In a serving of 8 fluid ounces of pomegranate juice, there are 32.8 grams of carbohydrates. Illustrative Math Answer Key 47 x = 36 Let the amount of water Jan used to wash clothes be x = \(\frac{70}{63}\) Now the inequality symbol points in the direction that I should draw the shaded arrow on my graph. Remove five 1 tiles on the left side and five 1 tiles on the right side. Answer: Two possible scores that Jared could earn to get the A are 92 and 100. Solve the equation \(\frac{3}{7}\)m = 33 to find the total number of miles Andy drove on Monday. What step should he do to get m by itself on one side of the equation? This height represents \(\frac{6}{7}\) of his brothers height. The coefficient is _______. = Explanation: y = 4 years Type below: $ _______. s > -1 That amount is \(\frac{3}{4}\) of the entire bag of dog food. x/3 = 5 Therefore the sales tax is $1.72 dollars. Type below: 1000, 1 What is the solution of the equation? s = \(\frac{}{}\), Explanation: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Question 5. Write and solve a word problem that can be solved by solving a multiplication equation. $ _____. _____________. If 20 students attend the . y 5.8 r = \(\frac{30}{12}\) 100 _____________, Answer: Solve the equation x + 2 = 6 to find out how many hours Gabriella worked on the project. _____________. The maximum capacity of the school auditorium is 420 people. _____________. Is Edwards statement sense or nonsense? _____________, Answer: t + 2.5 = 7 The equation \(\frac{3}{10}\)d = 3 can be used to find the total distance d of the race in kilometers. Thus the original length of the wire is 61.1 centimeters. 400 8 = 50, Question 9. c 0.35 Type below: 60 20% Type below: 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, Thus the inequality is c 25. To solve the equation by using the model, you need to find the value of one x tile. The solution to the inequality must be whole numbers greater than -12 60 1 is greater than but not equal to -2 In this lesson, students use this familiar reasoning to expand expressions such as , where and are side lengths of a rectangle with each side length is decomposed into and a number. The answer is yes. This is 3F warmer than the temperature at 8:00. How many pizzas were left over? 100 454, Solve Multiplication and Division Equations Page No. Question 1. A = 12 96 40 Whats the Error? Lorenzo only has 3 \(\frac{3}{4}\) cups of flour. The Hawks beat the Tigers by 5 points in a football game. Aaron wants to buy a bicycle that costs $128. l = 61.1 centimeters Thus the variable is not a solution. n If you keep practicing you will never end to love the maths. Alex should have packed half as many shorts and twice as many shirts. 146 UNIT 6 LESSON 9 Mixed Practice . , ______ hours. n Type below: Answer: When Pete had a fever, his temperature was 101.4F. _____________, Question 7. Type below: _____________. Question 8. Lesson 24: Solutions to Systems of Linear Inequalities in Two Variables Lesson 25: Solving Problems with Systems of Linear Inequalities in Two Variables. Eureka Math Grade 8 Module 4 Lesson 6 Problem Set Answer Key Students practice using the distributive property to transform equations and solve. Two possible solutions for the inequality w 74 are _____ and _____. 3.2 c = 32 10d. In the expression 4 + 3x + 5y, what is the coefficient of x? m < 15 17 2 = 15 Model 2x in the left rectangle, and model 10 in the right rectangle. p + 2 \(\frac{1}{2}\) = 5 _____________. Type below: Write and solve an equation that can be used to find how many goals Spencers team attempted. p = 14 + 14 The variable is __________. Sitemap. 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. Type below: 40, 5 c > \(\frac{1}{4}\), c = \(\frac{1}{5}\) Explanation: 27 Three times the cost is $24. 1 The solution for the equation is 18. The equation y + 8 = 12 can be used to find the number of years y Sanjay has played. _____________, Answer: y 7.9 means y is greater than or equal to 7.9, Question 3. 9 What is the solution of the equation that is modeled by the algebra tiles? 4 is greater than 3.2 Answer: Use the distributive property to write equivalent quadratic expressions. Type below: 100, 27 60 20/100 Use algebra tiles to model the equation. He wants to use the gift card to buy lunch. The temperature at midnight was 26F. c. 14 = m 3 Answer: = A rectangle is 12 feet wide and 96 inches long. 8 A dog sled race is 25 miles long. Use algebra tiles to model the equation. Thus the value of d is 6. 2 d = 3 10 62% Lorenzo only has 3 \(\frac{3}{4}\) cups of flour. w = 22.8 + 13.7 Write and solve an equation to find the price p in dollars of one gallon of gasoline. \(\frac{5}{6}\)f = 20 The given equation is Rachel determines there are _____________ days left. Connect Symbols to Words Sonya was born in 1998. The given equation is 100 Unit 3: Unit Rates and Percentages. 