Victory for the ACT Student Text 15e

L ESSON 2 | A LGEBRA AND F UNCTIONS • 225

ALGEBRA STRATEGIES: “TEST-THE-TEST” AND “PLUG-AND-CHUG”

Y years ago, Paul was twice as old as Bob. If Bob is now 18 years old, how old is Paul today in terms of Y ౳ ?

Diana spent 1 of her weekly allowance on a new book and another $3 on lunch. If she still had 6 1 of her original allowance left, how much is Diana’s allowance? F. $24 G. $18 H. $15 J. $12 K. $9  ƒ…‡”–ƒ‹ ‰ƒ‡ǡ ƒ ’Žƒ›‡” Šƒ† ϐ‹˜‡ successful turns in a row, and after each one, the number of points added to his total score was double what was added the preceding turn. If the player scored a total of 465 points, how many points did Š‡ •…‘”‡ ‘ –Š‡ ϐ‹”•– ’Žƒ›ǫ A. 15 B. 30 C. 95 D. 155 E. 270 – ƒ…‡”–ƒ‹ ϐ‹”ǡ d gallons of fuel are needed per day for each truck. At this rate, g gallons of fuel will supply t trucks for how many days? F. gt d G. d gt H. dgt J. t dg K. dt g 2

69.

66.

A. Y 36 B. Y 18 C. Y 18 D. Y 36 E.

Y 36 2

ˆ–‡” ϐ‹ŽŽ‹‰ –Š‡…ƒ”ǯ• ˆ—‡Ž –ƒǡ ƒ †”‹˜‡” drove from point P to point Q and then to point R . She used 5 2 of the fuel driving from P to Q . If she used another 7 gallons to drive from Q to R and still had 4 1 of a tank left, how many gallons does the tank hold? F. 12 G. 18 H. 20 J. 21 K. 35 If pencils cost x cents each, how many pencils can be purchased for y dollars? A. xy 100 B. xy 100 C. x y 100 D. x y 100 E. 100 xy

70.

67.

71.

68.