In Jaimes math class, 9 students chose soccer as their favorite sport. d. 10 24.7 10.7 = 14 m = 23.2 Write an expression in the simplest form that represents the perimeter of the triangle. x = 1 I know that the symbol has to point to the same number after I rewrite the inequality. x = 96/12 = 8 Use algebra tiles to model the equation. Answer: The minimum height of people who can go on Twirl and Whirl is 48 inches. This is 3F warmer than the temperature at 8:00. _____________. 3 = 3 Type below: Question 1. Wk. z = 128 50, 51, 54, 58, 61, 61, 62, 62, 66, 68, 69, 71 m = \(\frac{7}{10}\) \(\frac{3}{10}\) Model x + 6 in the left rectangle, and model 9 in the right rectangle. Describe Jasons error, and give the correct solution. 1999-2023, Rice University. Draw a full circle at 48 to show that 48 is a solution. Practice: Copy and Solve Graph the inequality. 100 The equation will be 3x = 18 Thus the variable is a solution. \(\frac{1}{4}\) = \(\frac{3}{5}\)s Type below: \(\frac{3}{4}\)x = \(\frac{3}{10}\) 6 p = 12 The variable is a solution. w = ________, Explanation: What do you need to find? 0 2 2 = 17 15 5.4 4.6 n = \(\frac{20}{18}\) 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. Here is part of a table that records, the number of blocks and blocks per game for each player in a womens. \(\frac{3}{4}\) 12 = 9 The given equation is \(\frac{1}{2}\) 28 = 14 The heaviest puppy weighs 12 ounces. What was the original length of the wire? Options: Question 11. Jaspar has 7 more checkers left than Karen does. y = \(\frac{1}{5}\), Question 6. x = 9 _____________, Explanation: = Number of calories in 4 ounces of pineapple juice = 140/8 4 =70 calories _____________, Question 2. f = 7 3 The mixed fraction of \(\frac{9}{8}\) is 1 \(\frac{1}{8}\) pounds. 7.5 7 Thus the equation is 8 + c = 24. Next, write an inequality to describe the weights by using the least weight on the list. 8 449, Problem Solving + Applications Page No. 3.2 3.2 Therefore the total distance of the race is 10 kilometers. 5 z = 1 + 1 = 2 x = 3 1 Explanation: \(\frac{5}{8}\)k = 25 A hybrid SUV uses 36 miles per gallon in the city. t < 4 is t is less than 4 which means t is equal to 3, 2, or 1 or 0. Problem 2 w = \(\frac{9}{8}\) z \(\frac{1}{3}=1 \frac{2}{3}\) Answer: Edwards statement makes sense because all of the popcorn prices in the table are greater than or equal to $4.00. n 6 k = 0 and 1 because they are less than 2. If 20 students attend the . Type below: _____________. 3 + m = 21 1 is greater than -3 Explanation: w = 100, Question 6. 5 + 2.5 = 7 18 = \(\frac{2}{3}\)h; h= 12 x = 10 7 Content on this page is licensed. 2 t = \(\frac{3}{5}\) \(\frac{3}{2}\) Let n represents the unknown number. 25, 641 b \(\frac{1}{4}\) = 3 \(\frac{1}{2}\) c + 35 = 57; c = 32 75 = 18 \(\frac{1}{2}\) + n, Question 9. If m represents the number of minutes reading, what inequality can represent this situation? Explanation: The Empire State Building in New York City is 443.2 meters tall. 23 4 = 19 In one week, the number of bowls a potter made was 6 times the number of plates. x = 10 3 = 7, Question 7. Practice Quiz/Tests. w = 56 + 36 e. 11 _____________, Question 2. x + 6 = 35 Type below: This book uses the x = 12 150 m = 2.9 4x = 60 f + 3 = 7 w = 22.8 + 13.7 Gabriella and Max worked on their math project for a total of 6 hours. 100, 340 Explanation: 25, 5 Lesson 3 - Pen Pals - All of us are smarter than any of us. Tina bought a t-shirt and sandals. \(\frac{7}{10}\) \(\frac{3}{5}\) = \(\frac{1}{10}\) Let c represents the number of children. Last month, Julio played 3 times as many video games as Scott did. 15 b = 70 10 2m = 4 Question 1. 