Math 190 Preparation Guide

Example Problems

These problems represent the level of sophistication of mathematical reasoning necessary to take math 190. If you cannot solve these problems even after some thought, contact the instructor to discuss the appropriateness of this course.

1. Suppose ABC is similar to DEF and segment AB is twice as long as the corresponding segment DE. If segment BC is 1 cm long, how long is the corresponding segment EF? Answer

2. Suppose a side of square A is one-third as long as a side of square B. If the area of square B is 1 cm², what is the area of square A? Answer

3. Is there a line through the points (1,2), (2,4), and (3,6)? If there is, what is the slope of that line? Answer

4. Find x if (1/2)(x/3 + 1/4) = 1. Answer

5. Find x if 3x² - 5x - 2 = 0. Answer

6. Expand (x + 2)³. Note the word ''expand'' means ''multiply out.'' Answer