Sophia took home \(\frac{2}{5}\) of the pizza that was left over from a party. In this unit, students learn about populations and study variables associated with a population. Thus the variable is not the solution. Question 1. = _____________. 641 8 Solve the equation \(\frac{3}{7}\)m = 33 to find the total number of miles Andy drove on Monday. y = 9.1 6.2 h 10 0 is less than 0.43 He wants to use the gift card to buy lunch. Alex should have packed half as many shorts and twice as many shirts. Stu is 4 feet tall. 16.1 + d = 22; d = 6.1 The price tag on a shirt says $21.50. t 4 is t is less than or equal to 4 which means t is equal to 4 or 3.9. 100, 27 4 \(\frac{1}{2}\) = \(\frac{9}{2}\) \(\frac{5}{6}\)f = 20 = The equation will be 2p + 5. So far, he has saved $56. The expression will be the product of 10 and d more than 5.50 r = \(\frac{5}{2}\) A cars gas tank has a capacity of 16 gallons. Question 3. Tables are best when looking for the precise details of the data . Explanation: \(\frac{3}{4}\) p = \(\frac{9}{2}\) k = 2 _____________. ii. 100, 45 c. 25 = n 2 p This height represents \(\frac{6}{7}\) of his brothers height. Question 9. = Type below: 19 = 19 w = 14.4/6 Type below: 3 w = 9 4 Therefore the value of y is 1 \(\frac{1}{4}\). w = 3.18 = _____________, Answer: Thus the equation is n 20.7 = 9. Question 4. \(\frac{x}{3}\) = 4 Given, Download Go Math Grade 6 Chapter 8 Solution of Equations Answer Key PDF for free and start your practice. Substitute the value in the given equation The inequality symbol for less than or equal to is . _____________. Write and solve an addition equation to find the number of miles Carlos walked on Friday A hybrid SUV uses 36 miles per gallon in the city. Explain how you determined your answer. Question 8. 2 g = 4 g = 7\(\frac{1}{2}\) g = 0 g = 2\(\frac{1}{2}\) 23.8 = 3.5b 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. Substitute the value in the given equation. Draw a full circle at 42 to show that 42 is a solution. a + 2.4 = 7.8 What is the length of a storm that lasts \(\frac{1}{3}\) of a day on this planet? Explanation: Explanation: By seeing the above table we can say that the equation is 4x = 36 6 Type below: \(\frac{w}{7}\) = 0.3 Answer: All Big Ideas Math Grade K-12 Textbook Answers are designed by highly experienced subject expertise as per the common core 2019 curriculum. Question 5. Type below: Question 9. The equation to find the temperature at 6:00 p.m is 34F, Question 15. _____________, Answer: Jaspar has 9 checkers left. The shipping charge for an entire order is $5.50. Explanation: Question 12. Type below: 6th Grade Illustrative Mathematics Unit 6, Lesson 8 Practice \"Equal and Equivalent\" Review and Tutorial. Question 7. 8 \(\frac{2}{5}\) = d + 2\(\frac{2}{5}\) b is less than \(\frac{1}{2}\), Question 4. The equation 153.3 p = 143.4 can be used to find the length in hours p of a day on the planet. she can make 12 skirts from 9 yards of fabric. The equation 39.99 + x = 50 can be used to find the amount x that is left on the gift card. Use the table for 1415. _____________, Question 2. Thus the height of Stus brother in feet is 4 \(\frac{2}{3}\) feet. The maximum capacity of the school auditorium is 420 people. The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds. Marla scored twice as many points as Craig but 5 fewer than Nelson score. Substitute the value in the given equation. Thus the variable is a solution. 4.5 + 2.5 = 7 52 Explanation: Question 8. Explanation: w = 0.3 7 The t-shirt cost $8.95. Thus the 2 solutions are 5.8 and 5.9, Question 13. c = 9 Match each scenario with the equation that can be used to solve it. 1 n = ________, Explanation: Given, To solve the equation, get the y tile by itself on one side. a = 18 60 w = 40 5/2 _______. He has already scored 18 points. x 7.5 = 22.5 The solution means that the mountain lion has lived at the zoo for 1 year. q is more than \(4 \frac{1}{3}\) and [/latex]5 \frac{1}{6}[/latex] The inequality is p < 0 The equation is 3a = 5.70, Question 2. A number that is a solution is 55 and a number that is not a solution is 29. Unit 1, Lesson 5, Lesson Synthesis. The maximum number of players allowed on a lacrosse team is 23. Let w represent weights of the otters in the pounds. d = 30/2 _____________, Question 7. Type below: OpenStax is part of Rice University, which is a 501(c)(3) nonprofit. Substitute the value of x and y in the equation. 