Exam 3 - Study Guide

  1. Identify the x-intercept, y-intercept, and slope of a linear equation. Then sketch the graph of the line.
  2. Given a point and a slope, determine the equation of the line passing through the point with the given slope.
  3. Given two points, determine the equation of the line passing through them.
  4. Given a point and the equation of a line in standard form, find the equation of the line passing through the point which is parallel to the given point.
  5. Given a point, find the equation of the line perpendicular to either the x-axis or y-axis which passes through the point.
  6. Graph a linear inequality.
  7. Work a variation problem.
  8. Sketch the graph an inverse variation problem.
  9. Simplify a numerical expression involving rational exponents.
  10. Simplify a variable expression involving rational exponents.
  11. Simplify a variable expression involving rational exponents.
  12. Expand an expression involving rational exponents.
  13. Factor an expression involving rational exponents.
  14. Combine terms involving rational exponents.
  15. Write an expression in simplified radical form.
  16. Write an expression in simplified radical form.
  17. Expand an expression involving radicals.
  18. Rationalize a denominator involving radicals.
  19. Solve an equation involving radicals. Be sure to check your answers.
  20. Solve an equation involving radicals. Be sure to check your answers.
  21. Solve a complex equation for x and y.
  22. Simplify an expression involving complex numbers.
  23. Expand an expression involving complex numbers.
  24. Rationalize a denominator involving complex numbers.
  25. Perform a logical exploration of the squaring property of equality. Consider the statement, the inverse of the statement, the converse of the statement, and the contrapositive of the statement. In each case indicate whether the statement is true or false. If it is false, give an example.