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Add and subtract integers: word problems

Read this word problem.\newlineThe overnight low temperature in Cassidy City was −17 ∘F-17 \, ^{\circ}\mathrm{F}. The overnight low temperature in Shakerville was −6 ∘F-6 \, ^{\circ}\mathrm{F}. How much warmer was Shakerville than Cassidy City?\newlineTo solve the problem, Manny subtracted −6−(−17)-6 - (-17) and came up with an answer of −11 ∘F-11 \, ^{\circ}\mathrm{F}. Is Manny correct? Why or why not?\newlineChoices:\newline(A) Yes, Manny is correct.\newline(B) No. The answer should have been 11 ∘F11 \, ^{\circ}\mathrm{F}, not −11 ∘F-11 \, ^{\circ}\mathrm{F}, because Shakerville was warmer.\newline(C) No. Manny should have added −17+−6-17 + -6 because Shakerville was warmer.
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Read this word problem.\newlineOvernight, the temperature in Mayville was −4 ∘F-4 \, ^{\circ}\mathrm{F}. But by the following afternoon, the temperature had risen 11 ∘F11 \, ^{\circ}\mathrm{F}. What was the temperature in Mayville that afternoon?\newlineTo solve the problem, Rose added −4+11-4 + 11 and came up with an answer of 7 ∘F7 \, ^{\circ}\mathrm{F}. Is Rose correct? Why or why not?\newlineChoices:\newline(A) Yes, Rose is correct.\newline(B) No. The answer should have been −7 ∘F-7 \, ^{\circ}\mathrm{F}, not 7 ∘F7 \, ^{\circ}\mathrm{F}, because a negative plus a positive is always a negative.\newline(C) No. The answer should have been 15 ∘F15 \, ^{\circ}\mathrm{F}, because the sum of the absolute values of −4-4 and 1111 is 1515.
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Read this word problem.\newlineOn a cold February morning, Colton checked the temperature on his phone and saw that it was −3 ∘C-3 \, ^{\circ}\mathrm{C}. When he checked again after school, the temperature had dropped 3 ∘C3 \, ^{\circ}\mathrm{C}. What was the temperature after school?\newlineTo solve the problem, Ellen subtracted −3−(−3)-3 - (-3) and came up with an answer of 0 ∘C0 \, ^{\circ}\mathrm{C}. Is Ellen correct? Why or why not?\newline\newlineChoices:\newline(A) Yes, Ellen is correct.\newline(B) No. Ellen should have added −3+3-3 + 3 because she needed to add the starting temperature and the change in temperature.\newline(C) No. Ellen should have subtracted −3−3-3 - 3 because the temperature started at −3 ∘C-3 \, ^{\circ}\mathrm{C} and dropped 3 ∘C3 \, ^{\circ}\mathrm{C}.
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Read this word problem.\newlineIn the morning, the temperature in Westfield City was −2 ∘F-2 \, ^{\circ}\mathrm{F}. By afternoon, a north wind caused the temperature to drop another 8 ∘F8 \, ^{\circ}\mathrm{F}. What was the afternoon temperature in Westfield City?\newlineTo solve the problem, Martin subtracted −2−(−8)-2 - (-8) and came up with an answer of 6 ∘F6 \, ^{\circ}\mathrm{F}. Is Martin correct? Why or why not?\newlineChoices:\newline(A) Yes, Martin is correct.\newline(B) No. The answer should have been −6 ∘F-6 \, ^{\circ}\mathrm{F}, not 6 ∘F6 \, ^{\circ}\mathrm{F}, because the temperature dropped.\newline(C) No. Martin should have subtracted −2−8-2 - 8 because the temperature started at −2 ∘F-2 \, ^{\circ}\mathrm{F} and dropped by 8 ∘F8 \, ^{\circ}\mathrm{F}.
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Read this word problem.\newline\newlineCamilla was swimming along the bottom of her backyard pool at a depth of 66 feet. Then, she pushed off the bottom and rose 44 feet. What is Camilla's position now relative to the surface of the pool?\newlineTo solve the problem, Jordan added −6+4-6 + 4 and came up with an answer of 22 feet. Is Jordan correct? Why or why not?\newline\newlineChoices:\newline(A)Yes, Jordan is correct.\newline(B)No. The answer should have been −2-2 feet, not 22 feet. She is underwater, so her position relative to the surface of the pool is negative.\newline(C)No. The answer should have been −10-10 feet, because the sum of the absolute values of −6-6 and 44 is 1010. The answer has to be negative because the sign of the number with the larger absolute value is negative.\newline
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Read this word problem.\newlineIn the morning, the temperature was −10 ∘C-10 \, ^{\circ}\mathrm{C}. By the afternoon, it had risen to −2 ∘C-2 \, ^{\circ}\mathrm{C}. What was the change in temperature from the morning to the afternoon?\newlineTo solve the problem, Luke subtracted −2−(−10)-2 - (-10) and came up with an answer of 8 ∘C8 \, ^{\circ}\mathrm{C}. Is Luke correct? Why or why not?\newlineChoices:\newline(A) Yes, Luke is correct.\newline(B) No. The answer should have been −8 ∘C-8 \, ^{\circ}\mathrm{C}, not 8 ∘C8 \, ^{\circ}\mathrm{C}, because the temperature is still negative.\newline(C) No. Luke should have added −10+(−2)-10 + (-2) because the temperature rose.
