unit 6 lesson 8 practice problems answer key

Han has 10 cubes, each 5 inches on a side. 430, Problem Solving + Applications Page No. w 36 = 56 The solution is 128. _____________. Type below: Solve the equation 2x = 24 to find the number of days Bryan worked at the library. ________ grams, Explanation: Andy drove 33 miles on Monday morning. The Hawks scored a total of 12 points. Thus the variable is not a solution. _____________. Thus the correct answers are options A, B, D. Explanation: _____________. 14c. Tina bought a t-shirt and sandals. = Explain how to find the value without solving the equation. 14c. s > 1 ________ miles. she can make 12 skirts from 9 yards of fabric. 5 k = 25 8 The equation is 21.50 + t = 23.22 Question 16. x = y + z, Question 16. The given equation is ar least 30 inches means h must be greater than or equal to 30 inches. Answer: x \(\frac{3}{4}\) = 9 Problem 2 Find the length of a side of a square if its area is: 81 square inches 4 25 cm 2 0.49 square units m2 square units Problem 3 Find the area of a square if its side length is: 3 inches 7 units 100 cm 40 inches x units A cylinder has a radius of 4 cm and a height of 5 cm. Part B Explanation: Tia mixed 4 fluid ounces of each juice. Model 2x in the left rectangle, and model 8 in the right rectangle. Let n represents the unknown number. Make sure to scale and label the axes. 85 d. Solve the equation. Type below: The given equation is The remaining titles will be four 1 tiles on the right sides. 47 Explanation: A childrens roller coaster is limited to riders whose height is at least 30 inches and at most 48 inches. 1, find an online assessment tool to score you on the Big Five Personality Framework and include the results in the assignment. To solve the equation, get the x tile by itself on one side. f = 120/5 n = \(\frac{21}{16}\) Question 8. _____________. Melinda has a block of clay that weighs 14.4 ounces. p = \(\frac{9}{2}\) \(\frac{4}{3}\) 25, 641 Type below: Question 4. 9.9 \(\frac{1}{3}\) = 3.3 hours, Question 15. The phrase divided by indicates division operation. Already using IM, but want to learn more? So far, he has saved $56. A sedan uses 28 miles per gallon on the highway. 12 _____________ A childrens roller coaster is limited to riders whose height is at least 30 inches and at most 48 inches. 84 = 4g . 8<7.8 Carole ordered 4 dresses for $80 each, a $25 sweater, and a coat. Thus 1 \(\frac{1}{2}\) is not the solution. n The phrase difference indicates a subtraction operation. Romeo was 22.1 feet away from third base when he was tagged out. Their thick fur helps them to stay warm in cold water. c. Write an equation you can use to solve the problem. 135, 12 Find her error. What value should she get as her answer? a. 25, 3.5 For numbers 10a10d, choose Yes or No to indicate whether the equation has the solution x = 12. -1 3 A number that is a solution is 55 and a number that is not a solution is 29. Type below: Expert authoring team: Read more about the educators and mathematicians who developed our curricula and professional learning: K-5, 6-8, 9-12. 25, 5 \(\frac{2}{5}\)w = 40 Type below: Type below: Ryan solved the equation 10 + y = 17 by drawing a model. Explanation: The given equation is The minimum height of people who can go on Race track is 24 inches. Explanation: 3.2 c = 32 , t \(\frac{2}{3}\), t = \(\frac{3}{4}\) 0 < 0.43 Write and solve an equation to find the temperature at 6:00 p.m. %, n Each page of Naomis report contains information about 4 of the countries that competed each year. _______ eggs. The inequality a 18 represents the possible ages a in years at which a person can vote. Type below: He has already scored 18 points. Type below: 39 Communicate Explain the steps you use to solve a multiplication equation with algebra tiles. Question 2. He sold 2 of them at a craft fair. _____________, Answer: Thus the variable is a solution. 84 is the total amount of grapes Each group has an equal number of singers. In other words, the value in cg multiplies by 10 to get a value in mg. The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds. Thus Naomi would require 9 pages to complete her report. y = _______, Explanation: _____________. Type below: Type below: Thus the two possible inequalities for k < 2 are 0 and 1. d = 8 2 = 6 153.3 143.4 = p The given equation is Tabbys mom says that she must read for at least 30 minutes each night. s < 0.43 Grade 3 Division (Kumon Math Workbooks) Kumon Publishing North America; Workbook edition (June 5, 2008) 3. Sophia took home \(\frac{2}{5}\) of the pizza that was left over from a party. p = 7 \(\frac{1}{2}\) Explanation: 3.18 is less than 3.2 Students recognize that finding the sum of the partial areas in the rectangle is the same as applying the distributive property to multiply out the terms in each factor. Two possible solutions for the inequality w 74 are _____ and _____. 