5 f = 120 x = 50/5 = 4 The given equation is k = 0 and 1 because they are less than 2. Type below: Type below: Go Math Grade 6 Answer Key Chapter 8 Solutions of Equations 3x + 2 4y + 2 x she can make 12 skirts from 9 yards of fabric. _____________. 1 Thus the variable is a solution. Solve the equation x + 2 = 6 to find out how many hours Gabriella worked on the project. s 1, s = 1 z 2 \(\frac{3}{5}\) y = 5 4 The solution is f = 4 18 = \(\frac{2}{3}\)h; h= 12 Explanation: Use algebra tiles to model the equation. x + 15 = 23 Remove five 1 tiles on the left side and five 1 tiles on the right side. Answer: ________ kilometers. y < 7.8, y = 8 The variable is _____________. CreateSpace Independent Publishing Platform (January 1, 2014) 3. SAT PREP. n = 23 _____________ x = 72/4 To solve the equation by using the model, you need to find the value of one x tile. x = 1 \(\frac{3}{4}\), Question 11. 92, 6 25 = \(\frac{a}{5}\) The answers are created by subject matter experts. To solve the equation by using the model, you need to find the value of one x tile. This was \(\frac{3}{7}\) of the total number of miles he drove on Monday. The equation \(\frac{3}{4}\)w = 9 can be used to find the weight w in ounces of the heaviest puppy. Therefore the cost of one pound of walnuts is $2.8, Question 2. Question 11. 3 The number of countries that competed in the 1900 summer Olympic games is 24. The equation 21.50 + t = 23.22 can be used to find the amount of sales tax t in dollars. I can rewrite quadratic expressions in different forms by using an area diagram or the distributive property. The distance from third base to home plate is 88.9 feet. Answer: Edwards statement makes sense because all of the popcorn prices in the table are greater than or equal to $4.00. Substitute the value in the given equation Carlos walked 2 miles on Monday and 5 miles on Saturday. n = 45, Question 5. 2x = 24 5x = 70 Substitute the solution c in the inequality. Solve the equation. The giraffe has lived at the zoo 4 years longer than the mountain lion. 90 x = 3 463, Problem Solving + Applications Page No. Thus the two possible inequalities for k < 2 are 0 and 1. a = 17\(\frac{1}{2}\) Question 2. 6 6 6 = 216 w = 86.4 414, n _____________ 24 (8 2) So far, he has saved $56. k = 1 y = 2.9, Question 4. The inequality symbol for less than or equal to is . Question 12. 19 = 19 Salimah had 42 photos on her phone. Therefore the sales tax is $1.72 dollars. %, The variable is _____________. Privacy Policy | Accessibility Information. 100, 340 41% 2.60 g = 2\(\frac{1}{2}\) 5 f = 20 6 The inequality is b 44. m represents the number of minutes of reading. 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. Question 4. x = 3 Miranda bought a $7-movie ticket and popcorn for a total of $10. 3.18 lb, 4 lb, 3.2 lb, 3.4 lb, 3.15 lb Illustrative Mathematics Algebra 2, Unit 1.6 Preparation - Teachers What if Connors distance of 3 kilometers represented only \(\frac{2}{10}\) of the total distance of the race. 6 Explanation: 1134 days since Spring Break!! s = 1.75 Type below: 12 _____________, Answer: Explanation: -2 2 The equation for the product of 5 and the difference of 12 and 9 0 is greater than -1 The inequality symbol for greater than or equal to is . The variable is the solution. t + 2.5 = 7 The equation a + 56 = 128 can be used to find the amount a in dollars that Aaron still needs to save. _____________, Question 7. Substitute d = 3 \(\frac{3}{4}\) Type below: = A childrens roller coaster is limited to riders whose height is at least 30 inches and at most 48 inches. The remaining titles will be three 1 tiles on the right sides. Remove eight 1 tile on the left side and eight 1 tile on the right side. Write an expression in the simplest form that represents the perimeter of the triangle. Type below: Bryce bought a bag of cashews. c = 430 345 Remove one 1 tiles on the left side and one 1 tiles on the right side. _____________. 100, 32 Using substitution, the coach determines that Romeo needed to run _____________ feet to get to home plate. This book includes public domain images or openly licensed images that are copyrighted by their respective owners. 23 b = 14.7 7 4 _____________, Answer: 72 feet = 72 1/3 = 24 yards _____________. Answer: 454, Solve Multiplication and Division Equations Page No. 146 UNIT 6 LESSON 9 Mixed Practice . Remove six 1 tiles on the left side and six 1 tiles on the right side. The solution is p = 28. 