Post University Algebra Equations Question and Exercises

13 multiple question test……………………………………………………………..

Use the rational function to find the indicated function values. If a function value does not exist, state so.
x2 – 6x-16
f(x)
;f(4), f(7), f(8)
X-7
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. f(4)
(Type an integer or a simplified fraction.)
O B. The function value does not exist.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. f(7)
(Type an integer or a simplified fraction.)
B. The function value does not exist.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. f(3) =
(Type an integer or a simplified fraction.)
O B. The function value does not exist.
Use the rational function to find the indicated function values. If a function value does not exist, state so.
x2 – 6x-16
f(x)
;f(4), f(7), f(8)
X-7
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. f(4)
(Type an integer or a simplified fraction.)
O B. The function value does not exist.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. f(7)
(Type an integer or a simplified fraction.)
B. The function value does not exist.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. f(3) =
(Type an integer or a simplified fraction.)
O B. The function value does not exist.
Simplify the rational expression.
x²-9
X+3
Select the correct choice below and fill in any answer boxes in your choice.
x²-9
OA
x + 3
OB. The expression cannot be simplified.
Multiply as indicated
X-7 8x + 72
x +9 3x – 21
X-7 8x + 72
x + 3x – 21
=
(Simplify your answer.)
Divide as indicated.
X+4 5x + 20
8 3
X +4 5x + 20
8 3
***
11
(Simplify your answer.)
8
Add the fractions. Simplify if possible.
+
x-5
7x-1
X-5
х 7x-1
+
X-5 X-5
Add the fractions. Simplify if possible.
x² – 4x x² + 3x
x2 + 4x
+
2
x + 4x
x² – 4x x² + 3x
x2 + 4x . x2 + 4x
(Simplify your answer. Type your answer in factored form.)
Subtract the fractions. Simplify if possible.
6x 5x – 7
2x-32x-3
6x
2x-3
5x – 7
2x – 3
=
Solve the following rational equation. If the equation has no solution, so state.
3
+ 3 =
х
12
х
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution set is {
(Simplify your answer. Use a comma to separate answers as needed.)
OB. There are infinitely many solutions.
OC. There is no solution.
Solve the following rational equation. If the equation has no solution, so state.
4
2
X + 8
X-4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution set is { }
(Simplify your answer. Use a comma to separate answers as needed.)
O B. There are infinitely many solutions.
OC. There is no solution.
Solve the equation.
X-16
X-8
8
+ 8
X-8
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution set is {}
(Simplify your answer. Use a comma to separate answers as needed.)
O B. There are infinitely many solutions.
OC. There is no solution.
y varies directly as x. y = 30 when x = 3. Find y when x = 16.
y =
(Simplify your answer.)
y varies inversely as x. y = 18 when x = 5. Find y when x = 3.
y =
(Simplify your answer.)
y varies directly as x and inversely as the square of z. y = 12 when x=25 and z=5. Find y when x=2 and 2 = 6.
y =
(Simplify your answer. Type an integer or a simplified fraction.)