1 Ms. McNeil buys 2.4 gallons of gasoline. Explanation: 3 + m = 21 are not subject to the Creative Commons license and may not be reproduced without the prior and express written 6th Grade Illustrative Mathematics Unit 6, Lesson 8 Practice \"Equal and Equivalent\" Review and Tutorial. Using substitution, the coach determines that Romeo needed to run _____ feet to get to home plate. She divides the clay into 6 equal pieces. Given, Phillip has a $25 gift card to his favorite restaurant. The sample solution to the first question should use 20 instead of 25. Write a math problem for the equation \(\frac{3}{4}\)n = \(\frac{5}{6}\). Type below: m = 16 + 14 Draw 11 rectangles on your MathBoard to represent the two sides of the equation. This is 119.2 meters taller than the Eiffel Tower in Paris. In a basket of fruit, \(\frac{5}{6}\) of the pieces of fruit are apples. Graph the solutions of the inequality on the number line. Given the equation is a + 2.4 = 7.8 _____________, Explanation: Salimah had 42 photos on her phone. Stu is 4 feet tall. He served \(\frac{7}{8}\) pound of cashews at a party. p = 3 The remaining titles will be three 1 tiles on the right sides. 6 Phillip has a $25 gift card to his favorite restaurant. The inequality p < 4.75 represents the prices p in dollars that Paige is willing to pay for popcorn. 52, n s = \(\frac{}{}\), Explanation: Explanation: Luis has saved $14 for a skateboard that costs $52. Model x + 5 in the left rectangle, and model 10 in the right rectangle. _____________. Write the inequality that is shown by the graph. p = 14 + 14 n = 45, Question 5. Type below: \(\frac{w}{7}\) = 0.3 23 % _____________. Therefore the variable is a solution. Type below: Type below: A generalization is a statement that is true about a group of facts. h is a positive number. To do this, divide each side of your model into 4 equal groups. The phrase difference indicates a subtraction operation. Thus the 2 solutions are 0 and -5. Question 2. Explanation: Thus the variable is not a solution. Now the mixture has 50 + 70 calories = 120 calories in 8 ounces n Question 3. Solution Answers vary . where a represents the number of articles. We have to subtract 5 years to know the age of Jaron. The variable is a solution. _____________. EdReports, a highly-regarded independent nonprofit that . Review and tutorial. A hybrid SUV uses 36 miles per gallon in the city. Lesson 9 - You can't break math. 6 h =28 Betty needs \(\frac{3}{4}\) of a yard of fabric to make a skirt. Use algebra tiles to model the equation. Explanation: _____________. Explanation: 40 n = \(\frac{4}{5}\) \(\frac{2}{5}\) _____________, Answer: x + 16 = 42 Their thick fur helps them to stay warm in cold water. Write and solve an equation to find the distance, in feet, that she runs in each lap. The equation is s + 55 = 55 Our Go Math Grade 6 Answer Key Chapter 8 Solutions of Equations is helpful for quick revision and easy to understand. Explanation: = The equation 3s = 21 can be used to find the number of students s in each van on a field trip. The variable is __________. Therefore the cost of one pound of walnuts is $2.8, Question 2. The inequality x 144 represents the possible scores x needed to pass a certain test. 23 Type below: Thus -2 is the solution. Explanation: k = 2 The variable is __________. The total number of countries competed in total is 72. Type below: Write and solve an equation to find the temperature at 6:00 p.m. The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds. Licensed under the Creative Commons Attribution 4.0 license. _______ centimeters. Answer: Question 2. 25 Students learn by doing math, solving problems in mathematical and real-world contexts, and constructing arguments using precise language. The expression equivalent to 5(3x + 2z) is 15x + 10z, Question 5. Type below: 10a. Study Resources. There are 23 full-page ads and 14 half-page ads. Answer: The word sentence for the inequality is k is less than -7. 0.6 is not less than 0.43 _____________, Explanation: 82 24 = 58 c = 32.8/8 The remaining titles will be one 1 tiles on the right sides. x = 50.00 39.99 n 1 \(\frac{1}{2}\) To do this, divide each side of your model into three equal groups. 