Victory for the ACT Student Text 15e

270 • M ATH

If ( ) y Ǧ‹–‡”…‡’– ‘ˆ –Š‡ ‰”ƒ’Š ‘ˆ ( ) f x and ( ) f 3 1 − =

, what is the in the

If

, and x

, then x

?

3 !

x

3

=

19.

f 3 4 coordinate plane? Ǥ 2 5 B. 5 2 C. 0 D. 5 2 E. 2 5

15.

x Ǥ ͵ B. 4 C. 5 D. 7 E. 9 3 4 +

Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ ‹• –Š‡…‘’Ž‡–‡ solution set for x 2 3 2 5 + + = ? F. {} G. { }1 H. { }3 J. { , } 1 3 K. { , } 1 2  –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ ™Šƒ– ‹• –Š‡ Ž‡‰–Š ‘ˆ AC ? sin ABD 4 7 + e o Ǥ ͷ B. 2 7 †ƒ”–„‘ƒ”† Šƒ• ˆ‘—”…‘…‡–”‹……‹”…Ž‡•Ǥ If the diameter of each circle except for the smallest is twice that of the next •ƒŽŽ‡”…‹”…Ž‡ǡ ™Šƒ– ‹• –Š‡ ’”‘„ƒ„‹Ž‹–› –Šƒ– ƒ ”ƒ†‘Ž› –Š”‘™ †ƒ”– –Šƒ– •–”‹‡• –Š‡ ϐ‹‰—”‡ ™‹ŽŽ •–”‹‡ –Š‡ •Šƒ†‡† ’‘”–‹‘ ‘ˆ –Š‡ ϐ‹‰—”‡ǫ F. 16 3 G. 64 13 H. 4 1 J. 64 17 K. 2 1 C. 4 3 D. 7 E. 10

16.

Throwback to Math

Class –‡’• ˆ‘” •‘Ž˜‹‰ radical equations: 1. Isolate the radical expression. 2. Eliminate the ”ƒ†‹…ƒŽ •‹‰ „› •“—ƒ”‹‰ ȋ‘” …—„‹‰ǡ ‡–…ǤȌ both sides of the equation. 3. Solve for the —‘™ variable. 4. Š‡… –Š‡ solution(s) in the equation. – ‹• ‡š–”‡‡Ž› ‹’‘”–ƒ– –Šƒ– ›‘— …Š‡… ›‘—” ƒ•™‡”• ™Š‡ †‡ƒŽ‹‰ ™‹–Š radical equations. “—ƒ”‹‰ „‘–Š •‹†‡• of an equation while •‘Ž˜‹‰ ˆ‘” x can ‰‡‡”ƒ–‡ ‡š–”ƒ‡‘—• solutions.

20. –‹••—‡ „‘š Šƒ• †‹‡•‹‘• •Š‘™ „‡Ž‘™Ǥ What is the total surface area of the box, in square inches? F. 24 G. 36 H. 48 J. 54 K. 108

17.

18.