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Unformatted text preview: Spring 2007
Instr: Paul Terwilliger Section 2
Math 130 Final Exam Your Name , NO CALCULATORS ALLOWED. Show all your work. CLEAR AND APPROPRIATE
EXPLANATIONS COUNT FOR JUST AS MUCH AS THE CORRECT NUMERICAL
ANSWER. 1. Compute .39105.3 by long division. Show all your steps. 2. Identify the arithmetic property being used (commutative law etc).
a) 7 x 5 = 5 x 7 b) 3.+‘(5+2)=(3+5)+2 c)3><(8><6)=(3><8)><6 d) (7x5)+(2><5)=(7+2)x5 3.
(a) Is the expression 3 —2— 0 deﬁned or not? Explain. (b) Is the expression 0 —2— 3 deﬁned or not? Explain. (c) Is the expression 0 + 0 deﬁned or not? Explain. 4. 5/6 of a gallon of gasoline ﬁlled only 3/7 of a lawn tractor’s gas tank. How many gallons
of gas does the tractor’s gas tank hold? Explain your solution using a diagram and the meaning of fractions. 5. Write a “how many in one group” story problem for 1/2 ~:— 3/4. 6. Order the fractions 4/9, 3/7, 7/16 in increasing order. 7. The line segment below has length 3 / 4 unit. By subdividing the line segment and possibly
adding pieces, create a line segment of length 2/3 unit. 8. 2/3 of a wall is painted red. 1/4 of the remaining part is painted grey. What fraction
of the wall is left unpainted? Explain your solution using a diagram and the meaning of fractions. 9. June made a light blue paint by mixing 3 cups of blue paint with 2 cups of White paint.
Sam poured another 1/2 cup of White paint into June’s paint mixture. How many cups of
blue paint should June add to bring the paint back to its original shade of blue? 10. The number of men is 5/8 of the number of women working in a factory. If there are 24
more women than men, how many workers are there altogether? Explain your answer using
a diagram and the meaning of fractions. \1 11. 4 / 5 of Peter’s money is twice as much as Weimin’s money. What fraction of Peter’s money
is Weimin’s money? Explain your answer using a diagram and the meaning of fractions. 12. Use the partial products algorithm to calculate 32 X 24. Illustrate the meaning of this
algorithm using a rectangular array diagram. ' 13. Describe a way to solve 25 x 48 mentally, by using reasoning other than the standard
multiplication algorithm. Then write a coherent sequence of equations that correspond to your reasoning. 10 14. How many cubic feet of mulch will you need to cover a garden that is 10 feet Wide by 4
yards long with 2 inches of mulch? 11 15. Kristen spends 30% of her savings on a watch and 60% of the remainder on a dress.
What percentage of her savings is left? 12 16. A factory has 600 workers. 250 of them are men and the rest are women. How many
percent more women than men are there? Explain your solution using a diagram and the meaning of percent. 13 17. Compute 4/5  2/3 and express the result as a fraction. Explain why your method is
valid using the number line below. ' 14 18. What is the smallest integer N that has the following two properties? N is larger
than 2; (ii) we get a remainder of 2 when we divide N by any of 3, 4, 5, 7. 15 19. Susan made some punch by mixing 1/2 of a cup of grape juice with 1/4 cup of sparkling
water. She liked the punch so she decided to make a larger batch. To make 8 cups of punch,
how much grape juice and how much sparkling water should she use? 16 20. 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? Explain your
solution using a diagram and the meaning of fractions. 17 ...
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 Spring '07
 TERWILLIGER
 Division, Remainder, Meaning of life, Line segment

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