{"id":985,"date":"2021-04-23T17:58:43","date_gmt":"2021-04-23T12:28:43","guid":{"rendered":"https:\/\/envisionmathanswerkey.com\/?p=985"},"modified":"2022-02-25T12:22:16","modified_gmt":"2022-02-25T06:52:16","slug":"envision-math-grade-6-answer-key-topic-2-8","status":"publish","type":"post","link":"https:\/\/envisionmathanswerkey.com\/envision-math-grade-6-answer-key-topic-2-8\/","title":{"rendered":"Envision Math Grade 6 Answer Key Topic 2.8 Problem Solving"},"content":{"rendered":"

Envision Math 6th Grade Textbook Answer Key Topic 2.8 Problem Solving<\/h2>\n

Problem Solving<\/strong><\/p>\n

Make a Table<\/strong>
\nThe Douglas family had $700 in their road-trip fund. They spent $75 each day on their trip. If x equals the number of days, write an expression that describes the amount of money left in the fund after x days.
\n\"Envision<\/p>\n

Question.
\nMake a table to show the values of the expression for x = 3 days, x = 5 days, and x = 9 days.
\nAnswer:<\/p>\n

Guided Practice<\/strong><\/p>\n

Do you know HOW?<\/strong>
\nQuestion 1.
\nThe sixth-grade chess club is washing cars for a fund-raiser. They started with $150 in their fund and are charging $5 per car. Use the expression 150 + 5x to copy and complete the table, to find how much money the chess club will have after washing 25, 31, and 54 cars.
\n\"Envision
\nAnswer:<\/p>\n

Do you UNDERSTAND?<\/strong>
\nQuestion 2.
\nHow do you know what labels to use in a table?
\nAnswer:<\/p>\n

Question 3.
\nWrite a Problem Use the table to write a word problem that could be solved using the table below.
\n\"Envision
\nAnswer:<\/p>\n

Independent Practice<\/strong><\/p>\n

Question 4.
\nFor every A Josh earns on his report card, he is given 2 movie passes. He still has 2 movie passes left from his last report card. If x equals the number of A’s Josh earns, use the expression 2x + 2 to copy and complete the table to find how many movie passes Josh will have for 1,2, or 3 A’s.
\n\"Envision
\nAnswer:<\/p>\n

Plan and Solve<\/strong>
\nWrite an expression that describes the amount of money left in the fund after x days.
\n\"Envision
\nTotal in fund – $75(number of days)
\n700 – 75x<\/p>\n

Plan and Solve<\/strong>
\nMake a table to solve for different values of x. Include labels for the variable and the expression.
\nEnter the values of x you want to find. Then solve the expression for each value.
\n\"Envision<\/p>\n

Question 5.
\nKat is playing a game called “500.” Each player starts with 500 points and loses 10 points for each question answered correctly. The first player to reach 0 points wins. Which expression represents how many points Kat will have if she answers x questions correctly?
\nA. 500x
\nB. 500 – 10x
\nC. 500 + 10x
\nD. 10x – 500
\nAnswer:
\nB. 500 – 10x
\nExplanation:<\/p>\n

Question 6.
\nCopy and complete the table for Exercise 5 to find how many points Kat will have if she answers 9, 13, and 24 questions correctly.
\nAnswer:
\n\"Envision
\nExplanation:<\/p>\n

Question 7.
\nJordan is playing in a charity basketball game. The local barber pledged to pay $2 for every point he scores. The local grocery store will give a one-time donation of $75. Which expression represents how much money Jordan will raise if he scores x points?
\nA. 75 + 2x
\nB. 77x
\nC. 75 + 4x
\nD. 75 – 2x
\nAnswer:
\nA. 75 + 2x
\nExplanation:<\/p>\n

Question 8.
\nJeremy started a club to help senior citizens use computers. On the first day, he was the only member. On the second day, two friends joined. Each day after that, two more members joined. If x equals the number of days, evaluate the expression 1 + 2(x – 1) to find the membership of the club on the 10th day.
\nAnswer:
\n19 people
\nExplanation:<\/p>\n

Question 9.
\nThe camp chef is making waffles for breakfast. The recipe calls for 3 cups of milk for every batch. If x equals the number of batches, copy and complete the table to show how much milk the chef needs for 3, 7, and 10 batches.
\nAnswer:
\n\"Envision
\nExplanation:<\/p>\n

Independent Practice<\/strong><\/p>\n

Use the information at right for 10 through 14.
\n\"Envision
\nQuestion 10.
\nCarver bought some plants at the Garden Center sale. On his bill, he saw that he had paid $20 for 5 plants. What size did Carver buy?
\nAnswer:
\nHe bought 5 large plants.
\nExplanation:<\/p>\n

Question 11.
\nSally and her mother went to the sale at the Garden Center. Sally bought x large plants and y small plants. She paid with a twenty-dollar bill. Make a table using the expression 20 – (4x + 2y) to show how much change she received if she bought 2 large plants and 4 small plants; 4 large plants and 2 small plants; or 1 large plant and 7 small plants.
\nAnswer:
\nSee margin.
\nExplanation:<\/p>\n

Tips: Make a separate column for each variable.
\nQuestion 12.
\nElyse has a small flower garden in her backyard. She wants to plant seven rows of flowers. She drew a plan of her garden.
\n\"Envision
\na. If each row can hold 3 large plants, 4 medium plants, or 8 small plants, how many of each should Elyse buy?
\nAnswer:
\nSee margin.
\nExplanation:<\/p>\n

b. What will the total cost be for all of Elyse’s plants?
\nAnswer:
\n$100
\nExplanation:<\/p>\n

