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# 5 15 17 3 17 15 75 51 126 255 255 d the sum

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Unformatted text preview: XERCISES Diagnostic Test 1. (D) Change all fractions to sixtieths. 36 40 15 91 + + = 60 60 60 60 Exercise 1 1. (B) Change all fractions to twelfths. 68 9 23 ++= 12 12 12 12 2. 3. (A) 9 3 36 − 30 6 3 −= = = 10 4 40 40 20 2. (A) Use the cross product method. 5 (15) + 17 ( 3) 17 (15) = 75 + 51 126 = 255 255 (D) The sum of the digits is 27, which is divisible by 9. (C) 6 ÷ 3 ⋅ 4 = 6 ÷ 3 = 6 ⋅ 5 = 2 2 (A) 57 = 56 5 5 3 3 32 = 32 5 5 2 24 5 5 4 5 5 5 5 3 1 3. (D) 3 5 18 + 20 38 19 += = = 24 46 24 12 4. 5. 1 2 3 + 8 11 += = 43 12 12 19 11 8 2 −= = 12 12 12 3 4. 4 5. 6. 7. (B) 99 98 ÷ = ⋅ =4 28 29 9 3 45 − 33 12 −= = 11 5 55 55 1 2 3 + 8 11 = (E) + = 43 12 12 11 5 88 − 60 28 7 −= = = 12 8 96 96 24 (B) (E) Use a common denominator of 32. 1 16 = 2 32 3 24 = 4 32 11 22 = 16 32 5 20 = 8 32 21 32 Exercise 2 2 1. 2. 3. 1 364 1 (B) 2 ⋅ 1 ⋅ 9 ⋅ 12 = 3 3 2 3 Of these, is the largest. 4 7 2 8 14 (D) 8 ⋅ 3 ⋅ 1 = 3 8. (B) Use a common denominator of 30. 11 22 7 21 4 24 = = = 15 30 10 30 5 30 1 15 5 25 = = 2 30 6 30 2 20 2 7 Since = , the answer closest to is . 3 30 3 10 (A) 33 ÷ 5 20 4 3 20 ⋅ =4 53 4. 5. = (E) 3 ⋅ 12 18 6 2 7 7 9. (B) Multiply every term of the fraction by 30. 120 − 27 93 = 20 + 15 35 10. (A) 1 + 1 34 11 34 5 12 (D) 1 ⋅ 5 = 12 Multiply every term by 12. 4+3 =7 4−3 www.petersons.com 36 Chapter 2 Exercise 3 1. (D) The digits must add to a number divisible by 9. All answers are divisible by 5. 3 + 7 + 8 + 4 + 5 = 27, which is divisible by 9. (A) The sum of the digits must be divisible by 9, and the digit must be even. 8 + 3 + 2 + 1 = 14. Therefore, we choose (A) because 14 + 4 = 18, which is divisible by 9. (D) 19! = 19 · 18 · 17 · 16 ... 3 · 2 · 1. This is divisible by 17, since it contains a factor of 17. It is divisible by 54, since it contains factors of 9 and 6. It is divisible by 100, since it contains factors of 10, 5, and 2. It is divisible by 39, since it contains factors of 13 and 3. (E) The sum of the digits in both the numerator and denominator are divisible by 9. (D) The sum o...
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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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