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# C 17 must be the middle integer since the five

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Unformatted text preview: 0 ) = 200 10)800 80 5. (C) M(P) = MP N(Q) = NQ MP + NQ Divide by the number of students, M + N. www.petersons.com Averages 113 Retest 1. (C) The integers are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27. Since these are evenly spaced, the average is the average of the two middle numbers 13 and 15, or 14. (D) 2x - 3 x+ 1 +3x + 8 6x + 6 6x + 6 = 2x + 2 3 1 = .20 5 25% = .25 .09 = .09 3).54 .18 7. (B) 6′6″ + 6′7″ + 6′11″ + 6′9″ + 7′ = 31′33″ = 33′9″ 33′9″ = 6′9″ 5 2. 8. (C) I. The average of the first twenty positive integers is 10.5. II. The average of the first ten positive integers is 5.5. III. The first four positive integers that end in 2 are 2, 12, 22, and 32. Their average is 17. 3. (B) 9. (C) Karen drove for 1 hour into the country and returned home by bus in 2 hours. Since the total distance traveled was 80 miles, her average rate for the round trip was hour. 80 2 or 26 miles per 3 3 4. (B) 75 is 5 below 80; 82 is 2 above 80; 70 is 10 below 80. So far, he is 15 points below and 2 points above 80. Therefore, he needs another 13 points above 80, or 93. (D) 2 P + 3Q + x =S 3 2 P + 3Q + x = 3S x = 3S – 2 P – 3Q 10. (D) Since \$300 is \$50 below \$350, Mindy’s salary for the first four months is \$200 below \$350. Therefore, her salary for each of the next 8 months must be salary \$375. \$200 or \$25 above the 8 5. 6. (C) 10 ( \$5.00 ) = \$50 14 ( \$6.50 ) = \$91 6 ( \$7.80 ) = \$46.80 30)\$187.80 \$6.26 average of \$350, thus making the required www.petersons.com Concepts of Algebra—Signed Numbers and Equations 8 DIAGNOSTIC TEST Directions: Work out each problem. Circle the letter that appears before your answer. Answers are at the end of the chapter. 1. When +4 is added to –6, the sum is (A) –10 (B) +10 (C) –24 (D) –2 (E) +2 4. Solve for x: ax + b = cx + d (A) (B) (C) (D) (E) 5. d –b ac d –b a+c d –b a–c b–d ac b–d a–c 2. The product of (–3)(+4) – 2 – 3 is (A) –1 (B) –2 (C) +2 (D) –6 (E) +6 When the product of (–12) and + 4...
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## This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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