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Algebra for Teachers MATH 3803 (Hawkins) Exam I: Chapter One Name ____________________ Questions are 3 points each. Show your work! True / False: 1. – x represents a negative number. 2. Every whole number is a rational number. 3. Multiplication is repeated addition Answer the following: 4. Evaluate the expression for the given substitution. 5 7 12d when d 6 5. Write the product using exponents: 4 x x x x x y y Perform the following operations: 1527 6. Add: 8. Multiply: 393 Subtract: 125 9. Divide: 123 12 148 72 280 7. 1 Answer the following: 10. 11. Consider the set of numbers: 3 1 2, 6, 7 , 0, , 1.47, , 3 , 11 5 a) List the elements of Integers b) List the elements of Rational Numbers Use the order of operations to simplify the expression: 7 10 2 4 6 Simplify the following: 12. 23 (21) 13. (((27))) Perform the following operations: 14. 2 1 5 5 15. 2 1 3 4 16. 1 6 3 7 17. 8 1 2 2 Answer the following: 83 41 18. Show two different methods (non-traditional) to add: 19. Show two different methods (non-traditional) to multiply: 83 41 20. Why are colored tiles or base ten tiles useful in arithmetic? 3 Answer the following: 21. Find the area and perimeter of the figure shown: 22. Find the area of the irregular shape 23. List the order of operations and discuss why they are important. 4 Multiple Choice: 24. Arrange the following numbers in the order you would place them on a number line, going from left to right. 6, –3, 5, –8, –10 a. 6, 5, –3, –8, –10 b. –3, –8, –10, 5, 6 c. –3, 5, 6, –8, –10 d. –10, –8, –3, 5, 6 25. Simplify: a. b. c. d. 5(2) 4(1) 25 4 2 –2 –4 26. (-6) - (-4) = a. -10 b. 10 c. -2 d. 2 27. Simplify |-13| - |5|. a. 8 b. -8 c. -18 d. 18 28. Which symbol makes the expression -15 ___ -14 true? a. = b. < c. > d. x 29. Samantha used 120 yards of fencing to enclose a rectangular horse corral. If she uses the 30-yard wall of the stable as one side, what is the area enclosed by the fence? a. 900 yd2 b. 2025 yd2 c. 1350 yd2 d. 1800 yd2 30. Evaluate the following: a. b. c. d. 1 2 3 4 5 2 3 4 5 6 1 16 17 27 13 18 7 9 5 Multiple Choice: 31. Four students about to purchase concert tickets for $18.50 for each ticket discover that they may purchase a block of 5 tickets for $80.00. How much would each of the 4 save if they can get a fifth person to join them and the 5 people equally divide the price of the 5-ticket block? a. $ 1.50 b. $ 2.50 c. $ 3.13 d. $ 10.00 32. Which is an irrational number? a. 5 1 b. 2 c. -3 d. 0 33. Simplify: a. b. c. d. 2 4 28 22 216 210 26 2 Bonus (3 points) A farmer left his L-shape farm to his four daughters. Divide the property into four pieces so that each piece is exactly the same size and shape. 1 km 1 km 1 km 2 km 1 km 2 km 6