A student solves the following problem: Problem: 2(x − 3) + 3x = 19 Step 1: 2a-6 + 3x = 19 Step 2: 6x6 = 19 Step 3: 6a-6 + 6 = 19 + 6 Step 4: 6x 6x Step5: 뜸 = 25 || = Step 6: 4.17 Where is the mistake? What did the student do incorrectly? Step 3: Student should have subtracted 6 from both sides, not added 6. Step 2: Student should have added 2x + 3x = 5x, not 2 x 3 = 6x Step 1: Student should have only distributed the 2 to the x and not the x & 3. O Step 5: Student should have subtracted 6 from both sides, not divided by 6
A student solves the following problem: Problem: 2(x − 3) + 3x = 19 Step 1: 2a-6 + 3x = 19 Step 2: 6x6 = 19 Step 3: 6a-6 + 6 = 19 + 6 Step 4: 6x 6x Step5: 뜸 = 25 || = Step 6: 4.17 Where is the mistake? What did the student do incorrectly? Step 3: Student should have subtracted 6 from both sides, not added 6. Step 2: Student should have added 2x + 3x = 5x, not 2 x 3 = 6x Step 1: Student should have only distributed the 2 to the x and not the x & 3. O Step 5: Student should have subtracted 6 from both sides, not divided by 6
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,...
Related questions
Question
![A student solves the following problem:
Problem: 2(x − 3) + 3x = 19
Step 1:
2x − 6 + 3x = 19
Step 2:
6x - 6 = 19
Step 3:
6x − 6 + 6 = 19 + 6
Step 4:
6x = 25
Step 5: 6 = 25
Step 6:
4.17
Where is the mistake? What did the student do incorrectly?
O Step 3: Student should have subtracted 6 from both sides, not added 6.
O Step 2: Student should have added 2x + 3x = 5x, not 2 x 3 = 6x
Step 1: Student should have only distributed the 2 to the x and not the x & 3.
Step 5: Student should have subtracted 6 from both sides, not divided by 6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe980cf75-7bcb-4838-9990-7889cf2964d2%2F67470af6-3d9b-405f-99e5-191e08b53617%2F925cr97_processed.png&w=3840&q=75)
Transcribed Image Text:A student solves the following problem:
Problem: 2(x − 3) + 3x = 19
Step 1:
2x − 6 + 3x = 19
Step 2:
6x - 6 = 19
Step 3:
6x − 6 + 6 = 19 + 6
Step 4:
6x = 25
Step 5: 6 = 25
Step 6:
4.17
Where is the mistake? What did the student do incorrectly?
O Step 3: Student should have subtracted 6 from both sides, not added 6.
O Step 2: Student should have added 2x + 3x = 5x, not 2 x 3 = 6x
Step 1: Student should have only distributed the 2 to the x and not the x & 3.
Step 5: Student should have subtracted 6 from both sides, not divided by 6
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