62 The given equation is p 14 = 14 x 0.3 = 1.7 c = 1.3 4 To remove a factor from the variable, divide the sides into rows equal to the factor, and distribute the terms equally among all the rows. The variable is _____________, Explanation: 468, Problem Solving + Applications Page No. The remaining titles will be four 1 tiles on the right sides. 2.9 + 2.5 = 4.6 s > 1 Write an equation for the word sentence 25 is 13 more than a number. \(\frac{2}{5}\)v=10; v = 25 Write two inequalities that represent generalizations about the sea otter weights. Remove eight 1 tile on the left side and eight 1 tile on the right side. 2023, Illustrative Mathematics, all rights reserved, Integrating curriculum, professional learning and community. 11 n = 3 10 A choir is made up of 6 vocal groups. 1b. The given equation is Model 4x in the left rectangle, and model 16 in the right rectangle. _____________, Answer: There are three x tiles on the left side of your model. 18 125, 19 Phillip has a $25 gift card to his favorite restaurant. Unit 6: Expressions, Equations, and Inequalities Lesson 1 - Create a headache. Tabbys mom says that she must read for at least 30 minutes each night. \(\frac{w}{7}\) = 0.3 We consider a facilitators IM Certified stamp shorthand for quality and expertise, both in mathematics and in delivering the very best professional learning experiences to teachers and coaches. Use mental math to find the solution to 4x = 36. Choose the best term from the box to complete the sentence. In the United States, the minimum age required to run for president is 35. \(\frac{5}{6}\)f = 20 y = 5 4 8. 266 The remaining titles will be one 1 tiles on the right sides. m = \(\frac{4}{10}\), Question 5. Substitute the solution t in the inequality. 24 x y for x = 8 and y = 2. p = 0 and -5 are the solutions because 0 and -5 are greater than -12. If x = 7 100, 17 The inequality symbol for greater than or equal to is . Question 6. 17.9 + v = 35.8; v = 17.9 5 = 5 Write two inequalities that represent the height h of riders for the roller coaster. P = s + s + 4 + 3s Model 5x in the left rectangle, and model 15 in the right rectangle. 8<7.8 \(\frac{3}{10}\)r = \(\frac{3}{4}\) x = 24/2 = 12 Explanation: d + 2\(\frac{2}{5}\) = 8 \(\frac{2}{5}\) Type below: Write an expression that is equivalent to 4 + 3(5 + x). Determine whether the given value of the variable is a solution of the equation. Explanation: x + 2 = 6 The total cost of the popcorn is $5.70. Thus the expression 4 + 3(5 + x) is equivalent to 4 + 15 + 3x or 3x + 19, Question 1. Given that, s = \(\frac{}{}\), Explanation: 91.5 > 18 Type below: Three friends are sharing the cost of a bucket of popcorn. k = 40 Answer: The given equation is The solution is _______. The least weight is 6 pups. k \(\frac{3}{5}\) = \(\frac{1}{10}\) A rectangle is 12 feet wide and 96 inches long. t = \(\frac{}{}\), Explanation: Remove 1 tile on the left side and 1 tile on the right side. The expression is the difference of 9 and 2 ______ \(\frac{}{}\) pounds, Explanation: 8 is less than 7.8 The inequality is u > \(\frac{-1}{2}\) 414 ii. m + 16.8 = 40 88.9 t = 22.1 17\(\frac{1}{2}\) 18 u > \(\frac{-1}{2}\), u = 0 p Explanation: The solution is y = 1 Question 2. Explanation: 10c. 30 Then solve a simpler problem to find the solution. \(\frac{2}{5}\) 25=10 3 m = 33 7 Question 2. An online store sells DVDs for $10 each. y = 9.1 6.2 Explanation: Jack bought 2 quarts of motor oil. 0 is greater than \(\frac{-1}{2}\) = 15.5 y = 7.9 c = $90 $27. 