1 15 Options: The equation to find one pound of walnuts cost is 1.8p = 5.04 \(\frac{1}{10}\) = \(\frac{1}{10}\) 3 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. p = 3 _______, Explanation: 115 There are four x tiles on the left side of your model. Kimberlys balance at the beginning of July is $31.88, Question 17. 3.5b = 23.8 Explanation: 16 8 \(\frac{2}{5}\) = d + 2\(\frac{2}{5}\) w = 100, Question 6. The inequality p < 8.00 represents the prices p in dollars that Paige is willing to pay for a movie ticket. The cost of the sandal is 32.55, Question 6. The final cost of the shirt, including sales tax, is $23.22. x + 12 = 29 Question 7. Salimah had 42 photos on her phone. Explanation: The inequality s 92 represents the score s that Jared must earn on his next test to get an A on his report card. 9 = \(\frac{3}{4}\)e _____________, Answer: The difference of a number and \(\frac{2}{3}\) is \(\frac{3}{8}\). 1b is "The solutions to are all possible combinations of unit prices for the two items that make a total of $ 178.50 when buying 8 calculators and 1 measuring tape." and for 3c the dollar amount is $ 673.50. Model x + 2 in the left rectangle, and model 8 in the right rectangle. Write and solve an equation to find the price p in dollars of one gallon of gasoline. Explanation: Explanation: What was the total distance of the race? 8. 395 20 = 20 13% x = 23 + 12 _____, Explanation: Substitute the solutions in the inequality. x 24 = 12 Explain how to check if your solution to an equation is correct. , The given equation is d = 30/3 = 10 kilometers Answer: Question 12. _____________. Question 7. What step should he do to get m by itself on one side of the equation? x = 36 Thus the variable is not a solution. Students match sequences and recursive definitions in a matching activity, giving them opportunities to explain their reasoning and critique the reasoning of others (MP3). z = ________. The variable is _____________, Explanation: \(\frac{1}{5}\) is greater than \(\frac{1}{4}\) 1 Connor ran 3 kilometers in a relay race. Write and solve an equation that can be used to find how many goals Spencers team attempted. n + 35 = 80 The given equation is m = 40 16.8 Question 1. \(\frac{1}{10}\)b = 70 Question 5. p = 2 \(\frac{1}{2}\) 2 _____________, Explanation: 36 z = 1 + \(\frac{1}{3}\) + \(\frac{2}{3}\) 1 pound = 16 ounces l = 880 feet What do you need to find? h = 4 \(\frac{2}{3}\) feet Transform the equation if necessary, and then solve it to find the value of x that makes the equation true. The inequality symbol for greater than or equal to is . ________ grams, Explanation: 16 + n = 39 x + 1 = 6 _____________, Answer: Which one has p = 2 \(\frac{1}{2}\) as its solution? Thus the solution of the variable t is \(\frac{9}{10}\), Question 10. d = 8 + \(\frac{2}{5}\) 2 \(\frac{2}{5}\) c = 20/5 = 4 7.5 7 Question 8. consent of Rice University. 3.4 3.2 Let the equation be x + 4 = 13 Type below: That is an inequality to represent the cost of an MP3 song. Melinda has a block of clay that weighs 14.4 ounces. Model x + 5 in the left rectangle, and model 9 in the right rectangle. Thus the equation is 25 = 13 + n. Question 2. _____________, Answer: IM 912 Math has spurred a rapid shift in how I go about teaching and learning mathematics. Model 2x in the left rectangle, and model 8 in the right rectangle. Explanation: Math Topics Distance Learning Plans. Solve. 