Victory for the ACT Student Text 15e

L ESSON | P RELIMINARIES AND S TRATEGIES • 203

Š‡ ‘‹ŽǦϐ‹”‡† „‘‹Ž‡” ‹ –Š‡ „ƒ•‡‡– ‘ˆ ƒ school building consumes fuel at a rate of g ‰ƒŽŽ‘• ‡˜‡”› h Š‘—”•Ǥ Š‹…Š ‘ˆ –Š‡ following expressions can be used to calculate the amount of fuel consumed during m minutes of uninterrupted operation? F. ghm G. hm g H. hm g 60 J. h gm 60 K. hm g 60

 –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ PQR T is inscribed in a circle with center O Ǥ Šƒ– ‹• –Š‡ ƒ”‡ƒ ‘ˆ the circle? F. 2 r G. 2 r H. r J. 2 r K. 2 r  –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ QP is tangent to circle O at point P , and QR is tangent to circle O at point R Ǥ Šƒ– ‹• –Š‡ †‡‰”‡‡ measure of the minor arc PSR ? A. 30 B. 60 C. 90 D. 120 E. 180

4.

8.

If ( ) what does ( ( )) f g 2 f x x 2 3 = −

and ( )

, then

equal?

2 = −

5.

g x x

2

9.

A. –1 B. 0 C. 1 D. 4 E. 7 If x 3 5 + = F. 8 or 2 G. 2 or 8 H. 8 J. 2 K. 2 or 8

, then x

?

6.

 –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ sin A

?

 –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ –Š‡ Ž‹‡ Šƒ• ƒ •Ž‘’‡ ‘ˆ ͳǤ Šƒ– ‹• –Š‡ y Ǧ‹–‡”…‡’– ‘ˆ –Š‡ Ž‹‡ǫ A. 5 B. 3 C. 0 D. 3 E. 7

10.

7.

Coordinate Geometry Item #7

Geometry Items #8–9

F. G. H. J. K.

3

Trigonometry Item #10

5

3

4

4

5

5

4

5

3