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Name ____________________________ Test 3 DM 0084 Ch. 11 Part I. Problems 1 - 20 are worth 3 points each. Put your answer in the box. Only the answer in the box will be graded. Answers should contain positive exponents only. Be careful. 1. Evaluate 24 2. Rewrite 4 9 with a positive exponent. Do not evaluate with a calculator. 3. Evaluate e 3 2 1I F J G H3K 3 4. Evaluate 5. Simplify: (a8)(a3) 6. Simplify: (y2)(y9)(y-5) 7. Simplify: x4 x7 8. Simplify: (y3)4 F y I G Hy JK 3 9. Simplify: 2 8 10. Perform the multiplication: 3y2(2y - 3) 11. Simplify (106 ) (10-10) 12. Evaluate: 6.42 103 13. Change to scientific notation: .0000000475 14. Change to an “ordinary” number: 3.45 x 107 15. Multiply: (7.2 x 1012)(3.9 x 10-2). Give answer in scientific notation. 16. Solve for x: 2x = 32 17. Solve for y: 3y - 2 = 27 18. Evaluate to the thousandths place: log 25 19. Evaluate to the thousandths place: 3 e1.2 d3 5i 20. Evaluate to the thousandths place: ln Part II. Give complete solutions to problems 21 - 26. Show all your work if you want to receive any partial credit. 21. (8 pts) Suppose there are 6.023 x 1023 molecules in one gram of water. How many molecules are in a beaker containing 10.5 grams of water? Leave answer in scientific notation. 22. (8 pts.) Jim-Bob invested $3500 at 6.5% compounded quarterly (4 times per year). How much was the accumulated amount after 7 years? You may use the formula A = P(1 + r/n)nt 23. (8 pts.) The number of grams of a chemical that will dissolve in a solution is given by the formula C = 100e0.02t where t is the temperature in degrees Celsius. Evaluate when t = 20. 24. (8 pts.) Simplify: 6 x 4 10 x 3 12 x 2 4x 25. (8 pts.) Solve for x: 3x 2 1 243 26. (8 pt. bonus) Solve the equation: 92x = 729