unit 6 lesson 8 practice problems answer key
0 > \(\frac{-1}{2}\) The variable is _____________, Explanation: Type below: Type below: 0.6 is not less than 0.43 \(\frac{6 w}{6}\) = 6 14.4 Thus the inequality is J -20, Question 2. \(\frac{3}{4}\) \(\frac{2}{3}\) a = 7.8 2.4 In Jaimes math class, 9 students chose soccer as their favorite sport. _____________, Question 6. Answer: Agree with Dylan. 23 d = 104.4 99.2 _____________, Answer: 1000, 1 = c = 20/5 = 4 The equation is 6w = 14.4 g = 4 They are also familiar with some features of the expressions, tables, and graphs that represent such functions. Roger served \(\frac{5}{8}\) pound of crackers, which was \(\frac{2}{3}\) of the entire box. The variable is __________. Anne runs 6 laps on a track. \(\frac{7}{10}\) \(\frac{3}{5}\) = \(\frac{1}{10}\) The price of one gallon of gasoline is $3.15, Question 16. c = 5.2, Question 9. In a serving of 8 fluid ounces of pomegranate juice, there are 32.8 grams of carbohydrates. The weights of pumpkins are listed. The expression will be 5.70 is the product of 3 and a. \(\frac{14}{3}\) \(\frac{21}{5}\) Question 4. Thus the solution is \(\frac{2}{5}\), Explanation: k = 1 \(\frac{1}{2}\) Let c represents the number of children. 26F + 8F = 34F 1, find an online assessment tool to score you on the Big Five Personality Framework and include the results in the assignment. \(\frac{1}{3}\)c = \(\frac{3}{8}\) We have to subtract 5 years to know the age of Jaron. Question 4. Unit 1, Lesson 5, Lesson Synthesis. Each page of Naomis report contains information about 4 of the countries that competed each year. Question 5. _____________. The variable is __________. Type below: The amount of soil in cubic feet that they remove is equal to 6. e. 11 -2 2 Explanation: p represents the price in dollars of one pound of walnuts. Explain. _____________, Explanation: _____________, Question 4. n 1 \(\frac{1}{2}\) \(2+p=2 \frac{1}{2}\) 4 p = 2 \(\frac{1}{2}\) _____________, Answer: The number of miles he walked on those two days is 3 miles more than the number of miles he walked on Friday. 5 12 9 The variable is _____________. she can make 12 skirts from 9 yards of fabric. p = 1 \(\frac{1}{4}\) pizzas x = \(\frac{3}{10}\) \(\frac{4}{3}\) 5x = 10. x = _______. If her answer is incorrect, find the correct answer. Of these, 7,500 are field seats, and the rest are grandstand seats. 88.9 t = 22.1 n = 3/2 20 The lowest price on an MP3 song is $0.35. Explanation: Therefore the variable is a solution. Question 1. x = 9, Question 10. 2/3 n = 20 Is the planet Earth, Mars, or Jupiter? 6, 9.36 We understand that its challenging for teachers to find resources to support students in building an enduring understanding of mathematics. Substitute the values of a in the inequality Openly licensed images remain under the terms of their respective licenses. 1 2 0.85. We have included the advice of expert professionals to help the students for a better understanding of solving problems. Question 3. Explain how to find the value without solving the equation. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. x = 14.7/3.5 Type below: a = 91.5 Explanation: 8 \(\frac{2}{5}\) = d + 2\(\frac{2}{5}\) b. n 4 = 19 We recommend using a This height represents \(\frac{6}{7}\) of his brothers height. Question 6. The equation p 15.5 = 2.5 can be used to find the weight p, in pounds, of the turkey she bought last month. c = 85 Question 16. 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). s is a positive number. Substitute the value in the given equation. The mixed fraction of \(\frac{9}{8}\) is 1 \(\frac{1}{8}\) pounds. x = 16 Madeline has used 50 sheets of a roll of paper towels, which is \(\frac{5}{8}\) of the entire roll. Type below: 10c. How much does the heaviest puppy weigh? x = 8 Write an inequality representing t, the heights in inches of people who can go on Twirl & Whirl. c = \(\frac{1}{5}\) She bought 9 yards of fabric. Then tell what the solution means. \(\frac{w}{7}\) = 0.3 4t = 2.8 In Jaimes math class, 9 students chose soccer as their favorite sport. The shipping charge for an entire order is $5.50. d. 2 = m 15. Question 6. The inequality x 2 represents the elevation x of a certain object found at a dig site. So, the equation is n + 4.5 = 8.2, Question 4. 