MA201 Test 1 - 2/10/09Name:Section:Directions:Please print your name clearly. This is a 50 minute exam and is worth 15% of your final grade. There are100 points possible. Calculators may not be used on this exam. Good luck!Problem Points possible Points earned1 162 103 154 105 86 107 88 89 610 9Total 10011. Please list the Principles and Standards for School Mathematics of the National Council of Teachersof Mathematics (from the back cover of your book).(a) (6 pts.) Principles for School Mathematics(b) (5 pts.) The Content Standards(c) (5 pts.) The Process Standards22. Let the natural numbers, N, be the universe. Let A = {2, 4, 6, 8, 10, 12, 14, 16, 20} and B = {x|x = 4n}.(a) (3 pts.) Write A in set builder notation.(b) (2 pts.)What is A ∩ B? (you may write the set in list notation)(c) (5 pts.) Suppose , for two sets C and D, that C ⊆ D. What is C ∪D? Explain using full sentences.You may draw a picture.33. Fifty people we re surveyed. 23 pe ople owned a dog, 18 owned a cat, and 11 owned a hampster. 5owned a dog and a cat, 4 owned a dog and a hampster, and 3 owned a cat and a hampster. Only 1owned all three.(a) (10 pts.) Draw a Venn diagram that shows these results. Make sure you label your sets c learly.(b) (3 pts.) How many people own only one pet?(c) (2 pts.) How m any people do not have a pe t?44. Explain, using full sentences, how you could use manipulatives (like the colored rods of different lengths)to demonstrate the following properties: (you may also draw pictures if it helps)(a) (5 pts.) the associative property of addition.(b) (5 pts.) the commutative property of addition.55. (8 pts.) Use the rectangular array method of multiplication to show that (x + 3)2= x2+ 3x + 3x + 9.66. (a) (5 pts.) Write 231fivein base 10.(b) (5 pts.) Write the decimal (base 10) number 47 in base 2.77. (8 pts.) Use mats, strips, and units to model the addition 145 + 256. Explain any exchanges made.88. (8 pts.) Use the scaffold algorithm to pe rform the division 1196 ÷ 23.99. Determine whether the following s tateme nts are true or false.(a) (2 pts.) For any whole number a,a0= 0.(b) (2 pts.) For any non-zero whole number a, a0= 0.(c) (2 pts.) The set {2, 4, 6, 8, 10, 12, 14, . . .} is closed under addition.10. Use a number line to model the following operations.(a) (3 pts.) 5 + 4(b) (3 pts.) 9 − 4(c) (3 pts.) 5 ·
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