1-5. Multiple Choice
1. The expression
2+ 、J3
-」듣
is equivalent to
2--V3
(1)
2. The
11냄
(2)
(3) 7
+4써
(4)
묘쩍
(4)
2냄
e때ression 않 - 꿇 is e빼ent to
2- 굉
(1)
7-4써
2냄
(2)
않
(3)
펀
Y II expressed in lowest terms?
3. What is the product II y + 1\IJI ------;;-
'\1-y ‘ )
、
(1)
_1_τ
(2) _J_
1-y
y-.L
y+l
(3) -
(4) -1
y-1
4. T he expression
. 핀그5
낸+얘 is. equiv려e따 to
(1)
~
(2) -1
젠 ~꽉곽
(4) 11+/2
5
5. When resistors R1 and R2 are connected in a parallel electric circuit, the total
resistance is --조-- . This complex fraction is equivalent to
1
1
---+-Ri R2
(1) R1 +R2
(2)
R+R
~
RiR2
(3)
R.
R
-」L+-효
R2
- 185 -
Ri
(4)
RR
___L__L
Ri +R2
6-11. Write each fraction in lowest terms.
6.
3x+6
4-x2
8.
7.
10a2 -15ab
4a2-9b2
9.
ah-b2
10.
5ah-5a2
2x2 -50
2x2 +5x-25
11.
3x3-27xy2
12x2 +36.xy
x2 -4y2
x2+4찌1+4y2
12-26. Perform the indicated operation, and write the answer in simplest form.
12. 2J굵 +3J굶
2x+ y x+5y
17. - + x+2y x+2y
22.
J45
15
J20
13.
xJ48-2낸갈5
18. _2 : ~ --二-‘
a2-1 a+l
40 J굶
23. 끊-
14.
(s-2낸)(s+2낸)
a2-5 b2-5
19. - + a-b b-a
24.
81-x2
6x-54
15.
(1+ 써)(2- 퍼)
20.
5 핍흙- 륨흙
25.
2x2 -32
20-5x
x2 +x-12 2x2 -5x-3
16.
(3굉 -2굉r
21.
2협표
26.
-
3yefY
+
x2+9x
3x
x+2 +
2
x2 -9 x2 +x-6
꾀 돼
27-30. Express each fraction as 없l equivalent fraction in simplest form with a rational
denominator. In Exercise 28, x represents an integer greater than 1.
“
M
f;
2
28. 끄파
.J8
30
9. 파피5
펀펀펴
· J5- ah
31-36. Simplify each complex fraction.
3 1
--+x2 x
9
1~x2
31.
33.
x-y
-」-­
y
-x
%야
32.
1
1-w
1 1
w2 w
35.
----t
x +-+
y--x
. -vv
36.
1
m-m
1
m-2+m
b
4
-----+b-3 b
1+ 」­
b-3
- 186 -