Victory for the ACT Student Text 15e

M ATH Q UIZZES • 269

If 2 is written as a decimal to 101 places, ™Šƒ– ‹• –Š‡ •— ‘ˆ –Š‡ ϐ‹”•– ͳͲͲ †‹‰‹–• –‘ –Š‡ ”‹‰Š– ‘ˆ –Š‡ †‡…‹ƒŽ ’‘‹–ǫ Ǥ ͸͸ B. 595 C. 599 D. 600 E. 601  –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ O is the center of the circle with radius 1. What is the area of the •Šƒ†‡† ”‡‰‹‘ǫ 3

+ −

11.

i i

2

=

7.

?

Ǥ

6

i

13 8

B.

35

i

35 11 8 C. 1 8 i 37 3 D. i 37 11 8 E. 3 1

Throwback to Math Class 1. The radius of a circle is equal to one-half of the diameter : r d 2 1 2. The circumference of a circle is equal to the diameter —Ž–‹’Ž‹‡† „› π : C d π = 3. The area of a circle is equal to the radius squared —Ž–‹’Ž‹‡† „› π : A r 2 π = Throwback to Math Class The slope of a line is one of the most important concepts to master ˆ‘” –Š‡ Ǥ Š‡ slope of the line that contains two points ( , ) ( , ) x y x y and 1 1 2 2 ‹•…‘’—–‡† —•‹‰ –Š‡ ˆ‘ŽŽ‘™‹‰ formula: 2 1

12.

 ƒŽ„—…‘–ƒ‹• x „Žƒ…Ǧƒ†Ǧ™Š‹–‡ ’Š‘–‘‰”ƒ’Š• ƒ† y …‘Ž‘” ’Š‘–‘‰”ƒ’Š•Ǥ ˆ –Š‡ ƒŽ„—…‘–ƒ‹• ʹͶ ’Š‘–‘‰”ƒ’Š•ǡ –Š‡ ™Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ „‡ –”—‡ǫ F. x y G. x y 2 H. x y 3 J. x y 4 Ǥ ƒ‘– „‡ †‡–‡”‹‡† ˆ”‘ –Š‡ ‰‹˜‡ information , a b c 2 3 4 –Š‡ ™Šƒ– ‹• –Š‡ ƒ˜‡”ƒ‰‡ (arithmetic mean) of a , b , and c , in terms of a ? Ǥ a 18 13 B. a 3 4 C. a 9 13 D. 2 a E. a 3 8

8.

F. G. H. J.

π

3

2 1 + 2 1 −

4

π

3

4

4 2 1 + π

If

4 2 1 − π K. 1 π − If ( ) f 3 5

9.

and ( ) f 7 7 , what is the slope ‘ˆ –Š‡ ‰”ƒ’Š ‘ˆ ( ) f x in the coordinate plane? Ǥ 2 B. 2 1 C. 1 D. 2 1 E. 2  ƒ Ž‹•– ‘ˆ –Š‡ ϐ‹”•– ͳͲͲ ’‘•‹–‹˜‡ ‹–‡‰‡”•ǡ –Š‡ †‹‰‹– ͻ ƒ’’‡ƒ”• Š‘™ ƒ› –‹‡•ǫ F. 9 G. 10 H. 11 J. 19 K. 20

13.

If x y 6 = + value of x ? F. 4 G. 3 11 H. 2 5 J. 3 2 K. 2 7

and x y 4 3 2 = −

, what is the

10.

14.

x x y y

2 1