Connect Symbols and Words The length of a day on Saturn is 14 hours less than a day on Mars. In a basket of fruit, \(\frac{5}{6}\) of the pieces of fruit are apples. Graph your inequality from Exercise 12. z \(\frac{1}{3}=1 \frac{2}{3}\) Model 3x in the left rectangle, and model 12 in the right rectangle. x + 88.74 = 120.62 For the first time, curriculum, assessments, and technology to differentiate instruction live in a centralized hub. The greatest weight is 23 pups so all of the weights are less than or equal to 23 pups. The equation is 119.2 + h = 443.2, Question 1. To solve an equation, model the terms of the equation on both sides of an equals sign. The variable is a solution. The variable is __________. So, 1 ounce of the mixture has 120/8 = 15 calories. p = 28 l = 880 feet You need to be at least 38 inches tall to go on River Rapids and at least 44 inches tall to go on Mighty mountain. q = 0.23 Model 2x in the left rectangle, and model 8 in the right rectangle. Write the inequality represented by the graph. x = 3 4 = 12 Thus the value of d is 6. Question 10. Each placemat uses __3 8 110 8 Roger served \(\frac{5}{8}\) pound of crackers, which was \(\frac{2}{3}\) Solve the equation \(\frac{3}{7}\)m = 33 to find the total number of miles Andy drove on Monday. r = 10.1 Answer: Question 3. 18 + p = 25 Substitute the value in the given equation The phrase times indicates the multiplication operation. 89 15.5 y = 7.9 The given equation is Let n represents the unknown number. Type below: Ms. McNeil buys 2.4 gallons of gasoline. Type below: So, no. = Where y is the deposit 1 and z represents the deposit 2. Web Resources. 8 is less than 7.8 What value should she get as her answer? 6 All Big Ideas Math Grade K-12 Textbook Answers are designed by highly experienced subject expertise as per the common core 2019 curriculum. Write an inequality for the situation. Type below: The equation is x + 3 = 15 Launch Curriculum. x = 18, Question 12. p = 6 pounds Aaron wants to buy a bicycle that costs $128. _____________. Type below: 18 Substitute the solution c in the inequality. 14 + m = 52 96 The bar graph shows the number of countries that competed in the first four modern Olympic Games. 135 Question 2. 50, 51, 54, 58, 61, 61, 62, 62, 66, 68, 69, 71 Explanation: k = \(\frac{7}{10}\) Question 6. 2 + p = 2 \(\frac{1}{2}\) Type below: Antonio ran a total of 9 miles in two days. 1b. 4x = 60 Draw 2 rectangles on your MathBoard to represent the two sides of the equation. Illustrative Mathematics | K-12 Math | Resources for Teachers & Students Solve the equation to find the total number of books in the librarys collection. Type below: The inequality is u > \(\frac{-1}{2}\) Edward says that inequality d 4.00 represents the popcorn prices in the table, where d is the price of popcorn in dollars. Ready Mathematics Practice and Problem Solving Grade 8 He travels 313 miles the first day. 16 + 23 = 39 Thus the expression is y 5. i. Question 15. p = 18 So, the equation is n + 4.5 = 8.2, Question 4. Review and tutorial. 5 5 = 25 For numbers 10a10d, choose Yes or No to indicate whether the equation has the solution x = 12. Question 5. 1 \(\frac{1}{2}\) 2 3x = 36 A cars gas tank has a capacity of 16 gallons. w 71, Question 9. Type below: p = 5 2 \(\frac{1}{2}\) Substitute the value of x and y in the equation. _____________. 6th Grade Unit 6 - Google Docs Question 4. y 3, y = 1 If you keep practicing you will never end to love the maths. See the image attribution section for more information. Type below: The equation x + 21 = 45 can be used to find the number of days x left in the marking period. y < 7.8, y = 8 The variable is _____________. Use algebra tiles to model the equation. The maximum number of players allowed on a lacrosse team is 23. Question 1. c. 25 = n 2 10b. or Solve the equation 2x = 24 to find the number of days Bryan worked at the library. f 5 \(\frac{5}{6}\)f = 20 Using substitution, Rachel determines there are 24 days left in the marking period. m + 16.8 = 40 18 Shade to the right of 42 to show that values greater than or equal to 48 are solutions. Thus the answer is no. 5 m = 200 Explanation: Type below: 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: Unit 2, Lesson 15, Practice Problem 3. Type below: b = 102.9, Question 10. 