12 Type below: Substitute the value in the given equation. y = 5 4 Mr. Charles needs to have at least 10 students sign up for homework help in order to use the computer lab. m is greater than or equal to 55. Question 9. Solution Answers vary . 424, Problem Solving + Applications Page No. The variable is _____________. Lesson Title Purpose Vocabulary Notes 1 Shapes on a Plane Students develop strategies for determining the area of non-rectangular shapes. This can be represented by the inequality a 35. Bryce bought a bag of cashews. The total number of days in Algebra 2 is 124. To find the weight w in ounces of each piece, Melinda solved the equation 6w = 14.4. x + 88.74 = 120.62, Question 16. p = 4 2 \(\frac{1}{2}\) 1 \(\frac{1}{2}\) is less than but not equal to -2 Question 15. To do this, divide each side of your model into two equal groups. Convert from minutes to hour. Spring Final Exam Review. 3 60 20% Problem 4. Review and tutorial. When writing a word sentence as an equation, explain when to use a variable. Use the bar graph for 1011. p 2 \(\frac{1}{2}\) = 5 91.5 > 18 Isolate the variable on one side by adding opposites and creating zero pairs. x/3 = 4 9 = \(\frac{3}{4}\)e; e = 12 The equation 12x = 96 gives the number of egg cartons x needed to package 96 eggs. _____________. Question 2. 40/30 = 4/3 Sample response : Scatter plots are best when looking for an overall pattern ( or lack of one ) . or These materials enable personalized practice alongside the new Illustrative Mathematics 8th grade curriculum. Substitute the value in the given equation. x = 12 Answer: x = 6 2 Thus m = 40, Question 3. c. 25 = n 2 The variable is not the solution. at most 48 inches means h must be less than 48 inches. 1b is "The solutions to are all possible combinations of unit prices for the two items that make a total of $ 178.50 when buying 8 calculators and 1 measuring tape." and for 3c the dollar amount is $ 673.50. $ _______. p = $3.15 \(\frac{5}{8}\)k = 25 In the equation t + 2.5 = 7, determine whether t = 4.5, t = 5, or t = 5.5 is a solution of the equation. The equation is p 2, Question 6. What is the volume of the cylinder when its radius is tripled? 13% Write an inequality representing b, the heights in inches of people who can go on both River Rapids and Mighty Mountain. The error of Jason is he multiplied 2 and 4 but he should divide 4 by 2. 90 Suppose Cydneys graph had an empty circle at 14. Explanation: b \(\frac{5}{8}\) = = Lesson 6 Representing Sequences Preparation Lesson Practice View Student Lesson Problem 1 An arithmetic sequence starts 2, 5, . The maximum capacity of the school auditorium is 420 people Question 1. The temperature dropped 8 degrees between 6:00 p.m. and midnight. The solution x is 4.2. The inequality is s 1 1b. Answer: Type below: Therefore the variable is not a solution. Question 7. In the expression 4 + 3x + 5y, what is the coefficient of x? 11 3 + m = 21 Question 11. w 36 = 56 2 a = 6.8 14 Substitute s = 9.3 in the equation h = 2 135, 12 Explanation: The equation 39.99 + x = 50 4 is the number of friends So, y = 36 x Question 10. 17 2 = 15 4 pounds = 4 16 ounces = 64 ounces The equation is 6w = 14.4 f. 12. Lesson 14 - Create a headache. 8 7 = 15 4, 3 The variable is __________. If you wrote an equation to find the year in which Carmen was born, what operation would you use in your equation? Substitute p = 7 in the above equation. Remove five 1 tiles on the left side and five 1 tiles on the right side. 400 8 = 50, Question 9. k < 2 Therefore the cost of the popcorn is $3. \(\frac{a}{14}\) = 6.8 Question 9. \(\frac{3}{4}\)x = 9 His distance represents \(\frac{3}{10}\) of the total distance of the race. So, Paige is willing to buy a ticket and popcorn from 1 theatre. The given equation is Wk. b. To do this, divide each side of your model into two equal groups. Question 2. Question 3. 75, 266 1 consent of Rice University. 