9
practice testMultiple Choice

Practice Test

Question 9 • Grade 7 Mathematics

Michael is on page 28 of a 315 -page book. He must finish the book within the next 14 days. He solved the inequality 28 plus 14 p is less than or equal to 315 to find the minimum number of pages he must read per day to finish the book on time. What error did Michael make when he wrote this inequality to model the situation?

Answer
A
He did not recognize that 315 is not a multiple of 14 and should have solved 28 plus 14 p is less than 315 .
B
He did not use the correct value as the coefficient of p and should have solved 14 plus 28 p is less than or equal to 315 .
C
He did not make the variable the minimum number of pages and should have solved 28 plus 14 p is greater than or equal to 315 .
D
He did not account correctly for the 28 pages already read and should have solved 14 p is less than or equal to 315 plus 28 .

Explanation

If p is the number of pages Michael reads each day, then after 14 days he will have read 28 + 14p pages. To finish the 315-page book, that total must be at least 315, so the inequality should be 28 + 14p ≥ 315. Michael used ≤, which would allow a total below the number of pages in the book. The correct choice is C: he should have used greater than or equal to.

AI-written and checked against the verified answer.

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