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. _____________. Use algebra tiles to model the equation. Type below: 12 = x 24 She wants to buy a $300 price of the lawn mower. Number of calories in 8 ounces of pineapple juice = 140 _____________. There are 87 children and 39 adults at a show. The solution s is 3. The inequality is b 44. Substitute the solution y in the inequality. _____________, Question 2. \(\frac{3}{5}\) is less than but not equal to 1 \(\frac{2}{3}\) _____________. 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? In Jaimes math class, 9 students chose soccer as their favorite sport. 1 is greater than but not equal to -2 The solution to the inequality must be whole numbers less than 3. The difference of a number and 2 is 3 \(\frac{1}{3}\). The equation 3s = 21 can be used to find the number of students s in each van on a field trip. m = \(\frac{7}{10}\) \(\frac{3}{10}\) \(\frac{2}{3}\)n = \(\frac{7}{8}\) Thus the variable is a solution. She divided it into 10 equal parts. = y = deposit 1 18 + p = 25 m = 38 1 d < 0.52, d = 0.51 _____________. The phrase difference indicates the subtraction operation. Type below: Question 6. The length of a day on Saturn is 14 hours less than a day on Mars. Number of calories in 1 ounce of juice = 100/8 Type below: Answer: 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. IM 912 Math has spurred a rapid shift in how I go about teaching and learning mathematics. _____________, Answer: b. m 2 = 15 25.3 = w 14.9 n Do you agree or disagree with Dylan? t = \(\frac{}{}\), Explanation: Use algebra tiles to model the equation. To know which direction to shade a graph, I write inequalities with the variable on the left side of the inequality symbol. Explanation: The equation 12x = 96 gives the number of egg cartons x needed to package 96 eggs. The expression will be the product of 10 and d more than 5.50 There are 20 apples in the display. Here we have to use the addition operation. The temperature t is less than or equal to 3. p = 2.5 + 15.5 \(\frac{1}{10}\) = \(\frac{1}{10}\) = x = 50.00 39.99 p > 12 Use the chart at the right to write two inequalities that represent generalizations about the number of sea otter pups per raft. The sum of \(4 \frac{1}{3}\) and q is [/latex]5 \frac{1}{6}[/latex] Explanation: %, 1.3 = \(\frac{c}{4}\) k = 1 \(\frac{1}{2}\) x 24 = 58; x = 82 x = 4.2 5z = 25; z = 5 x = 12 + 24 She runs a total of 1 mile, or 5,280 feet. 15 Write and solve an equation to find the amount of water Jan used to wash clothes. 2019 Illustrative Mathematics. 100 25 Therefore the sales tax is $1.72 dollars. a. Type below: The expression is the difference of 9 and 2 Then solve a simpler problem to find the solution. g = 2\(\frac{1}{2}\) 60 100/20 = 6000/20 = 300 6th Grade Illustrative Mathematics Unit 6, Lesson 8 Practice "Equal and Equivalent" Review and Tutorial. This lesson transitions students from reasoning concretely and contextually about quadratic functions to reasoning about their representations in ways that are more abstract and formal (MP2). y = 5 4 14d. b = 70 10 P = 5s + 4 5 3.5 The distance from third base to home plate is 88.9 feet. q 0.6, q = 0.23 Four friends are sharing the grapes. 3 Let y represent Jarons age in years. The phrase times indicates multiplication operation. Thus the variable is a solution. a 6, a = 3 Question 4. $ _______. From the above table, we can see that there is the only theatre with 8.00 and 4.75 3 Convert from gallons to pints. Lesson 7 - More than one. y = \(\frac{1}{5}\), Question 6. Substitute the solution d in the inequality. The price of one gallon of gasoline is $3.15, Question 16. Thus the inequality is e 15, Question 2. Then solve. Substitute the value in the given equation ________ hours, Explanation: Question 2. m + 2.5 = 4.6 4 is greater than 3.2 So, no. Therefore the amount of water Jan used to wash clothes is 30 gallons. _____________ 6 h =28 w 3.3 = 0.6 41 Question 15. Kimberlys balance at the beginning of July is $31.88, Question 17. 6w = 14.4 Average speed is k/30 b = 3 \(\frac{3}{4}\), Explanation: 23 The equation 101.4 d = 99.2 can be used to find the number of degrees d that Petes temperature decreased. Answer: = = =0.37510 4 =3750 p What is the solution of the equation? _____________, Answer: How much does each ticket cost? 1 _____________, Answer: 85 Unit 3: Proportional and Linear Relationships Lesson 2 - Tell me about a different world. Explanation: _____________, Explanation: _____________. Explanation:
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