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Practice Test - Chapter 7 Simplify each expression. 2 8 1. (x )(7x ) ANSWER: 7x 10 7 2 2 5 2. (5a bc )(−6a bc ) ANSWER: 9 2 7 −30a b c 3. MULTIPLE CHOICE Express the volume of the solid as a monomial. 3 A x B 6x C 6x3 6 D x ANSWER: A Simplify each expression. Assume that no denominator equals 0. 4. ANSWER: 4 8 xy 5. ANSWER: 1 6. ANSWER: Simplify. 7. eSolutions Manual - Powered by Cognero ANSWER: 10 Page 1 ANSWER: Practice Test - Chapter 7 Simplify. 7. ANSWER: 10 8. ANSWER: 5 9. ANSWER: 12 10. ANSWER: 11. ANSWER: 9 12. ANSWER: 1000 13. ANSWER: 243 14. ANSWER: Solve each equation. 15. ANSWER: 3 eSolutions Manual - Powered by Cognero 16. ANSWER: Page 2 Solve each equation. 15. ANSWER: Practice Test - Chapter 7 3 16. ANSWER: 5 17. ANSWER: 6 Express each number in scientific notation. 18. 0.00021 ANSWER: −4 2.1 × 10 19. 58,000 ANSWER: 4 5.8 × 10 Express each number in standard form. −5 20. 2.9 × 10 ANSWER: 0.000029 6 21. 9.1 × 10 ANSWER: 9,100,000 Evaluate each product or quotient. Express the results in scientific notation. 3 4 22. (2.5 × 10 )(3 × 10 ) ANSWER: 7 7.5 × 10 23. ANSWER: 6 2.2 × 10 24. ASTRONOMY The average distance from Mercury to the Sun is 35,980,000 miles. Express this distance in scientific notation. ANSWER: 3.598 × 10 7 Graph each function. Find the y-intercept, and state the domain and range. eSolutions Manual x - Powered by Cognero 25. y = 2(5) ANSWER: Page 3 24. ASTRONOMY The average distance from Mercury to the Sun is 35,980,000 miles. Express this distance in scientific notation. ANSWER: Practice Test - Chapter 7 7 3.598 × 10 Graph each function. Find the y-intercept, and state the domain and range. x 25. y = 2(5) ANSWER: y-intercept is 2 D = {all real numbers} R = {y | y > 0} 26. y = –3(11) x ANSWER: y-intercept is −3 D = {all real numbers} R = {y | y < 0} 27. y = 3x + 2 ANSWER: y-intercept is 2 D = {all real numbers} R = {all real numbers} Find the next three terms in each geometric sequence. 28. 2, −6, 18, … eSolutions Manual - Powered by Cognero ANSWER: Page 4 y-intercept is 2 D = {all real numbers}7 Practice Test - Chapter R = {all real numbers} Find the next three terms in each geometric sequence. 28. 2, −6, 18, … ANSWER: −54, 162, −486 29. 1000, 500, 250, … ANSWER: 125, 62.5, 31.25 30. 32, 8, 2, … ANSWER: 31. MONEY Lynne invested $500 into an account with a 6.5% interest rate compounded monthly. How much will Lynne’s investment be worth in 10 years? F $600.00 G $938.57 H $956.09 J $957.02 ANSWER: H 32. INVESTMENTS Shelly’s investment of $3000 has been losing value at a rate of 3% each year. What will her investment be worth in 6 years? ANSWER: $2498.92 Find the first five terms of each sequence. 33. ANSWER: 18, 14, 10, 6, 2 34. ANSWER: eSolutions Manual - Powered by Cognero Page 5