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WorksheetsQuiz Prerequisites Chapter
Total questions: 20
Worksheet time: 1hrs 15mins
Name
Class
Date
1.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
2.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
Radius = 5 units
3.
Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)
y = -5x + 3 through (-5, -4)
a)
y = -3x + 1/5
b)
y = -3x - 1/5
c)
y = 1/5x - 3
d)
y = -1/5x - 3
4.
Are the two linear equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
5.
Solve for x: x+22+x−25=x2−46
a)
7
b)
6
c)
14
d)
0
6.
Solve for x: x1=5x1−5xx−1
a)
x = 5
b)
x = -3
c)
x = 3
d)
x = -5
7.
Solve x4 - 256 = 0
a)
x = 4, x = - 4
b)
x = 4, x = 4i
c)
x = 4, x -4, x = 4i
d)
x = 4, x -4, x = 4i, x = -4i
8.
Find all zeros for the polynomial function P(x) = x3 -3x2-5x+15
a)
3, √5
b)
3, √5, -√5
c)
-3, √5, -√5
d)
-3, 5i, -5i
9.
Find all zeros of the polynomial function P(x) = x3+6x2+9x+54
a)
6, 3, -3
b)
-6, 3, -3
c)
-6, 3i, -3i
d)
6, 3i, -3i
10.
Solve.
a)
no solution
b)
6
c)
3
d)
4
11.
Solve for x
a)
No solutions
b)
2
c)
1
d)
-4
12.
Solve by factoring
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
13.
Solve the following for x by using the Quadratic Formula
2x2+6x=7
a)
b)
c)
14.
| x + 6 | = 11
a)
x = -6 and x = 11
b)
No Solution
c)
x = 5 and x = -17
d)
x = -5 and x = 17
15.
| 3x - 6 | - 9 = -3
a)
No Solution
b)
x = 0 and x = 4
c)
x = 2 and x = -2
d)
x = -4 and x = 4
16.
a)
n > 1 or n < -7
b)
n > -1 or n < -7
c)
-7 < n < -1
d)
no solution
17.
a)
r > 11/4 or r < 9/4
b)
r > 5 or r ≤ 0
c)
r > 5 or r < 0
d)
r < -5 or r > 0
18.
Solve for x and y
5x + 3y = 7
y = 4
5x + 3y = 7
y = 4
a)
(4,1)
b)
(4,-1)
c)
(1,4)
d)
(-1,4)
19.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
20.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
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