Basic Technical Mathematics, 11th Edition

CHAPTER 7 PRACTICE TEST

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

1. Solve by factoring: $2x^2\hspace{0.17em}+\hspace{0.17em}5x\hspace{0.17em}=\hspace{0.17em}12$

2. Solve by using the quadratic formula: $x^2\hspace{0.17em}=\hspace{0.17em}3x\hspace{0.17em}+\hspace{0.17em}5$

3. Solve graphically using a calculator: $4x^2\hspace{0.17em}-\hspace{0.17em}5x\hspace{0.17em}-\hspace{0.17em}3\hspace{0.17em}=\hspace{0.17em}0$

4. Solve algebraically: $2x^2\hspace{0.17em}-\hspace{0.17em}x\hspace{0.17em}=\hspace{0.17em}6\hspace{0.17em}-\hspace{0.17em}2x(3\hspace{0.17em}-\hspace{0.17em}x)$

5. Solve algebraically: ${\displaystyle \frac{3}{x}}\hspace{0.17em}-\hspace{0.17em}{\displaystyle \frac{2}{x\hspace{0.17em}+\hspace{0.17em}2}}\hspace{0.17em}=\hspace{0.17em}1$

6. Sketch the graph of $y\hspace{0.17em}=\hspace{0.17em}2x^2\hspace{0.17em}+\hspace{0.17em}8x\hspace{0.17em}+\hspace{0.17em}5$ using the extreme point and the y-intercept.

7. In electricity, the formula $P\hspace{0.17em}=\hspace{0.17em}EI\hspace{0.17em}-\hspace{0.17em}R{I}^2$ is used. Solve for I in terms of E, P, and R.

8. Solve by completing the square: $x^2\hspace{0.17em}=\hspace{0.17em}6x\hspace{0.17em}+\hspace{0.17em}9$

9. The perimeter of a rectangular window is 8.4 m, and its area is $3.8{\text{ m}}^2\hspace{0.17em}.\hspace{0.17em}$ Find its dimensions.

10. If $y\hspace{0.17em}=\hspace{0.17em}{x}^2\hspace{0.17em}-\hspace{0.17em}8x\hspace{0.17em}+\hspace{0.17em}8\hspace{0.17em},\hspace{0.17em}$ sketch the graph using the vertex and any other useful points and find ...