Victory for the ACT Student Text 15e

L ESSON 1 | N UMBER AND Q UANTITY • 209

8. Which of the following fractions is the largest? F. 221 111 G. 151 75 H. 998 333 J. 225 113 K. 301 101 9. If z x x y = + , 1 z ? A. x x y 1 − + B. x x y 1 + − C. x x y 1 D. x y E. 1 x y 10. . .0 125 0 125 64 ] ]g g ? F. 0.125 G. 0.5 H. 0.625 J. 1 K. 8

Bridge the Gap Items #12–13

12. If the senior class has 360 students, of whom 12 5 are women, and the junior class has 350 students, of whom 7 4 are women, how many more women are there in the junior class than in the senior class? F. ( ) 360 350 7 4 12 5 d n G. ( ) 2 360 350 7 4 12 5 d n H. ( ) 7 4 12 5 360 350 c d m n J. 7 4 350 12 5 360 c ] d ] m g n g K. 12 5 360 7 4 350 d ] c ] n g m g 13. If the price of candy increases from 5 pounds for $7 to 3 pounds for $7, how much less candy (in pounds) can be purchased for $3.50 at the new price than at the old price? A. 7 2 B. 1 C. 1 35 17 D. 2 E. 3 35 34 The Cambridge Edge Perform the following steps when solving a story problem: Step 1: Identify what is being asked. Step 2: Identify the information that is given in the item. Step 3: Determine how to bridge the gap between Step 1 and Step 2, including any units both indicated and implied. Step 4: Execute the needed operations. Step 5: Double-check remaining units.

Throwback to Math Class Š‡ DzϐŽ›‹‰Ǧšdz method is used to add and subtract fractions: + = b a + bd ad bc Step 1: Find the new denominator by multiplying the original denominators. Step 2: Multiply –Š‡ ϐ‹”•– ˆ”ƒ…–‹‘ǯ• numerator by the •‡…‘† ˆ”ƒ…–‹‘ǯ• denominator. Step 3: Multiply the •‡…‘† ˆ”ƒ…–‹‘ǯ• numerator by the ϐ‹”•– ˆ”ƒ…–‹‘ǯ• denominator. Step 4: Add (or subtract) the results of Step 2 and Step 3. This method is particularly useful when a common denominator is not obvious. The Cambridge Edge ‘ǯ– ’ƒ‹…™Š‡ you see a story problem! Practice using the steps above to organize your approach and ›‘—ǯŽŽ ƒ•–‡” •–‘”› problems in no time. b a d c d c

. 0 111 0 666 ] ] g g is approximately equal to which of the following? A. 6.8 B. 4.3 C. 3.6 D. 1.6 E. 0.9 . . 0 166 0 125 .

11.