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Name: ______________________ Level I Date: _________ 8-1 to 8-5 Practice Quest Multiple Choice Identify the choice that best completes the statement or answers the question. Simplify the expression. ____ ____ 1. (−5.9) 0 a. 1 ____ ____ 4. d. 0 b. 1 32 c. − 1 32 d. –10 b. 5cm −30 c. 5c 5 m −6 d. m6 5c 5 56x y d. 7 xy −7 7 −8 x y 7x 8 y 5. (8.27) −5 ⋅ (8.27) 6 a. 11 b. 7 x8 y c. b. 8.27 c. 1 d. –8.2711 b. 4g 2 c. 4g 3 d. 5g 3 6. 4g 2 ⋅ g a. ____ 32 3. 5c −5 m 6 6 a. 5 m5 c a. ____ c. –1 2. (2) −5 a. ____ b. –5.9 5g 2 7. Which number is NOT written in scientific notation? a. 3 × 10 −8 b. 6.7 × 10 3 c. 8.7 × 10 −5 1 d. 25.67 × 10 −2 Name: ______________________ ID: A Simplify the expression. Write the answer using scientific notation. ____ Ê ˆÊ ˆ 8. ÁÁÁ 0.4 × 10 −6 ˜˜˜ ÁÁÁ 0.7 × 10 −2 ˜˜˜ Ë ¯Ë ¯ −9 a. 2.8 × 10 b. 2.8 × 10 −8 c. 2.8 × 10 −7 d. 0.28 × 10 −9 Complete the equation, by supplying the missing exponent. ____ 9. 3 a. ⋅ 3 −6 = 3 2 –8 b. –3 c. 8 Short Answer Simplify the expression. 10. 2x −8 ⋅ 5x 3 11. 5x 9 ⋅ 3y 9 ⋅ 2x 2 12. (x −5 ) 3 13. (3xy 3 ) 2 (xy) 6 14. (−2g 3 h 5 ) 3 (g 6 h 4 ) 4 8 15. d 9 d −10 12 16. a −7 b 6 a b 17. Evaluate 7x 3 y −1 for x = 3 and y = –2. 2 d. 4 Name: ______________________ ID: A Write the number in scientific notation. 18. 3,510,000 19. 0.000395 Write the number in standard notation. 20. 3.3 × 10 5 21. 2.75 × 10 −3 Complete the equation, by supplying the missing exponent. 22. m ⋅ n 2 ⋅ m 3 = m 11 n 2 . 23. Simplify. Show your work. (3x −3 y 4 ) −2 (x 2 y −3 ) 4 Other 24. Multiply: (6.2 × 10 −3 )(3.4 × 10 6 ) 3 ID: A 8-1 to 8-5 Practice Quest Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. A B A A B C D A C SHORT ANSWER 10. 425 x 11. 30x 11 y 9 12. 115 x 13. 9x 8 y 12 14. −8g 33 h 31 15. 1 d 6 16. b 3 a 17. −94 1 2 18. 3.51 × 10 6 19. 20. 21. 22. 3.95 × 10 −4 300,000 0.00275 8 1 ID: A ESSAY 23. [4] (3m −1 n 4 ) −2 (2m 3 n −5 ) 4 = 3 −2 m 2 n −8 ⋅ 2 4 m 12 n −20 = (3 −2 )(2 4 )m 2 m 12 ⋅ n −8 n −20 = (3 −2 )(2 4 )m 14 ⋅ n −28 ÊÁ ˆ˜ = ÁÁÁÁ 1 ˜˜˜˜ (16)m 14 ⋅ 128 Ë9¯ n [3] [2] [1] 14 = 16m28 9n one computational error incorrect application of a law of exponents OR two computational errors more than two computational errors OTHER 24. blah 2