Math 116 - Chapter 2 Study Guide

  1. Solve the equation if possible. Look at problems 2.1.15-29.
  2. Solve the formula for the indicated variable. Look at problems 2.1.31-34.
  3. Use a graphing utility to approximate all solutions of the equation. Remember that you're only looking for x-values here since the y-values will be zero. Look at problems 2.2.35-45. Use the root or zero feature of the calculator, do not use the arrow / zoom keys to approximate the intercept.
  4. Perform the indicated operations with complex numbers and simplify. Write your answers in standard form. Look at problems 2.3.25-36, 2.3.47-65. Four parts.
  5. Solve the quadratic equation by factoring. Look at problems 2.4.5-13.
  6. Solve the quadratic equation by extraction of roots. Look at problems 2.4.15-21.
  7. Solve the quadratic equation by completing the square. Look at problems 2.4.23-29.
  8. Solve the quadratic equation by using the quadratic formula. Look at problems 2.4.45-51.
  9. Use a graphing utility to approximate any points of intersection of the graphs of the equations. You need both the x-coordinate and the y-coordinate on this problem. Look at problems 2.2.49-53. Use the intersect feature of the calculator, do not use the arrow / zoom keys to approximate the intersection point.
  10. Find all solutions of the equation. Use any algebraic method, but show work. Look at problems 2.4.61-75, 2.4.81-86. Four parts.
  11. Find an equation having the given solutions. Expand your answer (don't leave it in factored form). Look at problems 2.4.109-116.
  12. Solve the inequality and sketch on the real number line. Write your answers in interval notation. Look at problems 2.5.29-36, 2.5.45-50, 2.5.55-58. Three parts.

Notes:

Points per problem

# 1 2 3 4 5 6 7 8 9 10 11 12 Tot
Pts 4 4 4 12 5 5 5 5 4 16 4 12 80