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Pre-Algebra Chapter 9 Practice Quiz Name ______________________ Period _____ Evaluate the expression. 1. 2. A photo cube for displaying pictures has a volume of 20 cubic centimeters. How many cubic centimeters of space are taken up by 20 photo cubes on a display shelf? 3. 4. 5. 6. 7. Simplify the expression. 8. 9. 10. 11. 12. Simplify the expression. Write your answer as a power. 13. 14. Simplify the expression. Write your answer as a power. 15. 16. 17. Write the product using exponents. 18. 19. 20. What is the value of x? Explain. 21. Is x4x6 equivalent to x10? Explain. If not, what expression is equivalent? 22. A blizzard drops 40 inches of snow in one day. At the end of each of the next three days, the depth of the snow is of the depth of the previous day. Write an expression for the depth of the snow after the third day of melting. What was the depth (in inches)? Round your answer to the nearest tenth. 23. Carbon-14 dating is used by scientists to determine the age of a sample. The amount C (in grams) of a 50-gram sample of carbon-14 remaining after t years is represented by the equation . a. Use a calculator to find the amount of carbon-14 that will remain after 800 years. b. What percent of the original amount will remain after 800 years? 24. The sound intensity of a chainsaw is times greater than the quietest noise a person can hear. The sound intensity of a busy road is times greater than the quietest noise a person can hear. How many times more intense is the sound of the chainsaw than the sound of the road? 25. Consider the equation . a. Find two numbers a and b that satisfy the equation. b. Describe all of the pairs of whole numbers a and b that satisfy the equation. Chapter 9 Practice Quiz Answer Section 1. 45 2. 160,000 3. 216 1 4. 243 5. –81 6. 72 7. 248 8. 9. 10. 49p 11. 49d 12. 13. 14. 15. 16. 17. 18. 19. 20. x 8; When the Quotient of Powers Property is used to divide two powers with the same base, you subtract the exponents and keep the same base. 21. Yes; By the Product of Powers Property, you are supposed to add the exponents when the base of the power is the same. So x4x6 is equivalent to x10. 22. ; 25.2 in. 23. a. b. about 45.42 g about 90.85% 24. times 25. a. b. Sample answer: a 8 and b 3 The equation is satisfied by any whole numbers a and b for which a is 5 greater than b.