468, Problem Solving + Applications Page No. Thus the value of x is 36. Type below: a = 72 60 20% 14.7 8.7 = 6 Type below: Thus the 2 solutions are 0 and -5. Number of historical books = 70 then you must include on every digital page view the following attribution: Use the information below to generate a citation. Question 12. _____________, Answer: The variable is not the solution. \(\frac{1}{5}\) is greater than \(\frac{1}{4}\) The phrase more than indicates addition operation. Desmos Activity Student answer key - Copy.pdf - | Course Hero m = 9 \(\frac{1}{4}\), Question 10. 9 = \(\frac{3}{4}\)e; e = 12 Franks hockey team attempted 15 more goals than Spencers team. t is a negative number. Thus the variable is a solution. Type below: Syllabus/Course Information. Explanation: Remove 1 tile on the left side and 1 tile on the right side. Franks hockey team attempted 15 more goals than Spencers team. 1 2. _____________, Question 2. f = 1 3 + 17 = 21 How many pounds of dog food were originally in the bag? 161, 8 Inequality is a statement that two quantities are not equal. The equation that could be used to find the number of gallons the tank holds is Pls show all the equations u do for and pls it's supposed to be a hoppy something like playing soccer or swimming or playing volleyball or anything to a hoppy and pls share the link w me thank u sooo, please help me with this chart thank you. Next, write an inequality to describe the weights by using the least weight on the list. Type below: t = 5 35.8 = 35.8 _____________. n + 5 = 15; n = 5 There are five x tiles on the left side of your model. How much did the sandals cost? Type below: Write and solve an addition equation to find the number of miles Carlos walked on Friday Unit 6, Lesson 2 Practice Problems 1. 17 Get the solutions for homework problems, Mid Chapter, and Review here. 100 Thus the inequality is J -20, Question 2. n Explanation: 18 + p = 25 3 c = 4.1 grams, Question 12. _____________, Explanation: 12 b. n 4 = 19 5 \(\frac{1}{4}\) = 5 \(\frac{1}{4}\) Substitute the value in the given equation. Thus 0 is not the solution. d = 104.4 99.2 If you are redistributing all or part of this book in a print format, She bought 9 yards of fabric. b < \(\frac{1}{2}\) Type below: The inequality symbol for greater than is >. 504 = 28g, Question 14. Type below: Thus the equation is 8 + c = 24. Match the inequality with the word sentence it represents. -1 3 2.3 of m is 0.46, Question 7. r = \(\frac{3}{4}\) \(\frac{10}{3}\) 3 In a basket of fruit, \(\frac{5}{6}\) of the pieces of fruit are apples. So, no. Big Ideas Math Answers for Grade K, 1, 2, 3, 4, 5, 6, 7, 8, Algebra 1 How long has Sanjay played soccer? Which years in this period of time had, 3. To solve the equation by using the model, you need to find the value of one x tile. 100, 13 A dog sled race is 25 miles long. Type below: How much does the heaviest puppy weigh? What is the solution of the equation 8.7 + n = 15.1? Match each scenario with the equation that can be used to solve it. Remove 5 squares from each side. = x = 5 \(\frac{1}{2}\) 3 \(\frac{3}{4}\) Explanation: \(\frac{1}{3}\)n = 15 Answer: Thus the variable is a solution. Lesson 4.3 - Transformations.pdf. The equation 7 + x = 10 can be used to find the cost x in dollars of the popcorn. \(b-\frac{1}{4}=3 \frac{1}{2}\) s = 1 Sheena received a gift card for $50. h = 4 \(\frac{2}{3}\) feet The equation \(\frac{5}{8}\)k = 25 She bought 9 yards of fabric. 8 \(\frac{2}{5}\) = d + 2\(\frac{2}{5}\) Explanation: 64 ounces + 6 ounces = 70 ounces k \(\frac{3}{5}\) = \(\frac{1}{10}\) Describe the graph of g < 0.6. Explain how to check if your solution to an equation is correct. b = _______ \(\frac{}{}\), Explanation: 3 3 He served \(\frac{7}{8}\) pound of cashews at a party. The equation is 7 + x = 12 The given equation is = m = 23.2 The phrase greater than or equal to represents The product of 2.3 and m is 0.46 The amount of soil in cubic feet that they remove is equal to 6. 16 + 23 = 39 The equation is 119.2 + h = 443.2, Question 1. 8 + (27 9)2? Substitute the values of a in the inequality Question 4. t = \(\frac{}{}\), Explanation: 3.5x = 14.7 = 10c, Question 6. ar least 30 inches means h must be greater than or equal to 30 inches. t + 2.5 = 7 Already using IM, but want to learn more? Type below: Tina bought a t-shirt and sandals. 14 = 17 3 Write and solve an equation to find the amount of carbohydrates in each fluid ounce of the juice. 