AccelePrep for the ACT Test 2nd Edition Student Text

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

USING UNITS TO AVOID ALGEBRA

1. Purveyor A’s price per head is 1 25 heads head . Now determine the difference in the prices per head: $1.25 – $1.20 = $0.05. So Purveyor A’s price is cheaper by $0.05 per head, (A). 2. Again, we have an item that doesn’t require advanced math, just the concept of “average”: Avg x 5 82 88 96 92 92 ȋ ȌǤ 3. Focus on the grammar used in the question. You’ll see that there is a prepositional phrase “of the normal selling price.” “Normal selling price” is a number, 25. There is a second number in the question, “sale price,” 25 – 5 = 20. The way to answer a percent question that has the structure “What percent of this is that?” is to create a fraction with “of this” as the denominator and “that” as the numerator: 25 20 5 4 . Convert 5 4 to a percent: . % 5 4 0 80 80 , (E). You can even use units to solve problems. 10. A printer operating at a constant rate produces x pages every t minutes. How long, in minutes, will it take the printer to produce p pages? F. pxt G. p ( t x ) H. t px Ǥ pt x K. x pt The value of this strategy cannot be overstated. You may be able to solve ˆƒ‹”Ž› †‹ˆϐ‹…—Ž– ƒŽ‰‡„”ƒ ’”‘„Ž‡• ™‹–Š‘—– ƒ› ƒ–Š‡ƒ–‹…ƒŽ…ƒŽ…—Žƒ–‹‘•Ǥ $ $ . 1 20 heads head . $ . 60 30 Purveyor B’s price per head is $ 48 36 90 x 5 358 x 358 450 , x

Example:

Answers

Return to the pages below to review each item:

1. p. 96 2. p. 96 3. p. 97 4. p. 97 5. p. 97 6. p. 99 7. p. 99 8. p. 99 9. p. 99 10. p. 100