2016SHSAT_English

Sample Test – mathematicsExplanations of Correct Answers AForm96. (G) The ratios of X:Y and Y:Z can be combinedbecause Y has the same value in both ratios.So, X:Y:Z = 4:9:5. The proportion of X and Y4 1 9in the mixture is ​_________4 1 9 1 5 ​ 5 ​ ___ 13​. Multiply the18total weight of the mixture by the proportion tofind the weight of the mixture after Z has been13removed: 90 3 ​ ___18 ​ 5 65 g97. (A) (2p 1 8) 2 (5 1 3p) 5 2p 1 8 2 5 2 3p 5 3 2 p98. (F) One revolution is equal to the circumference ofthe tire:22C 5 2rπ 5 2(1)(​ ___7 ​) 5 ​ ___ 447 ​ feetThe car travels at 4,400 feet per minute. Tocalculate the number of revolutions, divide thespeed by the circumference:100. (K) Let x 5 the mean number of hours Namworked per day during the first 8 days.Then, x 1 2 is the number of hours heworked on each of the last 2 days. Since heworked 69 total hours, set up the equationand solve for x:8x 1 2(x 1 2) 5 6910x 1 4 5 6910x 5 65x 5 6.5Remember that x is the mean hours workedthe first 8 days. The question asked for thenumber of hours Nam worked the last twodays:2(x 1 2) 5 2(6.5 1 2) 5 2(8.5) 5 17.0 hours444,400 4 ​ ___7 ​ 5 4,400 • ​ ___ 7 ​ 5 700 revolutions4499. (E) First, multiply each term by 2 to eliminate thefraction: 4(2) < x < 2(2) 8 < x < 4Therefore, x must be between 8 and 4, whichis Option K.69