I am choosing an integer. I then subtract 10 from the integer, take the opposite of the result, add -3, and find the opposite of the new result. My result is - 3. a) What is the original number? b) Judy wants to do the activity with her classmates. Each classmate probably chooses a different number and Judy wants to tell each classmate quickly what number was chosen. Judy figures out that the only thing she needs to do is to add 7 to each answer she gets. Does this always work? Explain why or why not. The original number is Will adding 7 to each answer always result in the original number? Explain. OA. Yes, let x be the number and a be the answer. Then the following is true. -[-(x+10) +- 3] = a -[-x+10+ -3] = a -(-x+ 7) = a x+ -7 = a x = a +7 OB. No, let x be the number and a be the answer. Then the following is true. -[-(x+10)+ - 3] = a -[-x+10+3] = a -(-x+13)=a x+13=a x=a + 13

I am choosing an integer. I then subtract 10 from the integer, take the opposite of the result, add -3, and find the opposite of the new result. My result is - 3. a) What is the original number? b) Judy wants to do the activity with her classmates. Each classmate probably chooses a different number and Judy wants to tell each classmate quickly what number was chosen. Judy figures out that the only thing she needs to do is to add 7 to each answer she gets. Does this always work? Explain why or why not. The original number is Will adding 7 to each answer always result in the original number? Explain. OA. Yes, let x be the number and a be the answer. Then the following is true. -[-(x+10) +- 3] = a -[-x+10+ -3] = a -(-x+ 7) = a x+ -7 = a x = a +7 OB. No, let x be the number and a be the answer. Then the following is true. -[-(x+10)+ - 3] = a -[-x+10+3] = a -(-x+13)=a x+13=a x=a + 13

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

I am choosing an integer. I then subtract 10 from the integer, take the opposite of the result, add -3, and find the opposite of the new result. My result is - 3.
a) What is the original number?
b) Judy wants to do the activity with her classmates. Each classmate probably chooses a
different number and Judy wants to tell each classmate quickly what number was chosen.
Judy figures out that the only thing she needs to do is to add 7 to each answer she gets.
Does this always work? Explain why or why not.
The original number is
Will adding 7 to each answer always result in the original number? Explain.
O A. Yes, let x be the number and a be the answer. Then the following is true.
-[-(x + −10) + −3] = a
-[-x+ 10 + −3] = a
-(-x + 7) = a
x +
7 = a
x = a +7
B. No, let x be the number and a be the answer. Then the following is true.
-[-(x+10)+ - 3] = a
-[-x + 10 +3] = a
-(-x+13) = a
x+13=a
x = a + 13

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