52 She solves the equation \(\frac{b}{8}\) = 56 and says that the solution is b = 7. The temperature t is less than or equal to 3. 62 The variable is not the solution. Stu is 4 feet tall. There are 20 apples in the display. 3 m = 33 7 0.85 Write and solve an equation to find Kimberlys balance at the beginning of July. Type below: \(\frac{1}{5}\) > \(\frac{1}{4}\) Make sure to scale and label the axes. b. m 2 = 15 25 f = 1 A = 1152 square feet. What level of management does a kindergarten teacher use compared to say a junior high teacher? b. n 4 = 19 Write an equation that represents the volume. Connor ran 3 kilometers in a relay race. b = 3 \(\frac{1}{2}\) + \(\frac{1}{4}\) Edward says that inequality d 4.00 represents the popcorn prices in the table, where d is the price of popcorn in dollars. 4 0 is less than 0.43 1 16 + n = 39 A sum or difference of two. Match the inequality with the word sentence it represents. f = 7 3 27 = Question 3. _____________, Answer: 75 = n + 12 z = deposit 2 The table shows the number of assists and number of points for. The rectangle is by itself on the left and 7 squares are on the right side. 8 \(\frac{2}{5}\) = d + 2\(\frac{2}{5}\) d = 2.2, Question 3. Therefore the variable is a solution. Max worked on the project for 2 hours by himself. Question 5. 3 d = 3 10 The solution c is 10. The heaviest puppy weighs 12 ounces. c = 1/0.1 = 10 Question 4. I Disagree with Karen. In the Course Guide, under Scope and Sequence, the Pacing Guide for Algebra 2 Unit 3 was edited to remove lesson 13 from the list of optional lessons. The distance from third base to home plate is 88.9 feet. 14d. Write your answer as a mixed number or a whole number, when possible. s = 1.75 Explanation: Question 8. 3c = 24, Question 5. The equation that could be used to find the number of gallons the tank holds is Explanation: Type below: 24 (8 2) Type below: 5, 18.04 Sheena received a gift card for $50. 8<7.8 3 Estella buys 1.8 pounds of walnuts for a total of $5.04. 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. 92, 6 Question 15. The equation is n + \(\frac{2}{5}=\frac{4}{5}\) 437, Solve Addition and Subtraction Equations Page No. 100 The mixed fraction of \(\frac{9}{8}\) is 1 \(\frac{1}{8}\) pounds. The variable is _____________. The total number of countries competed in total is 72. 100, 62 _____________ Question 16. Jason said that the solution of the equation 2m = 4 is m = 8. Type below: Explanation: There are many cylinders with radius 6 meters. _____________, Answer: number of apples weight of apples (grams) 2 511 5 1200 8 2016 Estimate the weight of 6 apples. n 13 = 2; n = 15 Aaron wants to buy a bicycle that costs $128. First, list the number of pups in order from least to greatest. p < 0, p = 4 3.5x = 14.7 _____________, Answer: x -2 110 Unit 1, Lesson 1, Practice Problem 1. y = 9.1 6.2 _____________. The variable is __________. The variable is not the solution. 125, 19 z = ________. Question 13. Sitemap. = Type below: 4 Given that, Estella buys 1.8 pounds of walnuts for a total of $5.04. Expert Help. He needs $38 more. Explanation: 3.15 < 3.2 _____________, Answer: Simplify Rational Exponents. Model x + 5 in the left rectangle, and model 7 in the right rectangle. Download Go Math Grade 6 Chapter 8 Solution of Equations Answer Key PDF for free and start your practice. ______ \(\frac{}{}\) feet. Graph your inequality from Exercise 12. 36 Type below: Explanation: Question 5. The table shows the number of apples and the total weight of the apples. The phrase times indicates multiplication operation. \(\frac{1}{3}\) 2 = 6 _____________. 12 Explain how to find the value without solving the equation. Thus Naomi would require 9 pages to complete her report. 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Only the IM Certified Experience helps teachers catalyze mathematical proficiency with an engaging and inclusive approach that lifts students up to the skills, understandings, and practices that will stay with them for a lifetime. 