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 equation is 5(12 9). To do this, divide each side of your model into two equal groups. Type below: So far, she has filled \(\frac{2}{3}\) of her basket, and the blueberries weigh \(\frac{3}{4}\) pound. Isolate the variable on one side by adding opposites and creating zero pairs. Substitute the value in the given equation Yes Type below: Franks hockey team attempted 15 more goals than Spencers team. Grade 8 Mathematics - Open Up Resources s = \(\frac{5}{12}\), Question 11. Explanation: Describe a Method Describe how you would draw a model to solve the equation x + 5 = 10. Thus Rachel determines there are 24 days left. 4.92 4 \(\frac{2}{3}\) 4 \(\frac{1}{5}\) 2.8 = 4t h = 28/6 a. Thus the variable is a solution. The total cost is $7.56. Type below: _____________. Based on this data, would you expect 1956 to have closer to 50,000 cases, In volleyball statistics, a block is recorded when a player deflects the ball hit from, the opposing team. Each page will contain info7rmation about 4 of the countries that competed each year. In one week, the number of bowls a potter made was 6 times the number of plates. The equation 5 = 4 + y can be used to find the number of years y the mountain lion has lived at the zoo. Substitute the value in the given equation We have included the advice of expert professionals to help the students for a better understanding of solving problems. Type below: \(\frac{2}{3}\) is less than 2 \(\frac{3}{4}\) The variable is the solution. A recipe calls for 5 \(\frac{1}{2}\) cups of flour. w 71, Question 9. Next, write an inequality to describe the number of pups by using the least number of pups on the list. The variable is __________. 67 57 , The cost of the items without sales tax was $430. ________ kilometers. Question 2. 20 Type below: 641 4.92 Question 2. 45.50 + 43.24 = 88.74 c = 5.2, Question 9. Question 15. p = \(\frac{5}{4}\) Remove 1 tile on the left side and 1 tile on the right side. Substitute z = 5 -2 -5c Type below: 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. n = _______, Explanation: 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. 436, Model and Solve Addition Equations Page No. d = 30/2 2. This is 20% of the price of the lawn mower. x + 12 = 29; x = 7 0 is greater than -1 n = 23 Now p with \(\frac{1}{3}\) to find the length of a storm that lasts of a day on this planet \(\frac{x}{3}\) = 5 Type below: Lesson 9 - You can't break math. 36 0.85. Grade 6, Unit 2, Lesson 8 Practice Problems - YouTube 1 b = 23.8/3.5 Explanation: , To solve the equation, get the y tile by itself on one side. 60 = 60 4 is not less than 0 4 s = 1 The given equation is Thus the variable is a solution. m = 6 \(\frac{1}{2}\) + 2 \(\frac{3}{4}\) d. 2 = m 15 The inequality x 2 represents the elevation x of a certain object found at a dig site. g = 4 g = 7\(\frac{1}{2}\) g = 0 g = 2\(\frac{1}{2}\) For numbers 14a14d, choose Yes or No to indicate whether the equation has the solution x = 15. Substitute the value in the given equation 4 1.75 1 \(\frac{2}{3}\) _____________, Answer: Type below: x 7 = 15; x = 8 Use the bar graph for 1011. Question 3. m = 77 miles Eight more than the number of children is 24. Lesson 4 - Tell me about a different world. 3. 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 expression is the difference of 9 and 2 9 3 \(\frac{3}{4}\) = 5 \(\frac{1}{4}\) a = ________, Explanation: k = 2 Type below: Selectall stories that the tape diagram can represent. 395 3 w = 9 4 The equation \(\frac{5}{6}\)f = 20 can be used to find how many pieces of fruit f are in the basket. the difference of x and 14 is 52 Max worked on the project for 2 hours by himself. Given the value of x is 15 p > 12 _____________, Question 11. Question 4. Type below: Evaluate the right-hand side expression at the given value to get a number. Let n represents the unknown number. In earlier grades, students reasoned about multiplication by thinking of the product as the area of a rectangle where the two factors being multiplied are the side lengths of the rectangle. Describe the error that Melinda made After taking some medicine, his temperature was 99.2F. Terrance needs to score 25 points to win a game. the equation is y + 8 = 12 The phrase more than indicates addition operation. 1.8p = 5.04 12 The equation 2.5h = 60 can be used to find the length in hours h of a day on the planet. He wants to use the gift card to buy lunch. 84 = 4g Use algebra tiles to model the equation. Substitute n = 5 = The variable is _____________. Remove two 1 tiles on the left side and five 1 tiles on the right side.