Basic Technical Mathematics, 11th Edition

CHAPTER 1 PRACTICE TEST

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

In Problems 1–5, evaluate the given expressions. In Problems 3 and 5, the numbers are approximate.

1. $\sqrt{9\hspace{0.17em}+\hspace{0.17em}16}$

2. $\frac{{\displaystyle (7)(\hspace{0.17em}-\hspace{0.17em}3)(\hspace{0.17em}-\hspace{0.17em}2)}}{{\displaystyle (\hspace{0.17em}-\hspace{0.17em}6)(0)}}$

3. $\frac{{\displaystyle 3.372\hspace{0.17em}\times \hspace{0.17em}{10}^{\hspace{0.17em}-\hspace{0.17em}3}}}{{\displaystyle 7.526\hspace{0.17em}\times \hspace{0.17em}{10}^{12}}}$

4. $\frac{{\displaystyle (\hspace{0.17em}+\hspace{0.17em}6)(\hspace{0.17em}-\hspace{0.17em}2)\hspace{0.17em}-\hspace{0.17em}3(\hspace{0.17em}-\hspace{0.17em}1)}}{{\displaystyle |\hspace{0.17em}2\hspace{0.17em}-\hspace{0.17em}5|\hspace{0.17em}}}$

5. $\frac{{\displaystyle 346.4\hspace{0.17em}-\hspace{0.17em}23.5}}{{\displaystyle 287.7}}\hspace{0.17em}-\hspace{0.17em}\frac{{\displaystyle {0.944}^3}}{{\displaystyle (3.46)(0.109)}}$

In Problems 6–12, perform the indicated operations and simplify. When exponents are used, use only positive exponents in the result.

6. ${(2a^0{b}^{\hspace{0.17em}-\hspace{0.17em}2}{c}^3)}^{\hspace{0.17em}-\hspace{0.17em}3}$

7. ${(2x\hspace{0.17em}+\hspace{0.17em}3)}^2$

8. $3m^2(am\hspace{0.17em}-\hspace{0.17em}2m^3)$

9. $\frac{{\displaystyle 8a^3{x}^2\hspace{0.17em}-\hspace{0.17em}4a^2{x}^4}}{{\displaystyle \hspace{0.17em}-\hspace{0.17em}2a{x}^2}}$

10. $\frac{{\displaystyle 6x^2\hspace{0.17em}-\hspace{0.17em}13x\hspace{0.17em}+\hspace{0.17em}7}}{{\displaystyle 2x\hspace{0.17em}-\hspace{0.17em}1}}$

11. $(2x\hspace{0.17em}-\hspace{0.17em}3)(x\hspace{0.17em}+\hspace{0.17em}7)$

12. $3x\hspace{0.17em}-\hspace{0.17em}[\hspace{0.17em}4x\hspace{0.17em}-\hspace{0.17em}(3\hspace{0.17em}-\hspace{0.17em}2x)]\hspace{0.17em}$

13. Solve for y: $5y\hspace{0.17em}-\hspace{0.17em}2(y\hspace{0.17em}-\hspace{0.17em}4)\hspace{0.17em}=\hspace{0.17em}7$

14. Solve for x: $3(x\hspace{0.17em}-\hspace{0.17em}3)\hspace{0.17em}=\hspace{0.17em}x\hspace{0.17em}-\hspace{0.17em}(2\hspace{0.17em}-\hspace{0.17em}3d)$

15. Convert $245\text{ lb}\hspace{0.17em}/\hspace{0.17em}{\text{ft}}^3\text{ to kg}\hspace{0.17em}/\hspace{0.17em}\text{L}\hspace{0.17em}.\hspace{0.17em}$

16. Express 0.0000036 in scientific ...