James Madison High School Different Forms for Denoting Division Problems

Rational Functions Exam: 20 questions will upload some in the rest through message.

Question 1 (5 points)
Divide the rational expressions: 2-2-24
A) *
B)
(x+1)(x-3)
C)
OD) x(x + 1)
Question 2 (5 points)
If y varies directly as x and y = 42 when x = 6,
find the equation that gives the relationship
between x and y.
OAX= 7 y
OB) y= 7x
OC) y=X/X
Dy=71x
Question 3 (5 points)
Simplify:
x+9
3y
2.x
3y
A) ++3
2y
B) x+9
y
O
x+9
C)
D) *+3
Question 4 (5 points)
A group of friends will host a party and split
the cost of food and supplies evenly. The cost
that each person will pay is inversely
proportional to the number of friends who
decide to host. If five friends host the party,
each person pays $12 for food and supplies.
Write an equation that describes the
relationship between cost (c) that each host
pays and the number of hosts (h).
A)
C=
6071
h/ 60
B) C=
Odc=h/2.4
D)
C=
2.476
Question 5 (5 points)
Identify all true solution(s): =0
OA) X= 3
OBX = 4, -3
C) x= -4,3
D) x = -3
Question 6 (5 points)
Graph the rational function f(x) =* by
determining its key features and plotting them
on the coordinate plane.
y
A)
10
9
8
6
5
4
3
-98
T
3
4
5
8
9
10
-1
1
3
-5
6
-2
1
.
3
-4
-5
6
-7
-8
-9
-10
О.
B)
У
10
9
8
7
6
5
4
3
-10
-6
-5
3
5
6
7
8
9
10
-1
-2
3
4
-5
-6
17
8
-9
10
6
10
y
О O
C)
9
8
2
6
5
3
2
1
1
2
3
4
5 6 7
8
1
!
-2
3
-5
-6
7
-8
-9
10
О
D)
10
у
8
6
5
-5
3 2
1
2
3
4 5 6 7
8 9
10
-1
1
2
3
4
-5
6
-7
-8
-9
-10
If Sara drives 60 miles per hour, it takes her 2
hours to reach her parents’ house. Write an
equation describing the relationship between
Sara’s speed and the time it takes her to get
to her parents’ house. (Note that speed and
time are inversely proportional).
Als = 120/
t
7
o
24/t
B)
S=
o
C)
S=
Plt
30
60/t
o
D)
S=
Question 8 (5 points)
Solve the equation:
7
1
-1=-
X-8
X-8
OA) X = 16
B) x = 0
C) x = 4
DX= 2
Question 9 (5 points)
Simplify *** by performing long division.
x-1
A) x +4 –
B) x +4 +
C) x +4-
4 –
D) x +4+
Question 10 (5 points)
Simplify: x-34-4. x² +8x+15
x2 + 4x +3
X-4
OA) x + 5
B) x+5
(x-4)(x+5)
x+3
OD (x-4)(x – 5)
Question 11 (5 points)
If s varies inversely as tand s = 8 when t = 5,
find the equation that connects sand t.
A)
S
400
B)
s=
=*/40
OC) 40s= t
OD
S=
40lt
Question 12 (5 points)
Simplify:
х
x2 + x
x+1
3
A) 1/3
OB) (x + 1/3x)
CX/3
00) 1/3x
Question 13 (5 points)
If y varies inversely with the square of x, and y
= 26 when x = 4, find y when x = 2.
OA) 52
B) 13
C) 208
D) 104
Question 14 (5 points)
Identify any discontinuities in the function
X² – 9x
g(x)=
x2 – 6x +99
A) There are no discontinuities.
B) There is one discontinuity at x = 3.
O c) There are two discontinuities at x = 2 and x
= 3.
OD) There are two discontinuities at x = 0 and x
= 3.