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Worksheets12.1-12.4 Review
Total questions: 12
Worksheet time: 16mins
Name
Class
Date
1.
Does the equation represent a a direct variation, inverse variation or neither?
Y = -2x
Y = -2x
a)
Direct Variation
b)
Inverse Variation
c)
Neither
d)
No Solution
2.
Does the equation represent direct variation, inverse variation or neither?
xy=5
xy=5
a)
Direct Variation
b)
Inverse Variation
c)
Neither
d)
No Solution
3.
Tell whether the table represents inverse variation. If so, what is the inverse variation equation?
a)
Not Inverse
b)
Yes, Y= 2/X
c)
Yes, Y= 8/x
d)
Yes, Y=x/2
4.
Given that y varies inversely with x, use the specified values to write an inverse equation that relates x and y. Then find the value of y when x = 2
X = 3, Y = 7
X = 3, Y = 7
a)
Y = 21/x 10.5
b)
Y=7/3x 21
c)
Y= 2/3 0
d)
No Solution
5.
Given that y varies inversely with x, use the specified values to write an inverse equation that relates x and y. Then find the value of y when x = 2
X = 9 Y = -2
X = 9 Y = -2
a)
Y= (-2/x)-9 3.5
b)
Y= (9/x)-2 18
c)
Y= (7/x) 14
d)
Y= (-18/x) -9
6.
Graph the function and identify domain and range. Compare the graph with Y=(1/x)
a)
Domain- all real numbers except 3. Range- All real numbers except 1. Graph is a vertical shrink of the original translated 3 units to the left.
b)
Domain- All real numbers except 3. Range- All real numbers except 1. Graph is a vertical shrink of the original translated 3 units to the right.
c)
Domain- All real numbers except 0, Range- All real numbers except 0. Graph is a vertical shrink of the original, reflected over the x-axis.
d)
Domain- All real numbers. Range- All real numbers. Graph translated 1.5 units up.
7.
Graph the function and identify domain and range. Compare the graph with Y=(1/x)
a)
Domain- All real numbers except 8. Range- All real numbers except -8. Graph is a vertical stretch, translated 8 units to the left.
b)
Domain- All real numbers except 0. Range- All real numbers except 0.
c)
Domain- All real numbers except 4. Range- All real numbers except 32. Vertical stretch of the original.
d)
Domain- All real numbers except -8, Range- all real numbers except 0. Graph is translated 8 units to the left.
8.
Divide
(8x3 - 12x2 +16x) / 4x
(8x3 - 12x2 +16x) / 4x
a)
4x
b)
x-4
c)
2x2 - 3x + 4
d)
(x-4)(x+4)
9.
Divide 6x3 -12x2+9x by 3x
a)
x2-36
b)
2x2-4x+3
c)
2x3+2x2-1x
d)
6x2-12x+9
10.
Simplify the radical expression, if possible. State the excluded values.
6x/6(x+5)
6x/6(x+5)
a)
3x/x2; x cannot equal 7
b)
2x/4; x cannot equal 1
c)
6/x+5; x cannot equal -5
d)
x/x+5; x cannot equal -5
11.
Simplify the radical expression, if possible. State the excluded values.
a/1-a
a/1-a
a)
a cannot equal -1
b)
a/-a; a cannot equal 1
c)
a cannot equal 1
d)
1/a; a cannot equal 0
12.
Simplify the radical expression, if possible. State the excluded values.
2x/3x
2x/3x
a)
2/3; x cannot equal 0
b)
3/8; x cannot equal 0 or 4
c)
2; x cannot equal 3
d)
1/2; x cannot equal 1/4
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