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606Chapter 9 Exponents and PolynomialsFind the product of the given binomials by using the diagrams. [9.3]21. (x + 3) and (x + 5)22. (3x + 7) and (5x + 2)x 5 3x 7x5x3x 2 + 8x + 15215x 2 + 41x + 14Simplify each expression completely. Your answer should have only positive exponents. [9.4]23. 5 −324. (−4) −225. 3 5 ⋅ 3 −725. 3 5 ⋅ 3 −7_1125 _ 116 _ 1 9 _ 1 9 27. y 2 ⋅ y −6 1 _y 428. x −3 ⋅ x 8 ⋅ x −629. _x 7x 30. x 79_ 1 x _ 1 x 2 x 16_x −931. 25 _2 8 _3 −1032. 3−6_ 1 8 8133. (4x −3 )(−5x −5 )− 20 _x 8 34. _x −6 ⋅ x −2x 2x −10Write each number in scientific notation. [9.5]35. 73,800,0007.38 × 10 7 36. 0.0029352.935 × 10 −3Write each number in standard form. [9.5]37. 4.4 × 10 94,400,000,00038. 1.6 × 10 −50.000016Simplify each expression and write all answers in scientific notation. [9.6]39. (4.8 × 10 7 )(3.6 × 10 −5 )40. (460,000)(0.00056)1.728 × 10 3 2.576 × 10 26.8 × 10641. _3.4 × 10 −842. _0.0000250.00005 2 × 10 14 5 × 10 −143. ___(4.5 × 10−6 )(2.4 × 10 5 )44. __(392)(500,000) 1.2 × 10 6 0.00079 × 10 −7 2.8 × 10 11
Chapter 9 Cumulative ReviewSimplify.1. 5,309 + 6875,9962. 8 + 5 _x _ 8x + 5 x3. 11.09 − 6.5314.5594. 4 1 _8 − 13 _4 2 3 _8 Multiply.5. (3x − 5)(6x + 7)18x 2 − 9x − 356. 5a 3 (2a 2 − 7)10a 5 − 35a 3Divide._______7. 314) 13,188 428. 6 _32 ÷ 9 _48 19. Round the number 435,906 to the nearest tenthousand.440,00010. Write 0.48 as a fraction in lowest terms._ 1225 11. Change _76 to a mixed number in lowest terms. 12. Use the equation 3x + 4y = 24 to find x when y = −3.12126_ 1 3 13. Write the decimal 0.8 as a percent.80%14. Convert 7 kilograms to pounds (1 kg = 2.21 lb).15.47 lb15. Write 124% as a fraction or mixed number in lowest 16. What percent of 60 is 21?terms.1_625 35%Simplify.17. √ — 32xy 2 4y √ — 2x 18. 8x + 9 − 9x − 14−x − 519. −| −7 |−7−3(−8) + 4(−2)20. __11 − 9821. 19 − 5(7 − 4)422. 5√ — 49 + 3√ — 81 62Solve.23. _3 y = 21856_− 4 3 524. −3(2x − 1) = 3(x + 5)25. _3.6 = 4.5_4 x Chapter 9Cumulative Review607
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