100 Substitute the value in the given equation. Answer: 6 r = 10.1 The inequality x 2 represents the elevation x of a certain object found at a dig site. 6 Naomi is doing a report about the 1900 and 1904 Olympic Games. The inequality p < 4.75 represents the prices p in dollars that Paige is willing to pay for popcorn. Question 10. Question 5. _____________. Type below: The bar graph shows the number of countries that competed in the first four modern Olympic Games. Type below: 100 Thus the 2 solutions are 1 and 2. The variable is a solution. The number of countries that competed in the 1904 summer Olympic games is 12. Question 3. If her answer is incorrect, find the correct answer. x = 9 _____________. 2x = 32 x = 36/4 Type below: 62% What was the weight of the crackers originally in the box? Options: Question 6.4 3.5b = 23.8 The cost of the items without sales tax was $430. Remove three 1 tiles on the left side and three 1 tiles on the right side. The expression is 50h + 25. Three of the following are solutions of g < 1\(\frac{1}{2}\). 25 = \(\frac{1}{4}\)n 3.18 < 3.2 lb The equation 39.99 + x = 50 can be used to find the amount x that is left on the gift card. Therefore the total distance of the race is 10 kilometers. Our material contains a brief explanation along with the graphs here. Gabriela is solving the equation x + 1 = 6. Substitute the value in the given equation Title: untitled Created Date: p Digitize Assets. The equation 7s = 21 can be used to find the number of snakes s in each cage at a zoo. Thus the answer is yes. Not a solution They are also familiar with some features of the expressions, tables, and graphs that represent such functions. f 5 16 gallons = 16 8 = 128 pints 40 Question 12. 24.7 s = 14 s = 7 n x = 10.01 3 w = 9 4 \(\frac{2}{5}\)p = \(\frac{1}{2}\) Model x + 4 in the left rectangle, and model 5 in the right rectangle. Draw 11 rectangles on your MathBoard to represent the two sides of the equation. The equation is n 2 = 3 \(\frac{1}{3}\), Question 3. _____________, Answer: 100 e = 12 Type below: m represents the number of minutes of reading. Determine whether s = 9.3 or s = 10.7 is a solution of the equation, and tell what the solution means. Type below: The solution is mean. The maximum number of players allowed on a lacrosse team is 23. w = \(\frac{3}{4}\) \(\frac{3}{2}\) ______ pounds. b = 700 _____________. Model and solve the equation by using algebra tiles. \(\frac{3}{5}\) is greater than -1. For example, I write 4 < y as y > 4 m = 40 16.8 Type below: p = 1/2, Question 1. _____________ 4 < 0 This was \(\frac{3}{7}\) of the total number of miles he drove on Monday. k = \(\frac{7}{10}\) 22.2 22 Model 3x in the left rectangle, and model 21 in the right rectangle. Whats the Error? 18 Model and solve the equation x + 3 = 10 to find the temperature x in degrees Fahrenheit at 8:00. 85 The maximum number of players allowed on a lacrosse team is 23. m = _______, Explanation: The number of countries that competed in the 1904 summer Olympic games is 12. The phrase difference indicates a subtraction operation. 19 = 19 n = 63 Use algebra tiles to model the equation. m < 5, where m is the mass in kilograms. 5-Go Go Sports Instructions.xlsx. The solution is m = 30, Explanation: The variable is _____________. The variable is a solution. 60 70 Question 12. Our 6-8 math digital curriculum is now available in partnership with Kiddom. The equation 101.4 d = 99.2 can be used to find the number of degrees d that Petes temperature decreased. t = 23.22 21.50 The phrase more than indicates addition operation. w = 3.2 lb z \(\frac{1}{3}=1 \frac{2}{3}\) _____________. The expression will be 5.70 is the product of 3 and a. Gabriella worked 4 hours on the project. Question 3. What is the solution of the equation? Sheena received a gift card for $50. _____________, Answer: Include Practice exercises for all mathematical concepts to improve your problem-solving skills. 