14c. 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. w = 56 + 36 Answer: 3 12 = 36 0 is greater than -1 c = 32.8/8 5 + 2.5 = 7 Question 12. Connect Symbols to Words Sonya was born in 1998. Given that, Estella buys 1.8 pounds of walnuts for a total of $5.04. The maximum capacity of the school auditorium is 420 people. 20 Type below: Type below: Answer: Shade to the right of 48 to show that values greater than or equal to 48 are solutions. Answer: 22 = 2 2 = 4 3s = 21 Answer: Tell what type of numbers the variable in the inequality can represent. c 1.5 The inequality h 10 represents the number of students h who must sign up. Help students become lifelong math learners. 1000 To solve the equation, get the x tile by itself on one side. Question 11. a = 125, Question 7. \(\frac{1}{2}\)c = 14 Area of rectangle is l w c > \(\frac{1}{4}\), c = \(\frac{1}{5}\) The equation \(\frac{6}{7}\)h = 4 can be used to find the height h, in feet, of Stus brother. Sophia took home \(\frac{2}{5}\) of the pizza that was left over from a party. Explanation: n The remaining titles will be three 1 tiles on the right sides. x = 10.01 The expression is 3x + 2(4y + x) _____________, Explanation: Explanation: y = 5.8 and 5.9 are the solutions because 5.8 and 5.9 greater than or equal to 5.8 , 14a. m = 6 + 2 + \(\frac{1}{2}\) + \(\frac{3}{4}\) _______ \(\frac{}{}\) inches of rain. 2 The mixed fraction of \(\frac{70}{63}\) is 1 \(\frac{1}{9}\) Type below: 17\(\frac{1}{2}\) 18 _____________. The solution is mean. Lesson 3 - Pen Pals - All of us are smarter than any of us. She solves the equation \(\frac{b}{8}\) = 56 and says that the solution is b = 7. k 0.3 t = \(\frac{}{}\), Explanation: 5 153.3 143.4 = p Let the equation be x + 4 = 13 The solution x is 1, Explanation: 7 1a. 14.7 = \(\frac{b}{7}\) Question 1. = Question 15. 4 3.2 h = 24 hours x = 4 p = 7 \(\frac{1}{2}\) Thus the two possible inequalities for k < 2 are 0 and 1. 1.75 > -1 The variable is _____________. 0.23 is less than 0.6 Question 9. How many pounds of cashews were in the bag that Bryce bought? Bowser ate 4 \(\frac{1}{2}\) pounds of dog food. ______ goals, Explanation: Type below: Therefore the cost of one pound of walnuts is $2.8, Question 2. The number is 30. Substitute the value in the given equation Two possible solutions for the inequality w 74 are _____ and _____. 15 = 15 After she deleted some of them, she had 23 photos left. Type below: 22.2 22 h represents the height of riders for the roller coaster. 36 p = \(\frac{5}{8}\) \(\frac{3}{2}\) Answer: Describe a situation and write an inequality to represent the situation. n = \(\frac{4}{5}\) \(\frac{2}{5}\) _____________. Type below: 4 is the number of friends Max worked on the project for 2 hours by himself. The value of r is 10.1, Question 14. Question 12. Type below: Stay tuned to our Go Math Answer Key to get the study materials of all grade 6 chapters. Question 5. A chef used 20 eggs to make 5 omelets. h 3 The shipping charge for an entire order is $5.50. 100, n 17 200, 4 Explanation: The equation is p 2, Question 6. l = 880 feet 13 The solution to the inequality must be whole numbers greater than -12 $ _______. x = 23 15 2 = 2 b = _______, Explanation: _____________. = A cars gas tank has a capacity of 16 gallons. 17 25 Question 16. cup 72 _____________. 8 \(\frac{15}{16}\) was the weight of the crackers originally in the box. Alice has played soccer for 8 more years than Sanjay has. Thus the variable is a solution. The variable is __________. Thus the variable is the solution. The inequality x 144 represents the possible scores x needed to pass a certain test. The two possible solutions for the inequality w 74 are 75 and 80. 14a. Write and solve an equation to find the price p in dollars of one gallon of gasoline. 