Question 13.
\nMaggie wants to plant a 10 ft row of large plants. A large plant needs 1.5 ft between plants. Maggie will put her first plant 0.5 ft in from the end. How much money will Maggie need to fill the row? Explain how you found your answer.
\nAnswer:
\n$28; sample answer; I drew a picture to show 7 plants.
\nExplanation:<\/p>\n

Question 14.
\nArt has $32. How many large plants could he buy? Medium plants? Small plants?
\nAnswer:
\n8 large; 10 medium; 16 small
\nExplanation:<\/p>\n

Think About the Process<\/strong>
\nQuestion 15.
\nWilliam and Anne are selling magazines. For each magazine sold, their soccer team raises $2.25. Which value completes this table?
\n\"Envision
\nA. 19.25
\nB. 382.5
\nC. 3825
\nD. 38.25
\nAnswer:
\nD. 38.25<\/p>\n

Question 16.
\nTanya has a job delivering newspapers. Every week, her customers pay her $1.50. She also receives an allowance of $5 a week. If Tanya has x newspaper clients, which expression best describes how much money Tanya receives each week?
\nA. 5x – 1.5
\nB. 5x + 1.5
\nC. 5 + 1.5x
\nD. 5 – 1.5x
\nAnswer:<\/p>\n

Stop and Practice<\/strong><\/p>\n

Skills Review Write each phrase as an algebraic expression.
\nQuestion 1.
\n7 less than a number x
\nAnswer:<\/p>\n

Question 2.
\n5 times a number p
\nAnswer:<\/p>\n

Question 3.
\n4 times a number m, minus 3 times a number k
\nAnswer:<\/p>\n

Question 4.
\n8 plus two times a number j
\nAnswer:<\/p>\n

Use the properties of operations to fill in the blanks in each expression.
\nQuestion 5.
\n28 \u00d7 5 = 5 \u00d7 \u2610
\nAnswer:<\/p>\n

Question 6.
\n12 \u00d7 25 \u00d7 32 = 12 \u00d7 \u2610 \u00d7 25 \u00d7 32
\nAnswer:<\/p>\n

Question 7.
\n7 + (30 + 15) = (7 + 30) + \u2610
\nAnswer:<\/p>\n

Question 8.
\n23 + 8 = 23 + 8 + \u2610
\nAnswer:<\/p>\n

Evaluate each expression for x = 3 and y = 5.
\nQuestion 9.
\n5x + 8
\nAnswer:<\/p>\n

Question 10.
\n(10 – y) (10)
\nAnswer:<\/p>\n

Question 11.
\n10y + 23
\nAnswer:<\/p>\n

Question 12.
\nWrite an algebraic expression for the value of y that explains the relationship between x and y. Then finish the table.
\n\"Envision
\nAnswer:<\/p>\n

Error Search Find each answer that is not correct. Write it correctly and explain the error.
\nQuestion 13.
\n8 + 2 \u00d7 6 = 60
\nAnswer:<\/p>\n

Question 14.
\n8 \u00d7 0 + (4 \u00d7 1) = 4
\nAnswer:<\/p>\n

Question 15.
\n4(24) = 4(6) + 4(4)
\nAnswer:<\/p>\n

Question 16.
\n32 + 73 = (30 + 70) + (2 + 3)
\nAnswer:<\/p>\n

Question 17.
\n58(40) = 50(40) \u00d7 8(40)
\nAnswer:<\/p>\n

Question 18.
\n4(51 + 32) = 4(80) + 4(3)
\nAnswer:<\/p>\n

Number Sense<\/strong><\/p>\n

Insert parentheses to make each sentence true.
\nQuestion 19.
\n3 \u00d7 8 + 3 \u00d7 2 = 66
\nAnswer:<\/p>\n

Question 20.
\n2 \u00d7 5 + 4 – 8 = 10
\nAnswer:<\/p>\n

Question 21.
\n15 – 2 \u00d7 3 + 52<\/sup> = 64
\nAnswer:<\/p>\n

Question 22.
\n4x – 5 = 4x – 20
\nAnswer:<\/p>\n

Question 23.
\n6 + 8 – 3 \u00d7 7 = 41
\nAnswer:<\/p>\n

Question 24.
\n4 + 4 \u00d7 3 + 5 = 29
\nAnswer:<\/p>\n

Question 25.
\n32<\/sup> – 8 \u00d7 0 = 9
\nAnswer:<\/p>\n

Question 26.
\n80 \u00f7 2 \u00d7 2 + 2 \u00d7 3 = 26
\nAnswer:<\/p>\n

Question 27.
\n25 – 10 + 3 \u00f7 2 + 4 = 3
\nAnswer:<\/p>\n","protected":false},"excerpt":{"rendered":"

Envision Math 6th Grade Textbook Answer Key Topic 2.8 Problem Solving Problem Solving Make a Table The Douglas family had $700 in their road-trip fund. They spent $75 each day on their trip. If x equals the number of days, write an expression that describes the amount of money left in the fund after x …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/985"}],"collection":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/comments?post=985"}],"version-history":[{"count":1,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/985\/revisions"}],"predecessor-version":[{"id":27055,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/985\/revisions\/27055"}],"wp:attachment":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/media?parent=985"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/categories?post=985"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/tags?post=985"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}