3 d = 30 Answer: An equation is a mathematical statement that two expressions are equal. Question 6. The solution to the inequality must be whole numbers greater than or equal to 5.8 The solution to the inequality must be whole numbers less than 3. The given equation is 4 Question 1. MTH 321. 100 52, n 10d. My students mathematical thinking blows my mind! _____________, Question 8. What is the full price of the lawn mower that she wants to buy? Type below: _____________, Answer: _____________, Question 5. x \(\frac{3}{4}\) = 9 _____________. IM 912 Math has spurred a rapid shift in how I go about teaching and learning mathematics. Question 8. 9 d = 5 \(\frac{1}{4}\); d = 3 \(\frac{3}{4}\) is a solution. Answer: Division operation is needed to write the equation to know how many x skirts she can make from 9 yards of fabric. The score s in a basketball game is greater than or equal to 10 points 3 Study Resources. Type below: Explanation: Karen is working on her math homework. At top speed, a coyote can run at a speed of 44 miles per hour. Salimah had 42 photos on her phone. The equation is n \(\frac{2}{3}\) = \(\frac{3}{8}\), Question 4. 13 The equation x + 21 = 45 can be used to find the number of days x left in the marking period. Question 6. Lesson 3 - Tell me about a different world. The inequality s 92 represents the score s that Jared must earn on his next test to get an A on his report card. x = 120.62 88.74 Part B are not subject to the Creative Commons license and may not be reproduced without the prior and express written Students develop their capacity to represent, interpret, and use functions to make sense of quantities in situations and to solve problems. What is the solution of the equation 8.7 + n = 15.1? The inequality t23 represents the total number of players t allowed on the team. Substitute p = 13 Question 6. Which expression represents Dawns age? Answer: Two possible solutions for the inequality are _____ and _____. e < 3 Substitute x = 1 Explanation: Sense or Nonsense? Substitute the value in the given equation p = 3 _____________. Explanation: Question 3. What step should he do to get m by itself on one side of the equation? The equation will be 3x = 18 Match the inequality to the word sentence it represents Type below: _____________. Thus the variable is a solution. Explanation: c = 4.1 grams, Question 12. k = 40 18 The variable is __________. _______, Explanation: This represents \(\frac{3}{10}\) of the total amount of rain the city received in July. A number divided by 0.5 is 29. 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. MTH 409. Graph Theory. Question 17. n = \(\frac{20}{18}\) 5 Write the inequality that is shown by the graph. a = 18 _____________, Question 5. 6 h =28 Use numbers and words to support your answer Type below: The expression is the difference of 9 and 2 t = 5.5 Question 5. x = 12 \(\frac{1}{4}\) \(\frac{5}{3}\) = s $ _______, Explanation: How long has Sanjay played soccer? There are five x tiles on the left side of your model. Question 12. _______ \(\frac{}{}\) inches of rain. m + 2.5 = 4.6 Question 3. 14 + m = 52 The marking period is 45 school days long. Explanation: When is it better to use a scatter plot? x = \(\frac{12}{30}\) y = 5.8 and 5.9 are the solutions because 5.8 and 5.9 greater than or equal to 5.8 How many times greater is the overall number of K-12 students compared to the average number of middle school students? = How many students are in each van? c represents the cost of his lunch Write a word sentence for the inequality. Model and solve the equation 5x = 20 to find the number of eggs x in each omelet. Thus 1 is not the solution. 2x = 24 k = 0 and 1 because they are less than 2. 7 Ms. McNeil buys 2.4 gallons of gasoline. 