MT 150 Final Exam Competencies

Or what you should be able to do by the end of the semester in MT 150 or MT 150 + MT 100.

1. Given a slope and a point, write the equation and determine the 2nd coordinate of another point on the line.

2. Find the maximum for a quadratic function, written as a word problem when the function is given.

3. Graph a parabola (that lies outside the typical TI windows) & describe the parabola including vertex & x-intercepts.

4. Given the graph of a function, choose its inverse.

5. Given the graph of a function, choose the graph that represents a given translation.

6. Choose the equation that best represents the given graph of a polynomial.

7. Solve a system of 2 equations in 2 unknowns.

8. Given 2 points of a line, determine the rate of change.

9. Recognize the shape of linear, exponential, logarithmic, and quadratic functions.

10. Add two rational expressions.

11. Convert expressions with rational exponents to simplified radical form.

12. Find the zeros for a given quadratic equation written in a word problem.

13. Find the zeros of a cubic function.

14. Solve an equation with a square root, report the answer, and state whether there were any extraneous solutions or not.

15. Solve a rational equation.

16. Solve a log equation in log base x.

17. Use properties of exponents to simplify an expression.

18. Use the B = Pe^(rt) (given) to answer a word problem.

19. Find (f - g)(x) when given f and g.

20. Find the range for a quadratic function.

21. Recognize inverse functions, ln and e.

22. Use the calculator to solve an inequality problem.

23. Use the quadratic formula.

24. Rewrite a logarithmic expression in simplified form.

25. Solve an absolute value equation.