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. Eight parts.
  2. Work a compound interest problem.
  3. Find the effective rate.
  4. Work a future value 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. Home loan: Find the monthly payment and the total interest paid.
  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. Home loan: The details of a loan are given. Find the time to pay off the loan if extra is paid and the amount of money saved by paying extra.
  9. Solve the equation for X. Four parts. Know how to handle factoring of matrices and scalar multiplication. Look at problems 4.6.37-42 and the project for chapter 4.
  10. Write the solution to the system of linear equations from the augmented matrix. Four parts ... including the special cases. The matrices may be in either row echelon form or reduced row echelon form. Look at problems 4.3.11-20.
  11. Perform the row operations on the matrix. Three parts. Look at problems 4.2.13-24.
  12. One row operation has been performed to a matrix. Determine what that row operation is. Two parts. Look at problems 4.2.25-34.
  13. Multiply the matrices by hand and simplify the result. Look at problems 4.4.11-14 and 55-58, but practice on larger matrices.
  14. Leontief Input-Output Analysis. Write the input-output matrix and find the output. Look at problems 4.7.27-34.
  15. Dominance Relation. Look at problems 4.4.73-74.


Points per problem

# 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Take Home Total
Pts 8 3 3 3 6 5 5 5 8 8 6 4 4 6 6 20 100