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130-terwilliger-06fafin

# 130-terwilliger-06fafin - Fall 2006 Instr Paul Terwilliger...

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Unformatted text preview: Fall 2006 Instr: Paul Terwilliger Section 2 Math 130 Final Exam Your Name N O CALCULATORS ALLOWED. Show all your work. 1. Compute 2/7 divided by 6/5. Express the result as a. fraction in lowest terms. 2. Explain why division by O is undeﬁned. There are two cases to consider. 3. Identify the arithmetic property being used (commutative law etc). a) 7 x 5 = 5 x 7 b) 6 + 0 = 6 c) 3+(5+2) =(3+5)+2 d) 3+4: 1-(3+‘4) e) 3(8x 6) = (3x8)6 f)(7x5)+(2x5)=-(7+2)x5 4. Find the greatest common factor of 8049 and 2743. [O 5. Determine Whether 2899 is prime. 6. Order the fractions 5/9, 4/ 7, 9/16 in increasing order. 2n(3\$)2n "(3y)n+m .,(\$2y)3m 7. Simplify the expression {Bxyzwdsnwnyyn as much as possible. 8. Draw a rectangular array model for the problem 32 + ‘6. 9. Make up a word problem for 45 —2— 9, using the partative interpretation of division. 10. (Teacher’s solution required) The number of men is 5/8 of the number of women working in a factory. If there are 24 more women than men7 how many workers are there altogether? 11. (Teacher’s solution required) 4 / 5 0f Peter’s money is twice as much as Weimin’s money. What fraction of Peter’s money is_\Neimin’s money? KY 12. (Teacher’s solution require-d) Two numbers are in the ratio of 3:5. After subtracting 11 from each, the new ratio is 2:7. What are the two numbers? 13. (Teacher’s solution required) The ratio of Ian’s money to Juan’s money is 2:3. After spending one half of his money, Juan has \$60 less than Ian. How much money did Ian have? 14. (Teacher’s solution required) John and Mathew had an equal amount of money each. After John spent \$25 and Mathew spent \$18, the ratio of John’s money to Mathew’s money was 2:3. How much money did each boy have at ﬁrst? 10- 15. (Teacher’s solution required) Kristen spends 30% of her savings on a watch and 60% of the remainder on a dress. What percentage of her savings is left? 11 16. (Teacher’s solution required) A factory has 600 Workers. 250 of them are men and the rest are women. How many percent more women than men are there? 12 17. (Teacher’s solution required) It takes one factory 6 minutes to ﬁll 50 bottles, While it takes a slower factory 9 minutes to ﬁll 50 bottles. If both factories are working at the same time, how long will it take to ﬁll 1500 bottles? 13 18. (Teacher’s solution required) A motorist took 4 hours to travel from town A to town B. His average speed for the Whole trip was 60 km/h. For the ﬁrst 4/5 of the distance he traveled at an average speed of 64 km/ h. Find his average speed for the remaining trip. 14 19. (Teacher’s solution required) Brian drove from Town P to Town Q. [He traveled the ﬁrst 36 km at an average speed of 54 km / h. He traveled the remaining 96 km at an average speed of 72 km/ h. Find his average speed for the whohe trip. 15 20. (Teacher’s solution required) A tank is 2/7 ﬁlled with water. It can hold another 35 gal of water. After 21 gal of water is added to the tank, now What fraction of the tank is ﬁlled with water? 16 ...
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