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WorksheetsCollege Algebra (Math 1314): Test 4 Review (9.3, 2.6, and 6.5)
Total questions: 16
Worksheet time: 3hrs 12mins
Name
Class
Date
1.
Evaluate the determinant of the matrix.
a)
-21
b)
0
c)
9
d)
12
2.
Solve for x and y using CRAMER'S RULE
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
3.
Use Cramer's Rule to Solve.
4x + 2y = 12
4x + 8y = -24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
4.
Tip: Divide both sides by -4 to isolate the cube root
a)
1010
b)
1000
c)
990
d)
90
5.
Solve for x.
Tip: Isolate the radical by subtracting 3 from both sides.
a)
5
b)
4
c)
41
d)
82
6.
a)
4
b)
-4
c)
2
d)
-2
7.
Solve for b.
Tip: Isolate the radical by adding b to both sides.
a)
9
b)
-9
c)
7
d)
-7
8.
a)
y = 0
b)
y = 21
c)
y = 2
d)
None
9.
Find the horizontal asymptote.
a)
y = (−2)
b)
None
c)
y = 0
d)
y = 21
10.
Find the Vertical Asymptotes
a)
x= 0, -2
b)
x= 2
c)
x= -3, 2
d)
x = -3,1
11.
What is the vertical asymptote? (Could be more than one answer)
a)
x= 4
b)
x= -4
c)
x= 5
d)
x= -5
12.
Evaluate the determinant of the matrix.
a)
-21
b)
0
c)
9
d)
12
13.
When finding the Horizontal asymptotes of a function, you should be thinking...
a)
"Set Bottom = to Zero"
b)
"Top = 0"
c)
"f(0)"
d)
"Look at the Degree of the top and bottom..."
14.
Which asymptote(s) are determined by looking at the denominator?
a)
vertical
b)
horizontal
c)
slant
d)
none
15.
Use Cramer's Rule to Solve
a)
x=-3
y=4
y=4
b)
x=-3
y=5
y=5
c)
x=3
y=-4
y=-4
d)
x=2
y=-5
y=-5
16.
What is the horizontal asymptote?
a)
y = -4
b)
y = 1
c)
x = 1
d)
y = -6
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