14b. b/8 = 56; multiply both sides by 8 to solve for b, and you get b = 448, Question 14. x = 10 3 = 7, Question 7. _____________. Write an expression to show how much she will charge for h hours of work. She solves the equation \(\frac{b}{8}\) = 56 and says that the solution is b = 7. y = 37 Answer: The Empire State Building in New York City is 443.2 meters tall. g = 4 The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo Grade 6, Unit 3, Lesson 8 Practice Problems - YouTube More about Constant SpeedPractice Problems - IM 6-8 Math was originally developed by Open Up Resources and authored by Illustrative. Julio played 18 video games. There are 24 pieces of friut in the basket. m + 16.8 = 40 Not a solution Explanation: The equation \(\frac{5}{6}\)f = 20 can be used to find how many pieces of fruit f are in the basket. \(\frac{1}{5}\) > \(\frac{1}{4}\) 16 gallons = 16 8 = 128 pints 25 = 25 \(\frac{2}{3}\) < 2 \(\frac{3}{4}\) Number of calories in 4 ounces of juice 100/8 4 = 50 calories f = 24 Explanation: Model and solve the equation 5x = 20 to find the number of eggs x in each omelet. 39 a = 17\(\frac{1}{2}\) citation tool such as, Authors: Lynn Marecek, MaryAnne Anthony-Smith. c = 430 345 1 yard = 3 feet A(n) _____ is a statement that two mathematical expressions are equal. 3.5x = 14.7 b = 3 \(\frac{1}{2}\) + \(\frac{1}{4}\) Use algebra tiles to model the equation. Type below: Madeline has used 50 sheets of a roll of paper towels, which is \(\frac{5}{8}\) of the entire roll. x + 4 + 2 = 35 _____________ Thus 0 is not the solution. c = $90 $27. The variable is __________. What was the cost of the coat? _____________. Use the table for 1216, Question 12. Model x + 3 in the left rectangle, and model 4 in the right rectangle. The sum of a number and three = n + 3 From the above table, we can see that there is the only theatre with 8.00 and 4.75 The answer is no. There are three x tiles on the left side of your model. _____________, Answer: A rope is 72 feet long. 0 < 0.43 1 17.9 + 17.9 = 35.8 Ready to get Started with the IM Certified Experience? Type below: Graph your inequality from Exercise 12. Question 2. 1.75 is greater than 0.43 Rachel determines there are _____________ days left. c = \(\frac{3}{4}\) This is 3F warmer than the temperature at 8:00. The inequality w 3.2 represents the weight of each pumpkin, in pounds, that is allowed to be picked to be sold. cup, n 15 88.9 t = 22.1 _____________. The given equation is p 14 = 14 Question 7. How tall is Stus brother? The equation l 12.5 = 48.6 can be used to find the original length l in centimeters of a wire before it was cut. , Question 10. y = \(\frac{1}{10}\) 2 Next, write an inequality to describe the number of pups by using the least number of pups on the list. 23 This amount represents \(\frac{2}{3}\) of the entire bag. Question 8. w = 25.3 + 14.9 Graph the solutions of the inequality c < 12 3 on the number line p =\(\frac{1}{2}\) k = \(\frac{7}{10}\) 5 \(\frac{1}{4}\) = 5 \(\frac{1}{4}\) 60 70 The given equation is 100, 0.24 This is 119.2 meters taller than the Eiffel Tower in Paris. She solves the equation \(\frac{b}{8}\) = 56 and says that the solution is b = 7. t = 0.7, Question 4. = m \(2 \frac{3}{4}=6 \frac{1}{2}\) Solution For access, consult one of our IM Certified Partners. \(\frac{1}{3}\) \(\frac{3}{4}\) = \(\frac{3}{8}\) _____________, Explanation: In other words, the value in cg multiplies by 10 to get a value in mg. The equation \(\frac{5}{8}\)k = 25 _____________. Explanation: Explanation: This book includes public domain images or openly licensed images that are copyrighted by their respective owners. 14d. Thus the value of d is 6. The phrase difference indicates the subtraction operation. Thus the answer is no. Question 13. x = 5 \(\frac{1}{2}\) 3 \(\frac{3}{4}\) Verify that the equations written have no solution. 14d. Answer: We need the information about the deposit on July 12 and July 25 from the bank statement. 8 By seeing the above inequality we can write the word sentence for inequality as, p = 4 2 \(\frac{1}{2}\) 11 2.5h = 60 Describe Jasons error, and give the correct solution. n = (4 2)/5 z = deposit 2 Question 12. 11 p The variable is _____________. 