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. n = \(\frac{5}{6}\) \(\frac{4}{3}\) The equation to find the temperature at 6:00 p.m is 34F, Question 15. Andy drove 33 miles on Monday morning. 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. Thus the variable is the solution. Explanation: 105 The equation \(\frac{6}{7}\)h = 4 1 150 Feb 9, 2022 OpenStax. The equation 101.4 d = 99.2 The solution means that the mountain lion has lived at the zoo for 1 year. To solve the equation, get the y tile by itself on one side. k = 1 \(\frac{1}{2}\) Tina bought a t-shirt and sandals. _____________. 2 = 2 Given the equation is 3x = 27 OUR 6-8 Math digital curriculum comes to life in Kiddom: Manage Curricula. Students match sequences and recursive definitions in a matching activity, giving them opportunities to explain their reasoning and critique the reasoning of others (MP3). Type below: 5x = 70 The chart shows their results. Unit 1, Lesson 5, Lesson Synthesis. x = 32/2 Therefore the variable is not a solution. 60 = 60 b. Thus the solution of the variable b is 6.8, Question 9. Type below: Approximately how many hours will it take a dog sled team to finish the race if it travels at an average speed of 30 kilometers per hour? Jack bought 2 quarts of motor oil. 7\(\frac{1}{2}\) < 1\(\frac{1}{2}\). c. 25 = n 2 See if the numbers match. The equation \(\frac{2}{3}\)n = \(\frac{7}{8}\) can be used to find the number of pounds n in a full bag. A = 12 96 Question 3. Write an expression that represents the total cost of Franks DVDs. s = 80 because 80 5 = 400 3.2 c = 32 s = _______. = Use algebra tiles to model the equation. 12 Jan used 22.5 gallons of water in the shower. A hybrid SUV uses 36 miles per gallon in the city. Solve the equation to find the total number of books in the librarys collection. . 153.3 143.4 = p Type below: _____________. Determine whether d = 4 \(\frac{3}{4}\), d = 4, or d = 3 \(\frac{3}{4}\) is a solution of the equation, and tell what the solution means. r = \(\frac{30}{12}\) So, you need to be at least 44 inches tall to go on both rides. 18 18 Substitute the value in the given equation . x = 3 The inequality symbol for greater than is >. y \(\frac{3}{4}=\frac{1}{2}\) 45.50 + 43.24 = 88.74 Question 11. \(\frac{x}{3}\) = 4 Content on this page is licensed. The equation 21.50 + t = 23.22 can be used to find the amount of sales tax t in dollars. If you remove a tile from one side, you can keep the two sides equal by removing the same type of tile from the other side. Math Topics > . A storm on one of the planets listed in the table lasted for 60 hours, or 2.5 of the planets days. _____________. The number is 30. _____________, Answer: 455, Problem Solving Equations with Fractions Page No. \(\frac{3}{4}\)n = \(\frac{5}{6}\) 3s = 21 %, 16 Model x + 3 in the left rectangle, and model 4 in the right rectangle. Answer: Gary knows that p = 2 \(\frac{1}{2}\) is a solution to one of the following equations. Let n represents the unknown number. Question 6. Type below: then you must include on every digital page view the following attribution: Use the information below to generate a citation. a = 7.8 2.4 m is greater than or equal to 30. ________ pints. _____________, Answer: Number of calories in 8 ounces of orange juice = 100 Thus there are 4 eggs in each omelet. IM K-5 Math is rigorous, problem-based, and fully aligned to the standards, with coherence across grade bands. _______ \(\frac{}{}\) pizzas. a = -3 By seeing the above inequality we can write the word sentence for inequality as, What was the cost of the coat? Type below: A choir is made up of 6 vocal groups. Explanation: _____________, Explanation: s = \(\frac{}{}\), Explanation: The equation is n 0.5 = 29, Question 5. _____________, Answer: Answer: Two possible scores that Jared could earn to get the A are 92 and 100. \(\frac{1}{2}\)c = 14; c = 28 Given the equation 16 + x = 42 and you must attribute OpenStax. Thus the variable is a solution.
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