Math 160: Study Guide - Chapters 3&4

  1. Identify which type of problem (simple interest, compound interest, future value annuity, or present value annuity) is applicable. Do not attempt to answer the question, only identify the type of problem you would need to answer the question. Ten parts.
  2. Financial problem. I'm being purposely vague here. It could be any of the compound interest, future value, or present value problems.
  3. Financial problem
  4. Financial problem
  5. Retirement problem: Find the present value needed to retire, then find the payment needed under a future value to reach that goal.
  6. Financial problem.
  7. Home loan: The details of a loan are given. Find the remaining balance after a fixed time and the equity in the house at that point.
  8. Write the solution to the system of linear equations from the augmented matrix. Four parts ... including the special cases. Look at problems 4.3.11-20.
  9. Perform the row operations on the matrix. Three parts. Look at problems 4.2.13-24.
  10. Multiply the matrices by hand and simplify the result. Look at problems 4.4.11-14 and 55-58, but practice on larger matrices.
  11. One elementary row operation has been performed to a matrix. Determine what that row operation is. Two parts. Look at problems 4.2.25-34.
  12. Leontief Input-Output Analysis. Write the input-output matrix and find the output. Look at problems 4.7.27-34.
  13. Supply and Demand application problem involving a system of linear equations.

Group Portion

  1. Incidence Matrix (shipping / airline / network traffic). Look at problems 4.4.67-68 and also part 2 of the chapter 4 project.
  2. Application problem involving a system of linear equations. Look at problems 4.3.71-74.
  3. Traffic Flow application problem (map of one-way streets). Look at problems 4.3.89-90.
  4. Dominance Relation (players winning and losing indirectly). Look at problems 4.4.73-74.


Points per problem

# 1 2 3 4 5 6 7 8 9 10 11 12 13 G1 G2 G3 G4 Total
Pts 20 4 4 4 12 4 6 8 6 3 6 6 8 10 8 10 6 125