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Graph the solutions of the inequality on the number line. Type below: The amount of soil in cubic feet that they remove is equal to 6. The equation is 88.9 t = 22.1 _____________. _____________, Question 20. a. Alex should have packed half as many shorts and twice as many shirts. A number that is a solution is 55 and a number that is not a solution is 29. _____________, Question 3. \(\frac{3}{12}\) \(\frac{3}{8}\), Explanation: Question 2. = x = ________, The equation is x + 6 = 7 Eureka Math Grade 8 Module 4 Lesson 6 Problem Set Answer Key Students practice using the distributive property to transform equations and solve. He made 90 bowls during the week. Write and solve an equation to find the price p in dollars of one gallon of gasoline. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . Wk. A sedan traveled 504 miles on the highway on a full tank of gas. c = 4 Wk. 1.8p = 5.04 Write a recursive definition for this sequence using function notation. Question 3. x = 10 3 = 7, Question 7. _____________. The remaining titles will be two 1 tiles on the right sides. Question 4. Type below: Teachers with a valid work email address canclick here to register or sign in for free access to Cool Down, Teacher Guide, and PowerPoint materials. Explanation: Type below: Jaspar has 9 checkers left. d. 2 = m 15. Reach out to your IM Certified partner to schedule professional learning, order print materials or digital subscriptions. Unit 6: Expressions, Equations, and Inequalities Lesson 1 - Create a headache. A choir is made up of 6 vocal groups. 3x + 8y + 2x The equation 101.4 d = 99.2 can be used to find the number of degrees d that Petes temperature decreased. _____________. _____________, Answer: _____________, Question 6. , 200, 4 The variable is not the solution. k = \(\frac{7}{10}\) Andy drove 33 miles on Monday morning. The given equation is Next, write an inequality to describe the number of pups by using the least number of pups on the list. x = 9 The given equation is Explanation: 5.5 + 2.5 = 7 9 d = 5 \(\frac{1}{4}\); d = 3 \(\frac{3}{4}\) is a solution. Help students become lifelong math learners. Thus the equation is 8 + c = 24. 1 Thus Using substitution, the coach determines that Romeo needed to run 66.8 feet to get to the home plate. t = 4.5 Use mental math to find the solution to 4x = 36. p = 4 2 \(\frac{1}{2}\) These materials enable personalized practice alongside the new Illustrative Mathematics 8th grade curriculum. In July, Kimberly made two deposits into her bank account. p = 2.5 + 15.5 The elevation e is greater than or equal to 15 meters. 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. Type below: Model x + 5 in the left rectangle, and model 10 in the right rectangle. n = 1 \(\frac{5}{16}\) Type below: Tabbys mom says that she must read for at least 30 minutes each night. 1.6x = 1.6 1b. Answer: When Pete had a fever, his temperature was 101.4F. If a coyote could maintain its top speed, how far could it run in 15 minutes? 100 In this unit, students learn to understand and use the terms "rate of change," "linear relationship," and "vertical intercept.". c is less than or equal to 25. The variable is __________. Using substitution, the coach determines that Romeo needed to run _____________ feet to get to home plate. The variable is _____________. Explanation: Furthermore, my students have developed a deeper understanding of mathematical concepts through making meaning of their conversations with each other and myself about the topic at hand. 12 n Explanation: n = 15.1 8.7 Gabriela is solving the equation x + 1 = 6. x = 1 \(\frac{3}{4}\), Question 11. Type below: The lowest price on an MP3 song is $0.35. u > \(\frac{-1}{2}\), u = 0 p = \(\frac{5}{4}\) Type below: _____________, Question 3. Question 3. Type below: Give today and help us reach more students. By seeing the above table we can say that the equation is 4x = 36 Download Go Math Grade 6 Chapter 8 Solution of Equations Answer Key PDF for free and start your practice. y = 37 The Szetos sold their home for five times what they paid 30 years ago. \(\frac{3}{5}\) is less than but not equal to 1 \(\frac{2}{3}\) Type below: The height h is greater than 2.5 meters Two possible solutions for the inequality are _____ and _____. The solution means that the mountain lion has lived at the zoo for 1 year. Type below: The inequality p < 4.75 represents the prices p in dollars that Paige is willing to pay for popcorn. c = 4.1 grams, Question 12. Answer: The statement is equality because it compares two amounts t and 13 using an inequality symbol. 24 (8 2) 100, 90 Explanation: The equation 3s = 21 can be used to find the number of students s in each van on a field trip. b \(\frac{1}{4}\) = 3 \(\frac{1}{2}\) The cost of the items without sales tax was $430. 4 Karen is working on her math homework. Use algebra tiles to model the equation. Today is the twenty-first day of the marking period. m = 6 \(\frac{1}{2}\) + 2 \(\frac{3}{4}\) The equation is 18 + p = 25 6th Grade Illustrative Mathematics Unit 6, Lesson 8 Practice \"Equal and Equivalent\" Review and Tutorial. \(\frac{x}{5}\) = 3 f = 120/5 Type below: 14 = 14 Type below: Write and solve an equation that can be used to find how many goals Spencers team attempted. Type below: Lesson 9 - Bicycle Goals - All of us are smarter than any of us. 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? Type below: There are 100 calories in 8 fluid ounces of orange juice and 140 calories in 8 fluid ounces of pineapple juice. Substitute the solution c in the inequality. When Pete had a fever, his temperature was 101.4F. 6, 9.36 t = 23.22 21.50 6 The solution is ________ \(\frac{}{}\). Thus the variable is a solution. Their thick fur helps them to stay warm in cold water. Course Hero is not sponsored or endorsed by any college or university. The equation is n 0.5 = 29, Question 5. 60 70 = 2 5 = 10 Each group has an equal number of singers. Three of the following are solutions of g < 1\(\frac{1}{2}\). 96 \(b-\frac{1}{4}=3 \frac{1}{2}\) x + 4 = 35 2 The variable is a solution. 35 The equation that could be used to find the number of gallons the tank holds is = 16.1 + d = 22; d = 6.1 Students learn by doing math, solving problems in mathematical and real-world contexts, and constructing arguments using precise language. The Empire State Building in New York City is 443.2 meters tall. The equation 153.3 p = 143.4 can be used to find the length in hours p of a day on the planet. Match each scenario with the equation that can be used to solve it.