chapter 8
DESCRIPTION
Irrational Expressions Practice ProblemsTRANSCRIPT
CHAPTER 8Irrational (Radical) Expressions
PROBLEM 1 Add
4 78428
4 78428
74
72
44 4916
4 272
72747272
PROBLEM 2 Subtract
105 464
105 464 55 232
5 22 5
1
10
2
22
5 2555 2222
10 22
PROBLEM 3 Multiply
3 800090
109
103 102
20106020103
33 10008
3 800090
PROBLEM 4 Divide
3
3
2
168
3
3
2
1683
33
2
828
3
33
2
828
1
88 3
3 88 28 16
PROBLEM 5 Write the general equation
y varies inversely with the cube of x
3x
ky
y varies inversely with the cube of x
PROBLEM 6 Write the particular equation
y varies directly with the ninth root of x;
X = 512, y =20
y varies directly with the ninth root of x;
X = 512, y =209 xky 9 51220 k
k220 10k910 xy
PROBLEM 7 Solve the word problem
If the weight of a box of tissue varies directly
with its volume, and a box of 100 cubicinches weighs 8 ounces, what is the volume
of a box that weighs 24 ounces?
If the weight of a box of tissue varies directly
with its volume, and a box of 100 cubicinches weighs 8 ounces, what is the volume
of a box that weighs 24 ounces?kVw 1008 k
k100
8xy
100
8
x100
824 x300
PROBLEM 8 Solve the word problem, again
Bob's dentist determined the number of cavities developed in his patient's mouth each year is inversely proportional to the total number of minutes spent brushing
during each session. If Bob developed four cavities during the year he spent only 30
seconds brushing his teeth each time, how many annual cavities will Bob develop if he increases his brushing time to two minutes
per session?
Bob's dentist determined the number of cavities developed in his patient's mouth each year is inversely proportional to the total number of minutes spent brushing during each session. If Bob developed four cavities during the year he spent only 30 seconds brushing his teeth each time, how many annual cavities will Bob develop if he increases his brushing time to two minutes per session?
m
kC
5.4
k k2
minutes ;2
mm
C2
2C 1C