Basic Technical Mathematics, 11th Edition

CHAPTER 14 PRACTICE TEST

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

1. Solve for x: $x^{\mathrm{1/2}}\hspace{0.17em}-\hspace{0.17em}2x^{\mathrm{1/4}}\hspace{0.17em}=\hspace{0.17em}3.$

2. Solve for x: $3\sqrt{x\hspace{0.17em}-\hspace{0.17em}2}\hspace{0.17em}-\hspace{0.17em}\sqrt{x\hspace{0.17em}+\hspace{0.17em}1}\hspace{0.17em}=\hspace{0.17em}1.$

3. Solve for x: $x^4\hspace{0.17em}-\hspace{0.17em}17x^2\hspace{0.17em}+\hspace{0.17em}16\hspace{0.17em}=\hspace{0.17em}0.$

4. Solve for x and y algebraically: $\begin{array}{rcl}{x}^2\hspace{0.17em}-\hspace{0.17em}2y& \hspace{0.17em}=\hspace{0.17em}& 5\\ 2x\hspace{0.17em}+\hspace{0.17em}6y& \hspace{0.17em}=\hspace{0.17em}& 1\end{array}$

5. Solve for x: $\sqrt[3]{2x\hspace{0.17em}+\hspace{0.17em}5}\hspace{0.17em}=\hspace{0.17em}5.$

6. The velocity v of an object falling under the influence of gravity in terms of its initial velocity $v_0\hspace{0.17em},\hspace{0.17em}$ the acceleration due to gravity g, and the height h fallen is given by $v\hspace{0.17em}=\hspace{0.17em}\sqrt{v_0^2\hspace{0.17em}+\hspace{0.17em}2gh}\hspace{0.17em}.\hspace{0.17em}$ Solve for h.

7. Solve for x and y graphically: $\begin{array}{l}{x}^2\hspace{0.17em}-\hspace{0.17em}{y}^2\hspace{0.17em}=\hspace{0.17em}4\\ xy\hspace{0.17em}=\hspace{0.17em}2\end{array}$

8. A rectangular desktop has a perimeter of 14.0 ft and an area of $10.0{\text{ ft}}^2\hspace{0.17em}.\hspace{0.17em}$ Find the length and the width of the desktop.