17.9 + v = 35.8 A hybrid SUV uses 36 miles per gallon in the city. x = 30 Explanation: The equation will be 2.9 w = 1.6, Question 10. m = 4/2 = 2 Explanation: There are 20 apples in the display. Match the inequality to the word sentence it represents Question 2. Question 2. s < 0.43 Given, Then solve. w 71, Question 9. Write and solve an equation to find the amount of carbohydrates in each fluid ounce of the juice. In the United States, the minimum age required to run for president is 35. . Explanation: A childrens roller coaster is limited to riders whose height is at least 30 inches and at most 48 inches. The expression is the difference of 9 and 2 4 Shade to the right of 42 to show that values greater than or equal to 48 are solutions. This height represents \(\frac{6}{7}\) of his brothers height. Explanation: Explanation: 3. y 5.8 Therefore the total number of miles Andy drove on Monday is 77 miles. _____________, Answer: y 7.9 means y is greater than or equal to 7.9, Question 3. Thus the equation is c + $27 = $90 Substitute the value in the given equation She has already used it to buy a lamp for $39.99. _____________, Explanation: What is the solution of the equation that is modeled by the algebra tiles? t = 0.7, Question 4. Where can find the Big Ideas Math Textbook Answer Key for Grade K-12? Write and solve an equation to find Kimberlys balance at the beginning of July. e < 3 Use algebra tiles to model the equation. x + 88.74 = 120.62, Question 16. Jamie is making cookies for a bake sale. 75 Question 3. Salimah had 42 photos on her phone. _____________, Explanation: Type below: _____________, Answer: Given that, \(p+2 \frac{1}{2}=5\) 2 Web Resources. \(\frac{3}{5}\) > -1 Mr. Charles needs to have at least 10 students sign up for homework help in order to use the computer lab. u > \(\frac{-1}{2}\), u = 0 Part B \(\frac{1}{2}\) 28 = 14 n + 5 = 15; n = 5 ii. Determine whether a = 18, a = 17\(\frac{1}{2}\), and a = 91.5 are solutions of the inequality, and tell what the solutions mean. He says that he can use the equation m 313 = 560 to find the number of miles m he has left on his trip. Use numbers and words to support your answer Write an equation that can be used to find the height h in meters of the Eiffel Tower. Write an expression that is equivalent to 5(3x + 2z). 1b. 11 Question 5. The equation to find one pound of walnuts cost is 1.8p = 5.04 CreateSpace Independent Publishing Platform (January 1, 2014) 3. t = 5 _____________, Answer: 23 k represents race length in kilometers. 250 Model x + 8 in the left rectangle, and model 10 in the right rectangle. Franks team attempted 23 goals. 7\(\frac{1}{2}\) < 1\(\frac{1}{2}\). The given equation is 23 = x 12 Type below: , Model x + 5 in the left rectangle, and model 10 in the right rectangle. Betty needs \(\frac{3}{4}\) of a yard of fabric to make a skirt. g = 0 In one month, he rode the bus 24 times. A = 12 96 There are three x tiles on the left side of your model. The given equation is p = 5 + 2 \(\frac{1}{2}\) f = 1 The equation \(\frac{3}{10}\)d = 3 can be used to find the total distance d of the race in kilometers. _____________. Katie Martin, lead secondary math teacher, New Hanover County Schools, NC, All products and services are offered throughout the United States. The given equation is 62 _____________, Answer: _____________, Question 3. The greatest weight is 23 pups so all of the weights are less than or equal to 23 pups. l 12.5 = 48.6 Question 12. 10a. Explanation: p + 2 \(\frac{1}{2}\) = 5 m < 15 p 4 < 0 Log in Join. The table shows ticket and popcorn prices at five movie theater chains. Type below: The variable is _____________. , w = 36.5 For numbers 1a1c, choose Yes or No to indicate whether the given value of the variable is a solution of the equation. A childrens roller coaster is limited to riders whose height is at least 30 inches and at most 48 inches. At the end of the first round in a quiz show, Jeremy has at most 20 points. Answer: Thus the variable is not a solution. Which one has p = 2 \(\frac{1}{2}\) as its solution? The inequality symbol for greater than or equal to is . 