Basic Technical Mathematics, 11th Edition

CHAPTER 17 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the end of this book.

1. State conditions on x and y in terms of inequalities if the point (x, y) is in the second quadrant.

In Problems 2–7, solve the given inequalities algebraically and graph each solution.

2. ${\displaystyle \frac{\hspace{0.17em}-\hspace{0.17em}x}{2}}\hspace{0.17em}\ge \hspace{0.17em}3$

3. $3x\hspace{0.17em}+\hspace{0.17em}1\hspace{0.17em}<\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}5$

4. $\hspace{0.17em}-\hspace{0.17em}1\hspace{0.17em}<\hspace{0.17em}1\hspace{0.17em}-\hspace{0.17em}2x\hspace{0.17em}<\hspace{0.17em}5$

5. ${\displaystyle \frac{x^2\hspace{0.17em}+\hspace{0.17em}x}{x\hspace{0.17em}-\hspace{0.17em}2}}\hspace{0.17em}\le \hspace{0.17em}0$

6. $|\hspace{0.17em}2x\hspace{0.17em}+\hspace{0.17em}1|\hspace{0.17em}\hspace{0.17em}\ge \hspace{0.17em}3$

7. $|\hspace{0.17em}2\hspace{0.17em}-\hspace{0.17em}3x|\hspace{0.17em}\hspace{0.17em}<\hspace{0.17em}8$

8. Sketch the region in which the points satisfy the following system of inequalities:

   $$\begin{array}{l}y\hspace{0.17em}<\hspace{0.17em}{x}^2\\ y\hspace{0.17em}\ge \hspace{0.17em}x\hspace{0.17em}+\hspace{0.17em}1\end{array}$$

9. Determine the values of x for which $\sqrt{x^2\hspace{0.17em}-\hspace{0.17em}x\hspace{0.17em}-\hspace{0.17em}6}$ represents a real number.

10. The length of a rectangular lot is 20 m more than its width. If the area is to be at least $4800{\text{ m}}^2\hspace{0.17em},\hspace{0.17em}$ what values may the width be?

11. Type A wire costs $0.10 per foot, and ...