AccelePrep for the ACT Test 2nd Edition Student Text

122 • S URGE TO S UCCESS ! M ATH T EST P REP

DIRECTIONS: Solve each item and choose the correct answer choice. Use any available space for scratch work. Calculator use is permitted; however, some items are best solved without the use of a calculator. Answers are on p. 309. Notes: All of the following should be assumed, unless otherwise stated. 1. ŽŽ—•–”ƒ–‹˜‡ ϐ‹‰—”‡• ƒ”‡ ‡…‡••ƒ”‹Ž› †”ƒ™ –‘ •…ƒŽ‡Ǥ 2. Š‡ ™‘”† average indicates arithmetic mean. 3. Š‡ ™‘”† Ž‹‡ ‹†‹…ƒ–‡• ƒ •–”ƒ‹‰Š– Ž‹‡Ǥ 4. ‡‘‡–”‹…ϐ‹‰—”‡• Ž‹‡ ‹ ƒ ’Žƒ‡Ǥ

1. A normal dozen contains 12 items, and a baker’s dozen contains 13 items. If x is the number of items that could be measured either in a positive whole number of normal dozens or in a positive whole number of baker’s dozens, what is the minimum value of x ? A. 1 B. 12 C. 13 D. 25 E. 156 2. Starting from points that are 20 kilometers apart, two cyclists travel toward each other on a straight stretch of highway. If one cyclist travels at 14 kilometers per hour and the other travels at 16 kilometers per hour, how much time, in hours, will elapse before the cyclists meet? F. 3 1 G. 2 1 H. 3 2

3. A student begins heating a certain substance with a temperature of 50°C over a Bunsen burner. If the temperature of the substance will rise at a constant rate of 20°C for every 24 minutes it remains over the burner, what will be the temperature of the substance, in degrees Celsius, after 18 minutes? A. 52 B. 56 C. 60 D. 65 E. 72

J. 4 3 K. 1