4 Thus the variable is a solution. ______ students. n + 5 = 15; n = 5 Type below: t < 4 is t is less than 4 which means t is equal to 3, 2, or 1 or 0. Thus the variable is a solution. Connor ran 3 kilometers in a relay race. 3 Illustrative Mathematics Algebra 2, Unit 1.8 Preparation - Teachers Type below: _____________. \(\frac{2}{5}\) w = 40 Type below: Grounded in best practices for effective mathematics education: Our programs are rooted in well-respected pedagogy and methodology to form a rigorous, standards-aligned curriculum. Type below: %, 16 62 p = 2 \(\frac{1}{2}\) 2 Answer: = t + 2.5 = 7 The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds. Content on this page is licensed. ______ yards. Type below: Model x + 1 in the left rectangle, and model 9 in the right rectangle. His distance represents \(\frac{3}{10}\) of the total distance of the race. p = 153.3 143.4 The equation 12x = 96 gives the number of egg cartons x needed to package 96 eggs. Let n represents the unknown number. Type below: Madeline has used 50 sheets of a roll of paper towels, which is \(\frac{5}{8}\) of the entire roll. x = 22.5 + 7.5 Katie Martin, lead secondary math teacher, New Hanover County Schools, NC, All products and services are offered throughout the United States. 17 2 = 15 w = \(\frac{9}{8}\) A city received \(\frac{3}{4}\) inch of rain on July 31. Digitize Assets. The inequality is p < 0 11 Write an equation that can be used to find the number of pages of articles in the magazine. Type below: b < 2 \(\frac{3}{4}\), b = \(\frac{2}{3}\) Part A Explanation: e < 3 Question 4. The shipping charge for an entire order is $5.50. t = \(\frac{3}{5}\) \(\frac{3}{2}\) Question 8. Then tell what the solution means. How much rain did the city receive in July? x = 12 7 40 = Jaspar has 7 more checkers left than Karen does. 100 1.75 < 0.43 7 + 12 = 29 n + 12 = 75 Question 15. Number of calories in 4 ounces of pineapple juice = 140/8 4 =70 calories y = 12 8 39 Use algebra tiles to model the equation. The solution is 128. The minimum wind speed for a storm to be considered a hurricane is 74 miles per hour. Frank orders d DVDs. The solution p is 3. By seeing the above table we can say that the equation is 4x = 72 Type below: w 71, Question 9. The inequality w 74 represents the possible wind speeds of a hurricane. Where can find the Big Ideas Math Textbook Answer Key for Grade K-12? i. Use Math Vocabulary Explain why the statement t > 13 is an inequality. Answer: Thus the answer is yes. The given equation is 23 h = 12 The difference of five times a number and four = 5n 4, Question 1. Thus the expression is y 5. _____________. 110 25, 3.5 x = 8 goals, Question 6. Substitute the value in the given equation. 2.8 = 4t 5 Illustrative Mathematics Algebra 1, Unit 4 - Teachers | IM Demo _____________. Therefore the variable is not a solution. The inequality w 3.2 represents the weight of each pumpkin, in pounds, that is allowed to be picked to be sold. _____________, Explanation: The equation 18 + p = 25 can be used to find the number of points p that Terrance still needs to score. A team of biologists weighed the female sea otters in one raft off the coast of Alaska. The equation used to find the totals number of books in the library collection. _____________, The table shows the height requirements for rides at an amusement park. Use a model. _____________, Question 6. p = 6 pounds The equation 7s = 21 can be used to find the number of snakes s in each cage at a zoo. The equation will be 2p + 5. The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo Answer: _____________, Explanation: ii. 100, 90 _____________ The maximum capacity of the school auditorium is 420 people Explanation: Explanation: Wk. k = \(\frac{7}{10}\) The total cost is $7.56. s = 55 55 Question 15. _____________. Lesson Narrative In this lesson, students contrast visual patterns that show quadratic relationships with those that show linear and exponential relationships. 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. 48 Explanation: The variable is __________. 48 This amount represents \(\frac{3}{8}\) of the entire class. The given equation is 60 70 17\(\frac{1}{2}\) is less than 18. 84 is the total amount of grapes the equation is y + 8 = 12 Use algebra tiles to model the equation. \(\frac{2}{10}\) d = 3 The variable is __________. Type below: 9 can someone help me use the graphing calculator www.desmos.com to make a animated design . Question 10. My students mathematical thinking blows my mind! Type below: x = y + z, Question 16. 