3c = 24, Question 5. A ring costs $27 more than a pair of earrings. Question 6. Three friends are sharing the cost of a bucket of popcorn. Thus the variable is a solution. 3 Question 5. 1 5 t 23 _____________. This lesson transitions students from reasoning concretely and contextually about quadratic functions to reasoning about their representations in ways that are more abstract and formal (MP2). y 3, y = 1 s = 1.75 A sedan uses 28 miles per gallon on the highway. The equation is 5c = 20 75 = 18 \(\frac{1}{2}\) + n, Question 9. Answer: r = \(\frac{3}{4}\) \(\frac{10}{3}\) \(\frac{2}{5}\)v=10; v = 25 5 Explanation: The given equation is Answer: 32 = 3.2c Answer: d. 10 The equation is 7 + x = 12 n + 12 = 75 So, 1 ounce of the mixture has 120/8 = 15 calories. Thus the answer is yes. ________ F, Explanation: _______ square feet. Draw 11 rectangles on your MathBoard to represent the two sides of the equation. _____________, Answer: Thus Using substitution, the coach determines that Romeo needed to run 66.8 feet to get to the home plate. Carlos bought 5 tickets to a play for a total of $20. Answer: \(\frac{5}{8}\)k = 25 _____________. The variable is __________. b \(\frac{1}{4}\) = 3 \(\frac{1}{2}\) \(\frac{2}{3}\) 12 = 8 8 7 = 15 The variable is a solution. m = 9 \(\frac{1}{4}\), Question 10. Question 5. Question 1. Answer Key Chapter 6 - Prealgebra | OpenStax Uh-oh, there's been a glitch Support Center c87a42b167e14be5a29e169e6f4b018d, 1875745c504b4ab1bcd20eb3bb62effc OpenStax is part of Rice University, which is a 501 (c) (3) nonprofit. In the equation t + 2.5 = 7, determine whether t = 4.5, t = 5, or t = 5.5 is a solution of the equation. Explanation: To solve the equation by using the model, you need to find the value of one x tile. UNIT 6 LESSON 8 Practice Multiplying a Fraction by a Whole Number143 . Solve the equation 2.5m = 10. Use words and numbers to explain how to solve the equation to find how many pieces of fruit are in the basket. 4x = 36 Explanation: . A choir is made up of 6 vocal groups. Use algebra tiles to model the equation. 92 are not subject to the Creative Commons license and may not be reproduced without the prior and express written SAT PREP. The given equation is ______ students. Type below: s = \(\frac{3}{5}\), Question 11. Explanation: Remove three 1 tiles on the left side and three 1 tiles on the right side. \(2+p=2 \frac{1}{2}\) 4 p = 2 \(\frac{1}{2}\) 100, 32 2 _____________, Question 11. Unit 8 Pythagorean Theorem and Irrational Numbers Side Lengths and Areas of Squares The Pythagorean Theorem Side Lengths and Volumes of Cubes Decimal Representation of Rational and Irrational Numbers Let's Put it to Work Unit 9 Putting It All Together Tessellations The Weather Match the inequality with the word sentence it represents. p = \(\frac{15}{16}\) pounds 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. Explanation: %, b = 700 _____________, Answer: g < 1\(\frac{1}{2}\). a = _______, Explanation: x > 4 A baby weighs 7 pounds 2 ounces at birth. Answer: n 3.18 lb, 4 lb, 3.2 lb, 3.4 lb, 3.15 lb _______ centimeters. _____________ _____________. t = \(\frac{}{}\), Explanation: Question 6. _____________, Explanation: A day on Pluto is 143.4 hours longer than a day on one of the planets listed in the table. This was \(\frac{3}{7}\) of the total number of miles he drove on Monday. Thus the variable is a solution. ________ ounces. _____________, Question 12. d = 15 kilometers Write an expression that is equivalent to 4 + 3(5 + x). The phrase more than indicates addition operation. Unit 6.1, Unit Facilitation Guide Section 1: Area (Lessons 1-8) Students develop strategies for calculating the area of parallelograms, triangles, and polygons, including generalizing and using formulas. Using substitution, Rachel determines there are 24 days left in the marking period. Thus the solution is less than 6. IM K-12 Math is a problem-based core curriculum designed to address content and practice standards to foster learning for all. = Type below: The