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# Algebra1 Item #78

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Here's a sample Algebra multiple choice item...

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### Algebra1 Item #78

1. 1. Algebra 1 - Item #78 <ul><li>If six men can do the job in 5 days, in how many days can four men finish the same job? </li></ul><ul><li>A. 3.3 C. 7.5 </li></ul><ul><li>B. 4.8 D. 8 </li></ul>www.upcatreview.com
2. 2. <ul><li>So you forgot the formula… </li></ul>www.upcatreview.com
3. 3. <ul><li>So you forgot the formula… </li></ul><ul><li>SO WHAT?! </li></ul>www.upcatreview.com
4. 4. <ul><li>Just follow these tips... </li></ul><ul><li>(a few simple steps to help you get away with multiple choice questions) </li></ul>www.upcatreview.com
5. 5. Tip #31 – Remove Extremes <ul><li>For numerical items, remove the extremes (choices with the highest and lowest value) and choose from the middle values. </li></ul>www.upcatreview.com
6. 6. This tip should only be used when you have no idea on how to solve the problem. www.upcatreview.com
7. 7. Algebra 1 - Item #78 <ul><li>If six men can do the job in 5 days, in how many days can four men finish the same job? </li></ul><ul><li>A. 3.3 C. 7.5 </li></ul><ul><li>B. 4.8 D. 8 </li></ul>www.upcatreview.com
8. 8. <ul><li>You are now left with two choices... </li></ul><ul><li>(it’s easier to guess now :) </li></ul>www.upcatreview.com
9. 9. <ul><li>Thinking logically, if 6 men can do the job in 5 days… </li></ul><ul><li>It would take MORE than 5 days for 4 men to do the job. </li></ul><ul><li>(the less men to do the job, the longer time it takes to finish a job) </li></ul>www.upcatreview.com
10. 10. <ul><li>So we eliminate the choice that is less than 5 days… </li></ul><ul><li>That is… choice B. 4.8 </li></ul>www.upcatreview.com
11. 11. Algebra 1 - Item #78 <ul><li>If six men can do the job in 5 days, in how many days can four men finish the same job? </li></ul><ul><li>A. 3.3 C. 7.5 </li></ul><ul><li>B. 4.8 D. 8 </li></ul>www.upcatreview.com
12. 12. <ul><li>The final answer is… </li></ul><ul><li>C. 7.5 </li></ul>www.upcatreview.com
13. 13. <ul><li>The solution: </li></ul><ul><li>Let d – number of days needed to finish the job </li></ul><ul><li>m – number of men needed to finish the job </li></ul><ul><li>k – the variation constant (in men  days ) </li></ul>Answer: 15/2 or 7.5 days www.upcatreview.com