Exponents and Polynomials - XYZ Custom Plus

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608Chapter 9 Exponents and Polynomials26. Write the following ratio as a fraction in lowest terms: 27. Subtract 2x − 9 from 6x − 8.0.04 to 0.324x + 1_ 1 8 28. Identify the property or properties used in the following:(6 + 8) + 2 = 6 + (8 + 2).Associative property of addition30. Age Ben is 8 years older than Ryan. In 6 years the sumof their ages will be 38. How old are they now?Ben is 17; Ryan is 932. Discount A surfboard that usually sells for $400 ismarked down to $320. What is the discount? What isthe discount rate?$80; 20%34. Cost of Coffee If coffee costs $6.40 per pound, howmuch will 2 lb 4 oz cost?$14.4036. Wildflower Seeds C.J. works in a nursery, and one ofhis tasks is filling packets of wildflower seeds. If eachpacket is to contain _ 1 pound of seeds, how many4packets can be filled from 16 pounds of seeds?64 packets38. Commission A car stereo salesperson receives a commissionof 8% of all units he sells. If his total sales forMarch are $9,800, how much money in commissionwill he make?$78429. Surface Area Find the surface area of a rectangularsolid with length 7 inches, width 3 inches, and height2 inches.82 in 231. Gas Mileage A truck travels 432 miles on 27 gallonsof gas. What is the rate of gas mileage in miles pergallon?16 mpg33. Geometry Find the length of the hypotenuse of a right trianglewith sides of 5 and 12 meters.13 m35. Interest If $1,400 is invested at 6% simple interest for 90days, how much interest is earned?$2137. Checking Account Balance Rosa has a balance of $469 inher checking account when she writes a check for $376for her car payment. Then she writes another check for$138 for textbooks. Write a subtraction problem thatgives the new balance in her checking account. What isthe new balance?−$4539. Volume How many 8-fluid-ounce glasses of water will ittake to fill a 15-gallon aquarium?240 glasses40. Internet Access Speed The table below gives the speed of the most common modems used for Internet access. Theabbreviation bps stands for bits per second. Use the template to construct a bar chart of the information in the table.Modem SpeedsModem Type Speed (bps)28K 28,000900,000800,000700,000786,00056K 56,000ISDN 128,000Cable 512,000Speed (bps)600,000500,000400,000512,000DSL 786,000300,000200,000100,00028,00056,000128,000028K 56K ISDNCableDSLModem type
Chapter 9 TestSimplify each of the following expressions.1. 3x 5 ⋅ 4x 412x 9 2. (4x 3 y 2 )(6x 4 y 5 )24x 7 y 73. (a 4 ) 3 (a 7 ) 24. (6x 3 y 2 ) 3a 26 216x 9 y 65. (4a 4 b 3 ) 3 (2a 2 b) 2256a 16 b 11Add or subtract the following polynomials as indicated.6. (4t 2 + 7t + 3) + (9t 2 − 6t + 4)13t 2 + t + 77. (6a 2 − 7a − 4) − (2a 2 − 8a + 5)4a 2 + a − 9Find the value of the following polynomials when x = 4.8. x 2 + 4x + 4369. 2x 2 − 6x − 53Multiply.10. 3x 6 (4x 4 − 6)11. (3x − 5)(2x + 6)12x 10 − 18x 6 6x 2 + 8x − 3012. (4y − 3) 216y 2 − 24y + 9Simplify each expression completely. Your answer should have only positive exponents.13. 4 5 ⋅ 4 −714. x −1 ⋅ x 5 ⋅ x −8_116 _ 1 x 415. 5−6 _5 −82516. _y −8 ⋅ y 3y 2y −717. Write 0.0000385 in scientific notation.18. Write 6.75 × 10 6 in standard form.3.85 × 10 −5 6,750,000Chapter 9 Test609
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