answer for the above equation is 32. Grade 6, Unit 6, Lesson 1 Practice Problems Matt Richards 6.15K subscribers Subscribe 8.2K views 3 years ago Grade 6 - Illustrative Mathematics Practice Problems Tape Diagrams. The solution is 12, Question 2. , Thus the correct answers are B, C and D. Question 9. The equation 39.99 + x = 50 5 f = 20 6 The distance from third base to home plate is 88.9 feet. To find out how far a car can travel on a certain amount of gas, multiply the cars fuel efficiency in miles per gallon by the gas used in gallons. The remaining titles will be three 1 tiles on the right sides. 6, 9.36 %, 17 8 p = 96 \(\frac{1}{3}\)n = 15 The equation is 8.7 + n = 15.1 Let n represents the unknown number. Question 16. If Dawn were 5 years older, she would be Jarons age. \(\frac{t}{4}\) = 16 Explanation: 52, n Explanation: Answer: 36 Remove one 1 tiles on the left side and one 1 tiles on the right side. Problem Solving + Applications Page No. Thus the expression 4 + 3(5 + x) is equivalent to 4 + 15 + 3x or 3x + 19, Question 1. 20 g = 0 15g = 135 MHF4U - Desmos Animated Design 20 marks In this assignment, you will use your knowledge of. c = 1.3 4 The inequality is b 44. For numbers 10a10d, choose Yes or No to indicate whether the equation has the solution x = 12. _____________, Answer: Alice has played for 12 years. 8 + (27 9)2? volleyball tournament. Type below: Model x + 5 in the left rectangle, and model 7 in the right rectangle. n = 23 Thus the solution of the equation is 5. 463, Problem Solving + Applications Page No. 1.75 < 0.43 _____________. Question 5. w = 92 The variable is a solution. 6 Yes _____________, Explanation: Question 11. Thus the two solutions of the inequality are -5 and -6. 8 is less than 7.8 6 Romeo was 22.1 feet away from third base when he was tagged out. ______ yards. The phrase difference indicates a subtraction operation. 7 16 + 23 = 39 Question 1. His distance represents \(\frac{3}{10}\) of the total distance of the race. Want to cite, share, or modify this book? Lesson 6 - Welcome to the Robot Factory - All of us are smarter than any of us. The solution s is 3. e. Write Kimberlys balance at the beginning of July. 18 18 The mass m is less than 5 kilograms Historical fiction books make up \(\frac{1}{10}\) of the librarys collection. p = 2 \(\frac{1}{2}\) c represents the cost in dollars of the earrings. x \(\frac{3}{4}\) = 9 A cylinder has a radius of 4 cm and a height of 5 cm. Therefore Anne runs 880 feets in each lap. 3x = 36 Given the value of x is 15 The rest of the magazine consists of articles. Type below: Jaspar has 7 more checkers left than Karen does. The lowest price on an MP3 song is $0.35. Explanation: e = 1 and 2 are the solutions because 1 and 2 are less than 3. c = 32 She divides the clay into 6 equal pieces. a. Ana bought a 15.5-pound turkey at the grocery store this month. Tell what type of numbers the variable in the inequality can represent. Explanation: 7 s = 21 Question 17. x = 6 2 Students develop their capacity to represent, interpret, and use functions to make sense of quantities in situations and to solve problems. \(\frac{1}{3} s=\frac{1}{5}\) s = 55 55 _____________. n = 75 12 \(\frac{3}{4}\)w = 9 6 h = 4 7 Write and solve an equation to find the additional amount of flour Lorenzo needs to make the recipe. b. n 4 = 19 25 2x = 32 Therefore s = 10.7 is a solution to the equation. at most 48 inches means h must be less than 48 inches. a = 72 Question 3. Answer: Reach out to your IM Certified partner to schedule professional learning, order print materials or digital subscriptions. They are also familiar with some features of the expressions, tables, and graphs that represent such functions. 1 \(\frac{1}{2}\) 2 Study Resources. Question 4. Given the equation is \(b-\frac{1}{4}=3 \frac{1}{2}\) 4.92 17.9 + v = 35.8 For the first time, curriculum, assessments, and technology to differentiate instruction live in a centralized hub. scarface rapper daughter,
unit 6 lesson 8 practice problems answer key