6 Type below: The expression will be 5.70 is the product of 3 and a. Explanation: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Express the number of students as a single-digit integer times a power of 10. x 12 = 23 Give two possible scores that Jared could earn to get the A. _____________. IM K12 Math gives you exclusive access to engaging content and professional learning and to an inclusive community. Question 6. a 18 The equation to find one pound of walnuts cost is 1.8p = 5.04 Write and solve an equation to find the number of video games Scott played. x + 88.74 = 120.62, Question 16. x = 35 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. \(\frac{1}{2}\)y = \(\frac{1}{10}\) 89 Type below: 13 Type below: \(\frac{7}{10}\) \(\frac{6}{10}\) = \(\frac{1}{10}\) 436, Model and Solve Addition Equations Page No. A stadium has a total of 18,000 seats. %, Question 4. = , 11 Case Problem 1-Ch. Share with Teachers. \(\frac{x}{3}\) = 4 A passengers age a must be more than 4 years. Answer: Division operation is needed to write the equation to know how many x skirts she can make from 9 yards of fabric. Remove four 1 tiles on the left side and four 1 tiles on the right side. \(\frac{t}{4}\) = 16 Therefore the amount of water Jan used to wash clothes is 30 gallons. Because the dark circle shows that it is not the solution. Solve the equation, and check the solution. She triples the recipe in order to have enough cookies to sell. Part A h = 2 Feb 9, 2022 OpenStax. . 4 > 3.2 Question 4. 100, n Three friends are sharing the cost of a bucket of popcorn. 0.85 6 l = 5280 feet Draw 2 rectangles on your Mathboard to represent the two sides of the equation. _____________. i.e., h 30 inches y = _______, Explanation: Question 4. Explanation: This is 20% of the price of the lawn mower. The table shows the number of assists and number of points for. n 13 = 2; n = 15 Two-thirds of a number is equal to 20. Question 6. a. Han has 10 cubes, each 5 inches on a side. 100, 62 = 4 3.2 Write an equation that can be used to find out how much flour f is needed for one batch of cookies. Determine whether s = 32 or s = 80 is a solution of the equation, and tell what the solution means. k 2 Name: Date: MHF4U - Desmos Animated Design 20 marks Use functions from your desmos design to complete the summary table below. Unit 2, Lesson 15, Practice Problem 3. Substitute the value in the given equation y = \(\frac{1}{5}\), Question 6. Type below: Now write an inequality to describe the number of pups by using the greatest weights in the list. Eight more than the number of children is 24. 3/3 = 1 The variable is __________. Therefore s = 10.7 is a solution to the equation. \(\frac{3}{10}\)r = \(\frac{3}{4}\) A coyote can run at a speed of 11 miles for 15 minutes. Question 7. Question 9. Question 2. 260 Substitute the solution d in the inequality. The average speed of 30 kilometers per hour is 1 \(\frac{1}{3}\) hours. s = \(\frac{3}{5}\) The marking period is 45 school days long. There are 24 pieces of friut in the basket. _____________, Question 4. 3, 3 _____________, Explanation: Type below: Question 8. Choose the best term from the box to complete the sentence. The elevation e is greater than or equal to 15 meters. What was the weight of the crackers originally in the box? The heaviest puppy weighs 12 ounces. \(\frac{w}{7}\) = 0.3 The Hawks beat the Tigers by 5 points in a football game. s < 0.43 The variable is not a solution. 0.85. \(\frac{2}{3}\) 6 He sold 2 of them at a craft fair. The rectangle is by itself on the left and 7 squares are on the right side. Answer: a + 2.4 = 7.8 Write and solve an addition equation to find out how many checkers Karen has left. d. 12 = n 11 Type below: 8 The height h is greater than 2.5 meters Question 12. The equation is 6w = 14.4 _____________, Explanation: Answer: What was the cost of the coat? Write an equation that can be used to find out how many grapes g each friend will get if each friend gets the same number of grapes. How many pizzas were left over? The solution to the inequality must be whole numbers greater than or equal to 5.8 \(\frac{2}{3}\) < 2 \(\frac{3}{4}\) Is Gabrielas statement sense or nonsense? 52 6 41 m + 2.5 = 4.6; m = 2.9 Write an equation that can be used to find the cost c in dollars of the earrings. So, the solution is x = 7. Graph the solutions of the inequality on the number line. _____________, Answer: b = 3 + \(\frac{1}{4}\) + \(\frac{1}{2}\) x = 10 7 100 1 gallon = 8 pints The variable is _____________. Write an expression that is equivalent to 10c. The remaining titles will be five 1 tiles on the right sides. What information do you need from the bank statement? 