<p>Math 017 Review for Final Exam Part I</p><p>1. Write all of the factors of each of the following. (a) 80 (b) 76 (c) 96 (d) 24</p><p>2. Write the prime factorization of each of the numbers in problem 1 above.</p><p>3. Find the least common multiple (LCM) (a) 24 and 18 (b) 16 and 18 (c) 12 and 15 (d) 15, 18, and 27</p><p>4. Reduce completely. 24 28 21 12 (a) (b) (c) (d) 32 42 35 30</p><p>5. Compute. 6 15 3 5 8 4 3 5 (a)  (b)  (c)  (d) 6  4 25 16 4 8 21 15 8 9</p><p>6. Draw and label a scale on the number line and plot and label the points: 3 A 2.6 B  4 C 5 D  2 4</p><p>7. Compare: (a)  4 ______ 3 (b) 1.9 ______ 4.8 2 5 (c)  ______ (d)  0.02 ______ 0.009 3 7</p><p>8. Compute. (a)  9 (b) 6   4 (c) 32   4 (d)  4 2 6 (e)  3 4 8 (f)  6 12  9 19 8 (g) 14  43  52 (h) 6.7   4.1 (i)  45 58 33 </p><p>9. Evaluate. x y 4x (a) for x = 9 and y = 21 (b) when x = 6 and y =  8 6 y 10. Translate to an algebraic expression: (a) 8 added to b (b) three times a (c) c divided by 2 (d) 9 subtracted from x</p><p>11. Use the formula (a) C  5(F  32) /9 to convert 26.6o F to Celsius. (b) F  9C 5  32 to convert  13 o C to Fahrenheit. Math 017 Review for Final Exam Part I</p><p>12. Without doing any calculations say which property of real numbers justifies each statement. Assume any letters represent real numbers.</p><p>(a) 51723  23517 (b) 1 4  x  1 4 x (c) 5x  8x  5  8x (d) 0  x  x (e) 8      8 (f) 23x  4  23x 24</p><p>13. Simplify and on each step state the property of real numbers used.</p><p>(a) 2x  83x  2 (b) 3x  2y  5x  8y (c) 8  2x  6</p><p>14. Simplify each of the following.</p><p>(a) 8x  6y  32x  9y (b) 432 12 8 (c) 34  253x  7 3 43x  8 42  24  85 (d) 3x  7y  2x  8y (e)  9  6 4 (f) 32 1 15. Solve for x and on each step state the properties used. (a) 43x  6 8  44 (b) 3x  8  29</p><p>16. Solve for x and check your answer by replacing x with your answer in the original equation: (a) 2x  6  8x  36 (b) 3x  4 8  2x  4</p><p>17. Solve for x: 2 5 7 (a) x   (b) 0.3x  0.8  0.9x 1.3 3 8 9 (c) 52x  3 4x  9  8x  7 (d) 6  43  23x  7  5(3x 1)  7x (e) 3x  5  5x  9 (f) 42x  3 6  5x 10 (g) 32x  8 9  4x  9 2x (h) 5x  6  3x 10 2x</p><p>18. Solve C  S (a) D  for S. (b) C  2 r for r. (c) C  5F  32/ 9 for F. t</p><p>19. Solve for x and sketch the graph on the number line. (a) 4x  3  5x  3 (b)  2x  11 (c) 2x  8  4x 1 Math 017 Review for Final Exam Part I</p><p>20. Using the graph below: (a) estimate the stock price at 11am. (b) estimate the time of the lowest stock price.</p><p>1 21. Plot and label the points A3,5,B6,1, C 4,3, D0,3 2 , E2,0 .</p><p>22. Plot at least 5 points and sketch the graph. 1 (a) y  x 2  6 (b) y  x  4 (c) y  (d) y  2 x  2 (e) y  2x  5 (f) 2x  5y  15 (g) 2x  6y  0 (h) x  3</p><p>23. Use algebra to solve the following. (a) 65 is 13% of what number? (b) What is 38% of 45? (c) 64 is what percent of 80? (d) 33 is 12% of what number?</p><p>(e) If a restaurant bill including a 15% tip comes to $37.95 how much was the original bill?</p><p>(f) You sell newspapers for 70 cents each at a newsstand. You pay 45 cents for each newspaper sold and you also pay $200 to rent the newsstand. How many newspapers do you need to sell in order to break even? </p><p>(g) If an 81-inch pipe is cut into two pieces such that one piece is twice as long as the other, how long is each piece?</p><p>(h) Find two consecutive integers such that twice the first integer added to three times the second integer is 93. </p>