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Read this word problem.\newlineThe afternoon temperature in Biscoff Bay was −2 ∘F-2 \, ^{\circ}\mathrm{F}. By midnight, a warm front moved in and the temperature rose to 11 ∘F11 \, ^{\circ}\mathrm{F}. What was the change in temperature from afternoon to midnight?\newlineTo solve the problem, Ross subtracted 11−(−2)11 - (-2) and came up with an answer of 13 ∘F13 \, ^{\circ}\mathrm{F}. Is Ross correct? Why or why not?\newlineChoices:\newline(A) Yes, Ross is correct.\newline(B) No. The answer should have been 9 ∘F9 \, ^{\circ}\mathrm{F}, not 13 ∘F13 \, ^{\circ}\mathrm{F}, because the difference between 1111 and 22 is 99.\newline(C) No. Ross should have added −2+11-2 + 11 because the temperature rose.
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Read this word problem.\newlineThe temperature on February 22 in Lake City was 14 ∘F14 \, ^{\circ}\mathrm{F}. The temperature in Ellenville the same day was −6 ∘F-6 \, ^{\circ}\mathrm{F}. How much warmer was it in Lake City than in Ellenville?\newlineTo solve the problem, Gabby subtracted 14−(−6)14 - (-6) and came up with an answer of 8 ∘F8 \, ^{\circ}\mathrm{F}. Is Gabby correct? Why or why not?\newlineChoices:\newline(A) Yes, Gabby is correct.\newline(B) No. The answer should have been 20 ∘F20 \, ^{\circ}\mathrm{F}, not 8 ∘F8 \, ^{\circ}\mathrm{F}, because subtracting a negative number is the same as adding its opposite.\newline(C) No. Gabby should have added −6+14-6 + 14 because the temperature in Lake City was warmer.
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Read this word problem.\newlineConnor is playing a card game called At Face Value. At the end of each round, players earn positive points for their remaining number cards but negative points for their face cards. At the end of round 11, Connor earns −5-5 points. At the end of round 22, he earns −6-6 points. What is Connor's score now?\newlineTo solve the problem, Michael added −5+(−6)-5 + (-6) and came up with an answer of −11-11 points. Is Michael correct? Why or why not?\newlineChoices:\newline(A)Yes, Michael is correct.\newline(B)No. The answer should have been 1111 points, not −11-11 points, because a total is always positive.\newline(C)No. Michael should have subtracted −5−(−6)-5 - (-6) because the points Connor earned were negative.
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Read this word problem.\newlineIn science class, Antonio started an experiment using a solution with a temperature of −5 ∘C-5 \, ^{\circ}\mathrm{C}. During the experiment, the change in the solution's temperature was −4 ∘C-4 \, ^{\circ}\mathrm{C}. What was the final temperature of Antonio's solution?\newlineTo solve the problem, Antonio added −5+(−4)-5 + (-4) and came up with an answer of −9 ∘C-9 \, ^{\circ}\mathrm{C}. Is Antonio correct? Why or why not?\newlineChoices:\newline(A) Yes, Antonio is correct.\newline(B) No. The answer should have been 9 ∘C9 \, ^{\circ}\mathrm{C}, not −9 ∘C-9 \, ^{\circ}\mathrm{C}, because a negative plus a negative is always a positive.\newline(C) No. Antonio should have subtracted −5−(−4)-5 - (-4) because the temperature dropped.
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Cever I Portal\newlineDeltaMath Student Application\newlineC\newlineค\newlinedeltamath.com/app/student/29634902963490/2323750423237504/a8371629183716291c11a7979c99419941bb538538b22f44cf7777\newlineTo. Managed bookmarke\newlineDeltaMath\newlineEvaluate Expressions\newlinelarr Back to Home\newlineScore: \newline00//1010\newlinePenalty: none\newlineEvaluate Expressions\newlineDue: April 1515 at 1111:5959 PM\newlineGrade: 00 :\newlineQuestion\newlineShow Examples\newlineWhat is the value of the expression below when \newliney=2y=2 ?\newline9y2+6y−59y^{2}+6y-5\newlineAnswer Attempt 22 out of 22\newlineCalculator \newline◻\newlineSubmit Answer\newlinePedro Teiveira\newlineLog Out\newlineType here to search
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Mary is making a decorative yard space with dimensions as shaded in green ( △OAB) \triangle \mathrm{OAB}) .\newlineMary would like to cover the yard space with artificial turf (plastic grass-like rug).\newlineMary reasoned that she could draw a rectangle around the figure so that the point O O was at a vertex of the rectangle and that points A A and B B were on sides of the rectangle. Then she reasoned that the three smaller triangles resulting could be subtracted from the area of the rectangle. Mary determined that she would need 2828 square meters of artificial turf to cover the green shaded yard space pictured exactly.\newlineIs Mary's reasoning and claim correct? What is the correct evidence?\newlineBe sure to have all three parts of a CER answer: make a claim, provide evidence, and explain your reasoning for full credit.
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