. Question 9. Substitute the value in the given equation. Thus Rachel determines there are 24 days left. 24.7 9.3 = 14 Explanation: This is 119.2 meters taller than the Eiffel Tower in Paris. Explanation: t + 2.5 = 7 x = 18/3 = 6 Given the equation is \(\frac{1}{3} s=\frac{1}{5}\) Problem Solving + Applications Page No. Thus the inequality is J -20, Question 2. 4 Andy drove 33 miles on Monday morning. The value of n is 63. Use Math Vocabulary Explain why the statement t > 13 is an inequality. Grade 6, Unit 6, Lesson 1 Practice Problems - YouTube Question 8. Grade 6, Unit 3, Lesson 8 Practice Problems - YouTube The solution of the equation a + 56 = 128 is 72. s = 1 100 2015. g = 0 _______ ounces. Isolate the variable on one side by adding opposites and creating zero pairs. Explanation: Number of calories in 1 ounce of juice = 140/8 Explanation: Model x + 1 in the left rectangle, and model 5 in the right rectangle. \(\frac{x}{5}\) = 3 Verify that the equations written have no solution. 14 = 14 So, no. Jason said that the solution of the equation 2m = 4 is m = 8. _____________, Question 1. At how many theaters would Paige be willing to buy a ticket and popcorn? Type below: d = ________. The equation 7 + x = 10 can be used to find the cost x in dollars of the popcorn. ______ hours. Question 15. Support for teachers and parents for 8th Grade, Unit 3, Lesson 8 "Translating to y=mx+b" Illustrative Mathematics practice problems. 60 minutes = 1 hour The equation is n 2 = 3 \(\frac{1}{3}\), Question 3. _____________. Grow through a daily set of highly focused practice questions present on Go Math Grade 6 Chapter 8 Solution Key. 41% _____________. 12 Substitute p = 13 _____________, Answer: Jamie uses 12 cups of flour to make the triple batch. = _____________, Answer: 1, find an online assessment tool to score you on the Big Five Personality Framework and include the results in the assignment. x = 3 Number of calories in 1 ounce of juice = 100/8 f = 120/5 In this lesson, students use this familiar reasoning to expand expressions such as , where and are side lengths of a rectangle with each side length is decomposed into and a number. x = 8 goals, Question 6. The lightest puppy in a litter weighs 9 ounces, which is \(\frac{3}{4}\) of the weight of the heaviest puppy. Substitute s = 10.7 in the equation 5z = 25; z = 5 Type below: Substitute d = 4 Type below: He wants to use the gift card to buy lunch. 100 16 Use algebra tiles to model the equation. Let y represent Jarons age in years. 12 What is the length of the rope in yards? 2019 Illustrative Mathematics. The cost of each ticket is $4. The equation to find out how many checkers Karen has left is c + 7 = 9. %, Unit 7: Angles, Triangles, and Prisms Lesson 2 - All of us are smarter than any one of us. The goal of the lesson is for students to practice interpreting and writing recursive definitions of functions while also representing functions in different ways. z = deposit 2 s = \(\frac{3}{5}\), Question 11. Feb 9, 2022 OpenStax. \(\frac{3}{4}\) 12 = 9 17 The answer for the above equation is 32. Graph your inequality from Exercise 14. The denominators are common so subtract the numerators _____________, Answer: The equation to find the temperature at 6:00 p.m is 34F, Question 15. 449, Problem Solving + Applications Page No. 60 He sold 2 of them at a craft fair. Connect Symbols and Words The length of a day on Saturn is 14 hours less than a day on Mars. Thus the variable is not a solution. t = 23.22 21.50 Question 8. Explanation: Lorenzo only has 3 \(\frac{3}{4}\) cups of flour. Question 11. Thus the perimeter of the triangle is 5s + 4, Question 6. Explanation: Describe a Method Describe how you would draw a model to solve the equation x + 5 = 10. _____________. Let n represents the unknown number. Do you agree or disagree with Dylan? _____________. Thus the variable is not a solution. 5 \(\frac{1}{4}\) = 5 \(\frac{1}{4}\) 8 7 The equation is 21.50 + t = 23.22 Thus the answer is yes. The remaining titles will be six 1 tiles on the right sides. The inequality is p < 0 20 = 20 4 pounds = 4 16 ounces = 64 ounces Semester 1 Statistics Project. Use algebra tiles to model the equation. The variable is _____________. So far, she has filled \(\frac{2}{3}\) of her basket, and the blueberries weigh \(\frac{3}{4}\) pound. Frank orders d DVDs. In Jaimes math class, 9 students chose soccer as their favorite sport. Explanation: Question 12. The variable is not a solution. Write an equation that can be used to find the height h in meters of the Eiffel Tower. Type below: cite an example to support your ar, Consider the following class designed to store weather statistics at a particular date and time: public class WeatherSnapshot { private int tempInFahrenheit; private int humidity;// value of 56 means. n + \(\frac{2}{5}\) = \(\frac{4}{5}\) Question 4. Explanation: The equation is x + 3 = 10 Type below: _____________, Answer: Yes I agree with Darius. Question 9. m = \(\frac{}{}\), Explanation: 15 = 15 Write a division equation that has the solution x = 16. Substitute the solutions in the inequality. Illustrative Mathematics - Teachers | IM Demo Substitute n = 5 _____________. Given p = 4 Tabbys mom says that she must read for at least 30 minutes each night. 0 < 1\(\frac{1}{2}\) Not a solution l = 880 feet Write two inequalities that represent the height h of riders for the roller coaster. The phrase more than indicates addition operation.

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unit 6 lesson 8 practice problems answer key