MTH 220T Wk 3 – Midterm Exam

Complete the midterm exam. You have one attempt at the exam. So, be sure to review all previous course materials before attempting the exam.

Question 1

10 Points

Describe the end behavior of the polynomial

The graph increases to the right and decreases to the left.

The graph decreases to the right and left.

The graph increases to the right and left.

The graph decreases to the right and increases to the left.

Question 2

10 Points

Find the value of   .

Question 3

10 Points

To the nearest two decimal places, find the amount in an account after 5 years at 6% annual percentage rate compounded monthly if the money initially deposited was $15,000.

19,500.00

15,378.77

20,232.75

20,073.38

Question 4

10 Points

Solve the given system of equations.

Question 5

10 Points

Find the inverse of the function   .

Question 6

10 Points

Solve the equation   .

Question 7

10 Points

Simplify the expression   .

Question 8

10 Points

Divide the following  .

Question 9

10 Points

Solve the exponential equation   .

Question 10

10 Points

Identify a one-to-one function.

Question 11

10 Points

Identify the polynomial that represents the given graph.

Question 12

10 Points

Solve the logarithmic equation   .

Question 13

10 Points

Find the value of   .

Question 14

10 Points

Find the domain of the function   .

Question 15

10 Points

Simplify the expression   .

Question 16

10 Points

Simplify the radical   .

Question 17

10 Points

A bacterial population has an exponential growth rate of 11.81% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours?

y=480

y=940

y=750

y=840

Question 18

10 Points

Which of the following systems of equations satisfies the solution (6,2)?

Question 19

10 Points

Solve the system of equations using the elimination method.

Question 20

10 Points

How many solutions does a dependent system of equations have?

No solution

Infinitely many solutions

One or more solutions

One solution

Question 21

10 Points

Solve:  .

Question 22

10 Points

Solve the given system of equations using the substitution method.

Question 23

10 Points

If   and  , find the value of  .

Question 24

10 Points

Simplify the expression   .

Question 25

10 Points

For the polynomial  , find the zeros and the multiplicity of each zero.

x=2 is a zero with multiplicity 0, and x=3 is a zero with multiplicity 1

x=2 is a zero with multiplicity 1, and x=1 is a zero with multiplicity 3

x=0 is a zero with multiplicity 1, and x=3 is a zero with multiplicity 1

x=0 is a zero with multiplicity 2, and x=-1 is a zero with multiplicity 3

Question 26

10 Points

Simplify the radical  .

Question 27

10 Points

Find the solution for the system  using the graphing method.

Question 28

10 Points

Find the domain of the function   .

Question 29

10 Points

Find the domain of   .

Question 30

10 Points

Which ordered pair is in the solution set of the following system of nonlinear inequalities?

(4, 2)

(3, 4)

(2, 3)

(5, –1)