32 Sophia took home \(\frac{2}{5}\) of the pizza that was left over from a party. Explanation: n Write your answer as a mixed number or a whole number, when possible. Find her error. The equation \(\frac{3}{8}\)s = 9 can be used to find the total number of students s in Jaimes class. n = 23 395 To solve the equation by using the model, you need to find the value of one x tile. ________ feet. Question 3. The equation to find out how many checkers Karen has left is c + 7 = 9. ______. ________ kilometers. 1 is greater than but not equal to -2 n = \(\frac{20}{18}\) \(\frac{3}{5}\) 1 \(\frac{2}{3}\) Gabriel wants to solve the equation \(\frac{5}{8}\)m = 25. x = 24/2 = 12 \(\frac{2}{10}\) d = 3 b. w = \(\frac{9}{8}\) 15g = 135 2.60 Therefore the sales tax is $1.72 dollars. Lets use diagrams to help us rewrite quadratic expressions. Use algebra tiles to model the equation. Use algebra tiles to model the equation. 41 Then tell what the solution means. Explanation: Use numbers and words to explain how this model can be used to solve the equation x + 5 = 12. 1 Describe the meaning of y 7.9 in words. s > 1 3 Explanation: Type below: The equation \(\frac{2}{3}\)w = \(\frac{3}{4}\) can be used to estimate the weight w in pounds of the blueberries when the basket is full. For the first time, curriculum, assessments, and technology to differentiate instruction live in a centralized hub. The temperature dropped 8 degrees between 6:00 p.m. and midnight. Question 9. Mark all that apply. Thus there are 7 students in each van. 1b. Type below: Use algebra tiles to model the equation. Question 11. a. 32 = 3.2c ________ F, Explanation: What is the capacity of the tank in pints? What do you need to find? The number of countries that competed in the 1896 summer Olympic games is 14. Thus the scientists remove 216 cubic feet of soil. He served \(\frac{7}{8}\) pound of cashews at a party. The answer is no. Question 2. EdReports is an independent nonprofit that reviews K-12 . Model x + 1 in the left rectangle, and model 9 in the right rectangle. Grow through a daily set of highly focused practice questions present on Go Math Grade 6 Chapter 8 Solution Key. Therefore p = 7 is a solution for the equation. Give a number that is a solution and another number that is not a solution of the inequality. c represents the cost in dollars of the earrings. St. Clair College. In a basket of fruit, \(\frac{5}{6}\) of the pieces of fruit are apples. 6 Type below: \(\frac{3}{4}\)w = 9 p = 28 or Explanation: _____. Franks hockey team attempted 15 more goals than Spencers team. 3c = 24, Question 5. 3 s = 72 50, 51, 54, 58, 61, 61, 62, 62, 66, 68, 69, 71 100 Not a solution, Question 11. Thus the answer is yes. \(\frac{1}{10}\) = \(\frac{1}{10}\) x = 1.6/1.6 414 Use mental math to find the solution to 4x = 36. Whats the Error? Type below: The chart shows their results. Given p = 4 -3 -6 449, Problem Solving + Applications Page No. Question 1. 3x = 36 Use algebra tiles to model the equation. The solution is 12. Use your definition to make a table of values for and find . Question 12. Question 7. Lesson 7 - More Soft Serve - Tell me about a different world. Question 4. 70 10 = 7 ounces. \(\frac{3}{4}\) is greater than \(\frac{2}{3}\) n + 12 = 75 463, Problem Solving + Applications Page No. 25 21 Sample response : Scatter plots are best when looking for an overall pattern ( or lack of one ) . Possible answer: Claire is making 4 placemats. number of apples weight of apples (grams) 2 511 5 1200 8 2016 Estimate the weight of 6 apples. 44 is only the larger number in cases where the percent is greater than 100%. 100 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, Substitute the solutions in the inequality. = \(\frac{70}{63}\) x = 27/3 The least weight is 50 pounds, so all of the weights are greater than or equal to 50 pounds. Model x + 4 in the left rectangle, and model 5 in the right rectangle. 12 The phrase times indicates multiplication operation. The bar graph shows the number of countries that competed in the first four modern Olympic Games. Solve the equation 6p = 18 to find the number of singers in each group. Use words and numbers to support your answer. Mark all that apply.