Chapter 1 Test for AI.docx

**Study Guide for Test 1** Simplify. [ ]{.math.inline} 1. [ − 4(15)]{.math.inline} [ ]{.math.inline} 2. [ − 5 − ( − 2)]{.math.inline} [ ]{.math.inline} 3. [ − 6 − 2 + 5 − ( − 2)]{.math.inline} [ ]{.math.inline} 4. [( − 2)( − 8)( − 4)]{.math.inline} 5. [( − 3)^2^]{.math.inline} [ ]{.math.i...

**Study Guide for Test 1** Simplify. [ ]{.math.inline} 1. [ − 4(15)]{.math.inline} [ ]{.math.inline} 2. [ − 5 − ( − 2)]{.math.inline} [ ]{.math.inline} 3. [ − 6 − 2 + 5 − ( − 2)]{.math.inline} [ ]{.math.inline} 4. [( − 2)( − 8)( − 4)]{.math.inline} 5. [( − 3)^2^]{.math.inline} [ ]{.math.inline} 6. [8^0^]{.math.inline} [ ]{.math.inline} 7. [ − 90 ÷ ( − 6)]{.math.inline} [ ]{.math.inline} 8. [\|12\| − \| − 3\|]{.math.inline} [ ]{.math.inline} 9. [\$- \\frac{10}{21}\\left( - \\frac{9}{25} \\right)\$]{.math.inline} 10. [\$- \\frac{3}{8} + \\frac{5}{12}\$]{.math.inline} [ ]{.math.inline} 11. [3 + 2(4 − 6 ÷ 2 × 3)]{.math.inline} 12. [\$\\frac{12}{35} \\div \\left( - \\frac{8}{25} \\right)\$]{.math.inline} 13. [ − 3(4 + \|3 − 2\| + 2)]{.math.inline} 14. [ − \| − \|3\|\|]{.math.inline} 15. Convert 26.2 mi to kilometers using [1*mi* = 1.6 km]{.math.inline}. 16. Translate the phrase to a numerical expression, then evaluate the expression: the sum of the reciprocal of two and the opposite of three. 17. Graph each point on the number line. \ [\$\$A: - 6;B:2.5;C: - 3\\frac{1}{4};D:7\$\$]{.math.display}\ \ [\$\$\\begin{matrix} - 10 & - 9 & - 8 & - 7 & - 6 & - 5 & - 4 & - 3 & - 2 & - 1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\\ \\end{matrix}\$\$]{.math.display}\ 18. A segment has endpoints with coordinates -3 and 4. a\. Find the length of the segment. b\. Find the coordinate of the segment\'s midpoint. 19. Label the five subsets of the real numbers illustrated in the diagram below. Real Numbers  20. Place each of the following numbers in the appropriate area of the diagram above to illustrate the set(s) to which they belong: [\$- 2,3,\\frac{1}{4},\\sqrt{5}\$]{.math.inline}. Using the following sets, list the result of each set operation and sketch a Venn diagram illustrating the operation. [*A* = {1, 2, 3, 4, 5, 6}, *B* = {2, 4, 6, 8, 10, 12}]{.math.inline}, and [*C* = {3, 6, 9, 12}]{.math.inline} [ ]{.math.inline} **21.** [*A* ∪ *C*=]{.math.inline} \ [▫]{.math.display}\ 22. [*B* ∩ *C*=]{.math.inline} [▫]{.math.inline}\ Name the property illustrated by each equation. 23. [ − 10 + 8 = 8 + ( − 10)]{.math.inline} 24. [ − 8( − 5 + 3) =  − 8( − 5) + ( − 8)(3)]{.math.inline} 25. What conclusion can you draw about a nonzero real number if its absolute value is equal to its opposite?