WorksheetsSolving Rational Equations
Total questions: 18
Worksheet time: 2hrs 3mins
Name
Class
Date
1.
Solve
a)
A
b)
B
c)
C
d)
D
2.
Solve
a)
A
b)
B
c)
C
d)
D
3.
Solve
a)
n = 0
b)
n = 3
c)
n = −7
d)
n = 0, n = 3
4.
Solve
a)
There is no solution because the solution x = 6 is extraneous
b)
x = 6
c)
x = 7
d)
x = 5
5.
Solve
a)
k = 1, k = 5
b)
k = −1, k = 5
c)
k = −1, k = −3
d)
k = 1
6.
Solve
a)
A.
b)
B.
c)
C.
d)
D.
7.
Solve
a)
11
b)
5
8.
What is the least common multiple of
3x2-27 and 5x2+10x-75?
HINT: Think least common denominator!
3x2-27 and 5x2+10x-75?
HINT: Think least common denominator!
a)
3(x+3)(x-3)(x+5)
b)
15(x+3)(x+3)(x+5)
c)
15(x+3)(x-3)(x+5)
d)
5(x+3)(x-3)(x+5)
9.
What is the least common multiple of x2-16 and x2+4x-32?
HINT: Think least common denominator!
HINT: Think least common denominator!
a)
(x + 4)(x – 4)(x + 8)
b)
(x-4)2 (x+8)
c)
(x + 4)(x – 4)
d)
(x - 4)(x-4)2(x + 8)
10.
Solve for y
a)
y = -9
b)
y = -3
c)
y=1
d)
y = 3
11.
Solve for x.
a)
2
b)
18/5
c)
26/5
d)
6
12.
State the domain restrictions.
a)
x ≠ -2
b)
x ≠ 2, 1
c)
x ≠ 2, -1
d)
x ≠ -2, 2, 1
13.
State the domain restrictions.
a)
x ≠ 3
b)
x ≠ 0, 3, 4
c)
x ≠ 0, 4
d)
x ≠ 4
14.
State the domain restrictions.
a)
x ≠ 3, -2, 6, -1
b)
x ≠ -1, 6
c)
x ≠ 3, -2
d)
No Domain Restrictions
15.
State the domain restrictions.
a)
x ≠ -2, 5
b)
x ≠ 1/2, -5, -2
c)
x ≠ 0, 5
d)
x ≠ 1/2, -2
16.
Lucy and Quinn have started a car washing business. Lucy can wash a car in 3 hours. Together, Lucy and Quinn can wash a car in 1 hour. How long does it take Quinn to wash a car by herself?
a)
It takes Quinn 4 hours.
b)
It takes Quinn 2 hours.
c)
It takes Quinn 1.5 hours.
d)
I don't know. It's too cold to wash cars! *DON'T PICK THIS!*
17.
Tim can paint the football field in 8 hours. JaQuii can paint the football field in 6 hours. Damien can paint the field in 4 hours. How long does it take them to paint the field together?
a)
It will take them 24 hours.
b)
It will take them 1.8 hours.
c)
It will take them 11 hours.
d)
It will take them 2.4 hours.
18.
Use the quadratic formula:
a)
A
b)
B
c)
C
d)
D
100 %