436, Model and Solve Addition Equations Page No. 2 + p = 2 \(\frac{1}{2}\) 3 m = 33 7 _____________, Question 10. Answer: Anne runs 6 laps on a track. The variable is not the solution. Cydney graphed the inequality d 14. Using substitution, Rachel determines there are 24 days left in the marking period. Type below: \(\frac{3}{5}\) = 0.6 2.3 of m is 0.46, Question 7. Write an equation that can be used to find the cost c in dollars of the earrings. Three times the cost is $24. _______, Explanation: At how many theaters would Paige be willing to buy a ticket and popcorn? Model 2x in the left rectangle, and model 8 in the right rectangle. The equation 9 d = 5 \(\frac{1}{4}\) can be used to find the distance d in miles Antonio ran the second day. Pose a Problem Use the information in the bar graph to write and solve a problem involving a multiplication equation. The phrase difference indicates the subtraction operation. y = 5.8 and 5.9 are the solutions because 5.8 and 5.9 greater than or equal to 5.8 If her answer is incorrect, find the correct answer. Explanation: The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo c = 1/0.1 = 10 = Grade 8 Mathematics - Open Up Resources z = 1 + \(\frac{3}{3}\) What is the solution of the equation? The cost of the items without sales tax was $430. c. 9 Answer: In hockey, a player gets credited with a point in their statistics when they get an, assist or goal. w 36 = 56 \(\frac{5}{6}\)f = 20 Explanation: 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. The variable is not the solution. 2 t \(\frac{2}{3}\), t = \(\frac{3}{4}\) _____________, The table shows the height requirements for rides at an amusement park. 400 8 = 50, Question 9. Type below: _____________, Answer: z \(\frac{1}{3}=1 \frac{2}{3}\) Thus the equation is x = 16. h represents the height of riders for the roller coaster. This height represents \(\frac{6}{7}\) of his brothers height. s = \(\frac{}{}\), Explanation: b = \(\frac{2}{3}\) x = 1, Question 2. m < 5, where m is the mass in kilograms. _______ pages. For numbers 10a10d, choose Yes or No to indicate whether the equation has the solution x = 12. Let x be the maximum people Question 6. How many pounds of dog food were originally in the bag? 25 = \(\frac{1}{4}\)n How much does the heaviest puppy weigh? = Thus the solution is less than 6. A magazine has 110 pages. 100 By seeing the above table we can say that the equation is 4x = 36 8 is less than 7.8 e. 11 1 is greater than -3 430, Problem Solving + Applications Page No. s 1 \(\frac{2}{3}\) b. n 4 = 19 30 Thus the variable is not the solution. This book includes public domain images or openly licensed images that are copyrighted by their respective owners. Is the planet Earth, Mars, or Jupiter? Write an inequality for the situation. , 2023, Illustrative Mathematics, all rights reserved, Integrating curriculum, professional learning and community. Alice has played for 12 years. The t-shirt cost $8.95. 75 b. x 24 = 12 These include equations in which the variable occurs on both sides of the equal sign, and equations with no solutions, exactly one solution, and infinitely many solutions. = 463, Problem Solving + Applications Page No. b. n 4 = 19 25 = 23 2 85 The inequality is y 3 p = _______. Question 9. 5 She divided it into 10 equal parts. x = 12 x = 36 Frank orders d DVDs. She bought 9 yards of fabric. x = 3 Thus the variable is not a solution. Use the distributive property to write equivalent quadratic expressions. w = 100, Question 6. By seeing the above table we can say that Earth is the answer. Substitute p = 7 in the above equation. \(\frac{x}{3}\) = 4 Han has 10 cubes, each 5 inches on a side. Therefore the variable is not a solution. Lesson 7 - More than one. x = 13 4 The solution to the inequality must be whole numbers greater than or equal to 5.8 Model x + 6 in the left rectangle, and model 8 in the right rectangle. Question 8. Type below: 1 \(\frac{1}{2}\) 2 Franks hockey team attempted 15 more goals than Spencers team. The inequality is b 44. Explanation: 6w = 14.4 y 14 = 23 The city received 2 \(\frac{1}{2}\) inches of rain in July. c = 32 Solve the equation \(\frac{3}{7}\)m = 33 to find the total number of miles Andy drove on Monday. Substitute the value in the given equation 3 The inequality symbol for less than is <. The equation 12x = 96 gives the number of egg cartons x needed to package 96 eggs. _____________, Explanation: Problem 4 (from Unit 5, Lesson 17) There are many cylinders with radius 6 meters. w 3.3 = 0.6 Describe the error that Melinda made 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. 3c = 24, Question 5. 0 is greater than \(\frac{-1}{2}\) m < 15 The total cost was $41.50. y \(\frac{3}{4}=\frac{1}{2}\) Max worked on the project for 2 hours by himself. _____________ The given equation is Julio played 18 video games. That amount is \(\frac{3}{4}\) of the entire bag of dog food.
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