103 Complete the table of fraction, decimal, and percent equivalents. Fraction in Lowest Terms Decimal Percent 1. 2 3 2. 1.25 Perform the indicated operations. 3. - 5 7 - a10 9 + 2 3b 4. 8 # 4 - 32 # 5 - 21-12 -3 # 22 + 23 Let U= 51,2,3,4,5,6,7,86, A = 51,2,3,4,5,66, B = 51, 3, 56, C = 51, 66, and D= 546. Determine whether each statement is true or false. 5. B′ = 52, 4, 6, 86 6. C⊆A 7. 1B¨C2 ´D= 51, 3, 4, 5, 66 8. 1A′ ´C2 ¨B′ = 56, 7, 86 Solve each problem. 9. Let A = E -13, -12 4 , 0, 3 5, p 4 , 5.9, 249 F. List all the elements of A that belong to each set. (a) Integers (b) Rational numbers (c) Real numbers 10. Evaluate the expression ` x2 + 2yz 31x + z2 ` for x = -2, y = -4, and z = 5. 11. (Modeling) Passer Rating for NFL Quarterbacks Determine the quarterback rating (to the nearest tenth) of Drew Brees of the New Orleans Saints during the 2017 regular season. He attempted 536 passes, completed 386, threw for 23 touchdowns, had 4334 total yards, and had 8 interceptions. (Data from www.nfl.com) Rating = a250 # C Ab + a1000 # T Ab + a12.5 # Y Ab + 6.25 - a1250 # I Ab 3 , where A = attempted passes, C = completed passes, T = touchdown passes, Y = yards gained passing, and I = interceptions. In addition to the weighting factors that appear in the formula, the four category ratios are limited to nonnegative values with the following maximums. 0.775 for C A , 0.11875 for T A , 12.5 for Y A , 0.095 for I A Chapter R Test CHAPTER R Test 120. 13x213y2 = 3xy 121. a a bb 2 = 2a b 122. m r # n r = mn r 123. 1 1-223 = 2-3 124. 1-522 = -52 125. a 8 7 + a bb -1 = 7 8 + b a
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