7 = 7 92 n + 12 = 75 = Question 8. Grade 7 (Unit 6, Lesson 11) Practice Day 1 Paper Grade 7 (Unit 6, Lesson 12) Quiz Digital or Paper Grade 7 (Unit 6, Lessons 1-12, 18-22) Lesson 13: I Saw the Signs Digital Grade 7 (Unit 6, Lesson 13) Lesson 14: Unbalanced Hangers Paper with Teacher Presentation Screens Grade 7 (Unit 6, Lesson 15) Question 2. 4506 Illustrative Mathematics 6-8 Math And Algebra 1 - PBS LearningMedia SchoolKit, in collaboration with Illustrative Mathematics, has created a video version of select problem-based lessons from IM 6-8 Math and IM Algebra 1. https://www.pbslearningmedia.org/collection/illustrative-mathematics-6-8-math-and-algebra-1/ Gabriel wants to solve the equation \(\frac{5}{8}\)m = 25. Unit 1, Lesson 1, Practice Problem 1. 15x = 30 %, Jason said that the solution of the equation 2m = 4 is m = 8. 75 is 18 \(\frac{1}{2}\) more than a number. Now write an inequality to describe the number of pups by using the greatest weights in the list. 85 Use algebra tiles to model the equation. w = 4 lb x = 23 15 $ ________, Explanation: 105 A passengers age a must be more than 4 years. A cylinder has a radius of 4 cm and a height of 5 cm. A chef used 20 eggs to make 5 omelets. Question 3. \(4 \frac{1}{3}+q=5 \frac{1}{6}\) Type below: Type below: $ _______, Explanation: Each page of Naomis report contains information about 4 of the countries that competed each year. s < 0.43 s = 1.75 _____________. How many times greater is the overall number of K-12 students compared to the average number of middle school students? Jamie is making cookies for a bake sale. Answer: r 1.4 = 8.7 p = 7 \(\frac{1}{2}\) x = 50 39.99 3.4 3.2 The inequality w 3.2 represents the weight of each pumpkin, in pounds, that is allowed to be picked to be sold. The remaining titles will be two 1 tiles on the right sides. y = 37 _______ \(\frac{}{}\), Explanation: _____________. How Much for One?Practice Problems - IM 6-8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics, and is copyright 201. k = 0 in the inequality Search #668math to find this lesson fast! Type below: 5 = 4 + y Explanation: Substitute x = 1 c = 430 345 \(\frac{3}{5}\) < 0.43 5 12 9 _____________. Thus the 2 solutions are 0 and -5. Type below: 100 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. 5(3x + 2z) The equation y + 8 = 12 can be used to find the number of years y Sanjay has played. Karen is working on her math homework. Model x + 8 in the left rectangle, and model 10 in the right rectangle. The cost of each ticket is $4. _____________, Explanation: Alice has played for 12 years. He has already scored 18 points. s = 1.75 x = 16 Andy drove 33 miles on Monday morning. Thus the correct answers are B, C and D. Question 9. Answer: 3 000 000=310 6 The average number of students attending a middle school in New York is 810 2. 5 f = 20 6 Explain how you determined your answer. Question 9. The variable is _____________. Each group has an equal number of singers. 14 = 14 _____________, Answer: 1c. w = 25.3 + 14.9 This amount is 7.5 gallons less than the amount she used for washing clothes. Substitute the value in the given equation Third Grade ELA Volume 5: Subject Verb Agreement, Plural Nouns, Suffixes and Spelling, Fluency. The given equation is If her answer is incorrect, find the correct answer. x = 4.2 He travels 313 miles the first day. 14c. The difference of a number and 2 is 3 \(\frac{1}{3}\). Determine whether s = 32 or s = 80 is a solution of the equation, and tell what the solution means. Aaron wants to buy a bicycle that costs $128. To solve the equation by using the model, you need to find the value of one x tile. The total number of countries competed in total is 36. 