New SAT Math Workbook

B let x number of 10 cent stamps 40 x number of 15

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Unformatted text preview: = 210 5. (E) Going Return R 60 50 ·T x x+1 = D 60x 50x + 50 Multiply by 100 to eliminate decimals. 4 x + 5 ( 2 x ) = 21, 000 14 x = 21, 000 x = $1500 60 x = 50 x + 50 10 x = 50 x=5 If he drove for 5 hours at 60 miles per hour, he drove 300 miles. www.petersons.com 190 Chapter 12 Exercise 1 1. (A) Let x = number of dimes 4 x = number of quarters 10 x = value of dimes in cents 0 100x = value of quarters in cents a Exercise 2 1. (B) Consecutive integers are 1 apart. If the fourth is n + 1, the third is n, the second is n – 1, and the first is n – 2. The sum of these is 4n – 2. (D) The other integer is n + 2. If a difference is positive, the larger quantity must come first. (D) To find the average of any 4 numbers, divide their sum by 4. (C) Represent the integers as x, x + 1, and x + 2. x + x + 2 = 26 2 x = 24 x = 12 x + 1 = 13 2. 3. 4. 10 x + 100 x = 220 100 x = 220 x=2 2. (A) Let x = number of nickels 45 − x = number of dimes 5 x = value of nickels in cents 450 − 10x = value of dimes in cents 5 x + 450 − 10 x = 350 −5 x = −100 x = 20 20 nickels and 25 dimes 3. (B) Let x = number of 10-cent stamps 40 − x = number of 15-cent stamps 10 x = value of 10-cent stamps 600 − 15 x = value of 15-cent stamps 5. (C) An even integer follows an odd integer, so simply add 1. 10 x + 600 − 15 x = 540 −5 x = −60 x = 12 4. (C) Let x = number of nickels 30 − x = number of quarters 5 x = value of nickels in cents 750 − 25 x = value of quarters in cents 5 x + 750 − 25 x = 470 −20 x = −280 x = 14 5. (C) Let 3x = number of nickels 4 x = number of dimes 3x + 4 x = 28 7 x = 28 x=4 There are 16 dimes, worth $1.60. www.petersons.com Problem Solving in Algebra 191 Exercise 3 1. (C) Let x = Stephen's age now 4 x = Mark's age now x + 1 = Stephen's age in 1 year 4 x + 1 = Mark's age in 1 year 4 x + 1 = 3( x + 1) 4 x + 1 = 3x + 3 x=2 Exercise 4 1. 2. 3. (B) She invested x + 400 dollars at 5%. The income is .05(x + 400). (E) He invested 10,000 – x dollars at 5%. The income i...
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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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