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Name __________________________________________ Math 130A – Exam I – - Sept. 22, 2004 1. Identify each of the following sets with its corresponding name. a) {0, 1, 2,3, 4, .... } → the set of ___________________________ b) { .... – 3, - 2, - 1, 0, 1, 2, 3, ... } → the set of ____________________ 2. Identify the property that is being used (complete name). a) 3 • 2 = 2 • 3 → the _____________________ property of _______________ b) ( ab ) c = a ( bc ) → the ____________________________ 3. True or False _____________ a) a + c = c + a, because of the commutative property of multiplication ____________ c) 0 represents the smallest natural (counting)number ____________ b) -4 ≤ 6 is never true ___________ d) -(- 4 )2 = 16 ______________ e) all counting (natural) numbers are positive ______________ f) 0 ÷ a = 0 _______________ g) putting your left shoe, right shoe is commutative 4. Estimate the following ( as done in HW and in class). a) 9497 - 809 → _____________ b) 371 • 46 → ________________ 5. Evaluate the following expressions if a = - 4 and b = - 3 . Write in simplest form. a) ab - b = ___________ b) a2 - b2 = ________________ a+b c) ------------ = ___________ a -b 6. Write in words. ( from standard form to word ) 107,003 → __________________________________________ 7. Write in standard form. One million forty thousand one hundred two → _______________ 1 8. Perform the given operation and simplify to one term. a) 2448 ÷ ( - 24 ) = ________________ b) 4 – 2 • 3 + 8 ÷ 2 = _______________ c) - | - 226 | + d) | - 412 | = ___________ - 502 • ( 23 ) = ______________ 9. Answer each of the following a) Find the cube of 6. _____________ b) Find the prime factorization of 80 in exponential form. _______________ 10. Find the GCF of 24 and 16 and the LCM of 24 and 16 GCF ( 24, 16 ) = ____________ 11. What is the opposite of LCM(24, 16 ) = ____________ - | - 12 | → __________ 12. Simplify the following by performing the operations in the proper order. a) -22 - 1 • 04 = _________ c) 6 - 6 • 15 ÷ 32 = _____________ b) 4 ÷ 20 + 0 ÷ 4 + 22 = ________ d) 4 – 2 [ 3 + 2 ( 2 - - 7 ) ] = _________ 2 13. Find the solution of each of the following equations. a) x + 254 = - 25 → x = __________ 14. What is x ÷ 0 = ____________ b) 23 – x = 12 → x = _________ 0 • x = ____________ 1 • x = ________ x • ( - 1/x) = ________ 15. 242 pairs of shoes are needed. A box can hold 12 pairs of shoes. How many boxes must be ordered so that you will have the required number of shoes? 16. The parents of a child are hosting a bday party. If 14 children are expected to attend and each one will drink 20 oz. of lemonade, then how much lemonade should be made ? ___________ 17. Albert was born on March 14, 1979. He died on April 18, 2003. How old was he when he died ? __________ 18. As a sales representative you have a goal to sell $200,000 in merchandise. You have sold $ 42,000 during the first quarter, $38,400 during the second quarter, $ 62,000 during the third quarter. How much must you sell during the 4th quarter of the year to reach your goal ? ___________ 19. Write the following fraction as a mixed number. 39 / 5 = ____________ Write the following mixed number as an improper fraction 4 2/3 = ____________ 3 20. What fraction is being represented below – shaded portions ( assume they are equal in size ) ? ____________ 21. Find ( leave fraction in proper or mixed form ). This question is not valid for the spring 2005 semester a) 1 - 4 1/3 = _________ b) 4 • 2 ½ = ___________ c) d) 3/11 ÷ 12/33 = ___________ 3 ½ • 4 1/3 = _________ e) - 2 ½ - ( - 3 ¼ ) = _________ f) 4 ½ - ( - 2 1/3 ) = _______ 22. Reduce each fraction 24 = _____________ 240 32 = _____________ 60 23. Write an equivalent fraction to 5 = 12 48 3 21 = 100 4