225 30 Carole ordered 4 dresses for $80 each, a $25 sweater, and a coat. Ready Mathematics Practice and Problem Solving Grade 8 ISBN: 9781495704857 Curriculum Associates Textbook solutions Verified Chapter 1: Expressions and Equations (Exponents) and the Number System Section Lesson 1: Properties of Integer Exponents Section Lesson 2: Square Roots and Cube Roots Section Lesson 3: \(\frac{3}{7}\)m = 33 Explanation: Type below: c = 41.50 8.95 %, The inequality is x is less than or equal to 420. The variable is not the solution. = _____________, Answer: A childrens roller coaster is limited to riders whose height is at least 30 inches and at most 48 inches. 161, 8 He can use the equation 14 + m = 52 to find how much more money m he needs. Answer: We need the information about the deposit on July 12 and July 25 from the bank statement. The quotient of 6 and p is 12 h represents the height of riders for the roller coaster. b = 14.7 7 Draw 2 rectangles on your Mathboard to represent the two sides of the equation. Thus Naomi would require 9 pages to complete her report. Problem Solving + Applications Page No. IM K-12 Math is a problem-based core curriculum designed to address content and practice standards to foster learning for all. 260 Kimberlys balance at the beginning of July is $31.88, Question 17. Match the inequality to the word sentence it represents UNIT 6 LESSON 8 Practice Multiplying a Fraction by a Whole Number143 . She divides the clay into 6 equal pieces. c. 14 = m 3 Therefore the variable is not a solution. Describe the graph of g < 0.6. Preview IM K12 Math. Type below: \(\frac{1}{3}\)n = 15 Given the equation is \(\frac{t}{4}\) = 16 This can be represented by the inequality a 35. Darius said that 25 is not part of the solution of the inequality. Sheena received a gift card for $50. The equation 18 + p = 25 can be used to find the number of points p that Terrance still needs to score. 1 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. 19 29 Solve the equation 2.5m = 10. Use algebra tiles to model the equation. Type below: 5 m = 200 The inequality symbol for less than or equal to is . k = 0 k = 2 k = 4 k = 1 k = 1 \(\frac{1}{2}\) Antonio ran a total of 9 miles in two days. Sea otters spend almost their entire lives in the ocean. 100 The equation \(\frac{5}{8}\)k = 25 can be used to estimate the races length k in kilometers. cite an example to support your ar, Consider the following class designed to store weather statistics at a particular date and time: public class WeatherSnapshot { private int tempInFahrenheit; private int humidity;// value of 56 means. _____________, Answer: x -2 d = 8 + \(\frac{2}{5}\) 2 \(\frac{2}{5}\) 40 This book includes public domain images or openly licensed images that are copyrighted by their respective owners. \(\frac{3}{5}\) is greater than -1. x = 18, Question 12. = Already using IM, but want to learn more? The city received 2 \(\frac{1}{2}\) inches of rain in July. Substitute s = 10.7 in the equation x = 1 _______. So far, she has filled \(\frac{2}{3}\) of her basket, and the blueberries weigh \(\frac{3}{4}\) pound. Model and solve the equation by using algebra tiles. \(\frac{2}{3}\) 6 Explanation: 18 + p = 25 82 24 = 58 The elevation e is greater than or equal to 15 meters. 1 2 Write a short paragraph explaining to a new student how to write an inequality. 424, Problem Solving + Applications Page No. 10a. w = 2.4, Question 14. _____________, Question 20. m = 4/2 = 2 Explanation: 6 y = 5.8 and 5.9 are the solutions because 5.8 and 5.9 greater than or equal to 5.8
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