1 The equation is 5x = 20 Ana bought a 15.5-pound turkey at the grocery store this month. ________ students. b = \(\frac{2}{3}\) _____________. b. m 2 = 15 Substitute n = 5 w = 40 5/2 10a. 100, 17 So, 1 ounce of the mixture has 120/8 = 15 calories. PDF Show your work. - Weebly The temperature at 10:00 was 10F. Therefore the variable is a solution. 100, 32 Question 1. s 1 \(\frac{2}{3}\) e. Write Kimberlys balance at the beginning of July. p = _______. n = \(\frac{20}{18}\) Thus the variable is a solution. _____________. Lesson 9 - Bicycle Goals - All of us are smarter than any of us. Sea otters often float together in groups called rafts. 4 is not less than 0 Estella buys 1.8 pounds of walnuts for a total of $5.04. Answer: The conversion factor is 10; so 1 centigram = 10 milligrams. A number that is a solution is 55 and a number that is not a solution is 29. n + \(\frac{2}{5}=\frac{4}{5}\) Explanation: \(\frac{w}{7}\) = 0.3 e. 11 Describe Jasons error, and give the correct solution. Thus the answer is yes. Model x + 2 in the left rectangle, and model 5 in the right rectangle. Explanation: = b is less than \(\frac{1}{2}\), Question 4. 100, n He says that he can use the equation m 313 = 560 to find the number of miles m he has left on his trip. Which pumpkins can be sold? t = 0.7, Question 4. Thus the solution of the equation is 5. n Model x + 4 in the left rectangle, and model 5 in the right rectangle. 10 = 10 A team of scientists is digging for fossils. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Gary knows that p = 2 \(\frac{1}{2}\) is a solution to one of the following equations. 3 m = 33 7 The solution to the inequality must be whole numbers less than 3. In this unit, students learn about populations and study variables associated with a population. 25 = \(\frac{a}{5}\) 11 In other words, the value in cg multiplies by 10 to get a value in mg. Answer: Let c represents the amount of carbohydrates in each fluid ounce of the juice Explanation: n Julia evaluated the expression 33 + 20 22. 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. x = 6 3 1000, 3 Thus the 2 solutions are 1 and 2. 1.6x = 1.6 Evaluate the right-hand side expression at the given value to get a number. 36 Miranda had 4 pounds, 6 ounces of clay. b = 700 _____________, Answer: y 7.9 means y is greater than or equal to 7.9, Question 3. 15 15 = 30 The variable is a solution. The variable is __________. Therefore the variable is a solution. Label the axes of the scatter plot with the necessary information. m = 40 16.8 There are 20 apples in the display. 8 7 Question 12. 20 = 20 2.3m = 0.46 45 _____________, Question 5. Question 6. 10d. Explanation: b = 70 10 d. 10 Explanation: So, to get the best way of learning must refer to Go Math 6th grade 8th Chapter Solutions of Equations Answer Key. Answer: _____________, Explanation: Explanation: \(\frac{a}{14}\) = 6.8 She solves the equation \(\frac{b}{8}\) = 56 and says that the solution is b = 7. 13. Bowser ate 4 \(\frac{1}{2}\) pounds of dog food. Sense or Nonsense? 4 60 , Tony should have written m + 313 = 560, Question 17. 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 a short paragraph explaining to a new student how to write an inequality. Max worked on the project for 2 hours by himself. \(\frac{6 w}{6}\) = 6 14.4 The equation is 10 n = 120, Question 4. 9 4 \(\frac{3}{4}\) = 5 \(\frac{1}{4}\) 18 The variable is __________. 3 s = 72 _____________. When Pete had a fever, his temperature was 101.4F. w is a positive number. In the equation t + 2.5 = 7, determine whether t = 4.5, t = 5, or t = 5.5 is a solution of the equation. Type below: Type below: 47 x + 12 = 29 The given equation is Question 8. d = 8 2 = 6 What is the number? _____________, Answer: , The variable is _____________. She divides the clay into 6 equal pieces. Type below: Question 11. 6 d + 2\(\frac{2}{5}\) = 8 \(\frac{2}{5}\) A city received \(\frac{3}{4}\) inch of rain on July 31. Type below: The given equation is Question 15. The equation is 18 = 4.5n, Question 2. _____________. The length of a day on Saturn is 14 hours less than a day on Mars. The total cost was $41.50. A choir is made up of 6 vocal groups. In a word sentence, a variable represents a number.
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