Algebra 2 Tutor Diagnostic Exam

1. Solve for the unknown:

2. Simply or put in standard form:

3. Solve for the unknown:

4. Simplify or put in standard form:

5. Michael and Alexandra left their home at 8:00 AM to drive to New York. Michael drove at 55 miles an hour
and arrived at 5:00 PM. Alexandra drove at 45 miles an hour and arrived at the same place as Michael.
What time did Alexandra arrive?

6. Simply or put in standard form:

7. Simply or put in standard form:

8. In six years Rose will be two times as old as Anne. Four years ago, Anne was one third the age of
Rose. How old are they now?

9. Simply or put in standard form:

10. Sketch a graph of each equation and show the solutions.