15.4 14 Use algebra tiles to model the equation. k = 200/5 = 40 Thus the 2 solutions are 0 and -5. Include Practice exercises for all mathematical concepts to improve your problem-solving skills. Four friends are sharing the grapes. For numbers 1a1c, choose Yes or No to indicate whether the given value of the variable is a solution of the equation. The number of miles he walked on those two days is 3 miles more than the number of miles he walked on Friday. = 10c. Write and solve an equation to find the temperature at 6:00 p.m. The number near to 10 is 10 and 11 Two-thirds of a number is equal to 20. Type below: p = 7 \(\frac{1}{2}\) 36 Thus the inequality is a > 4. g = 4 g = 7\(\frac{1}{2}\) g = 0 g = 2\(\frac{1}{2}\) n + 35 = 80 Given that w is greater than or equal to 74. Lesson 7 - More Soft Serve - Tell me about a different world. Grade 8 - RUSD Math 105 t = 64, Question 12. w > 4, where w is the width in centimeters. p = 153.3 143.4 15 100 Let n represents the unknown number. iii. h 3 Question 11. At top speed, a coyote can run at a speed of 44 miles per hour. g = 2\(\frac{1}{2}\) Substitute the value in the given equation. Explanation: x + 6 = 35 Type below: To do this, divide each side of your model into five equal groups. x = ________, The equation is x + 6 = 7 The price of one gallon of gasoline is $3.15, Question 16. t 6 d. 2 = m 15 The number line at right shows the solutions of the inequality x -2, Question 2. 4 Math 6 Lesson Previews Learn Desmos Illustrative Mathematics Algebra 2, Unit 1.6 Preparation - Teachers Thus the solution of the variable t is \(\frac{9}{10}\), Question 10. Type below: That amount is \(\frac{3}{4}\) of the entire bag of dog food. Answer: Question 7. Big Ideas Math Answers for Grade K, 1, 2, 3, 4, 5, 6, 7, 8, Algebra 1 Model 5x in the left rectangle, and model 10 in the right rectangle. _____________, Question 8. 10a. EdReports, a highly-regarded independent nonprofit that . \(\frac{2}{5}\) 25=10 4 15 = 60 40 15 = 15 His distance represents \(\frac{3}{10}\) of the total distance of the race. Use algebra tiles to model the equation. Remove two 1 tiles on the left side and two 1 tiles on the right side. The equation 39.99 + x = 50 Question 7. The curriculum facilitates productive struggle for our learners, and teachers have been excited to shift their instruction from being the sage on the stage to the guide on the side., Corrine Williams, secondary math specialist, Evergreen Public Schools, WA. \(\frac{1}{3}\) 2 = 6 Therefore the value of y is 1 \(\frac{1}{4}\). 14.7 8.7 = 6 25 Substitute the value in the given equation z = -3 and -2 because -3 and -2 are greater than or equal to -3 2m = 4 Franks team attempted 23 goals. The equation \(\frac{1}{10}\)b = 70 can be used to find out how many books the library has. A pet store usually keeps 12 birds per cage, and there are 7 birds in the cage now. k \(\frac{3}{5}\) = \(\frac{1}{10}\) Thus the equation is c + $27 = $90 The variable is _____________. Thus the solution is \(\frac{2}{5}\), Explanation: What does one pound of walnuts cost? What is the value of 8 + (27 9)2? Stu is 4 feet tall. She divides the clay into 6 equal pieces. Thus the variable is not a solution. _____________. What was the cost of the coat? Explanation: 3.2 3.2 Thus the variable is a solution. c = 20/5 = 4 y 14 = 23 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. l 12.5 = 48.6 In a word sentence, a variable represents a number. 3x + 19 Write and solve an equation to find the number of pages Naomi will need. Question 8. The cost of each ticket is $4. _____________. 5-Go Go Sports Instructions.xlsx. 5 f = 20 6 Given, In a serving of 8 fluid ounces of pomegranate juice, there are 32.8 grams of carbohydrates. Thus the area of the rectangle is 1152 square feet. Type below: Already using IM, but want to learn more? Ms. McNeil buys 2.4 gallons of gasoline. Write an inequality that means at most 20. Expert authoring team: Read more about the educators and mathematicians who developed our curricula and professional learning: K-5, 6-8, 9-12. 35.8 = 35.8 Answer: Substitute the solution x in the inequality. MTH 321. w = 14.4/6 1 Tina bought a t-shirt and sandals. The variable is a solution. 100 Darius said that 25 is not part of the solution of the inequality. Question 1. a. \(\frac{3}{4}\)x = \(\frac{3}{10}\) y = \(\frac{1}{2}\) + \(\frac{3}{4}\) Question 5. From the above table, we can see that there is the only theatre with 8.00 and 4.75 c = 28 w = ________, Explanation: Substitute p = 7 in the above equation. n = \(\frac{21}{16}\) x = 9, Question 10. Explanation: Explanation: h = 2 c > \(\frac{1}{4}\), c = \(\frac{1}{5}\) x = 12 Content on this page is licensed. m = 8 + 1 \(\frac{1}{4}\) Bryce bought a bag of cashews. Answers will vary. n 23 pups, Question 1. The goal of the lesson is for students to practice interpreting and writing recursive definitions of functions while also representing functions in different ways. The answer for the above equation is 32. a = 5.4, Question 8. Write and solve an equation to find the number of calories in each fluid ounce of Tias juice mixture. By seeing the above table we can say that the equation is 4x = 36 _______ calories. 22 = 2 2 = 4 Explanation: a. 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. Write an expression in the simplest form that represents the perimeter of the triangle.