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_Final Exam[1]

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MAT106 FINAL EXAM Please read these instructions carefully! 1. If you do not show your work in Equation Editor or MathType, you will earn no  points.  2. Use Excel or Graph to plot lines and draw graphs. 3. Reduce all answers to lowest terms. 4. Write your answer explicitly. Use ordered pairs when appropriate. 5. This test must be posted to your Individual Forum no later than midnight in your  time zone on the last day of class. No late work will be accepted. Take your time.  Review your work to ensure your final answer makes sense. NAME 1. Multiply and write the answer in simplest form.     9 8 18 9 WORK: 9 8 8 4 18 9 18 9 × = = ANS: 4 9 2. Divide.     7 1 9 ÷ 1 1 3 WORK: 7 1 16 4 16 3 4 1 1 1 1 9 3 9 3 9 4 3 3 ÷ = ÷ = × = = ANS: 1 1 3 Page 1 of 33

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3. Multiply.    9.692 ∙ 3.7 WORK: 9692 37 ..67844 29076 358604 35.8604 × ANS: 35.8604 4. Evaluate.    4 2  + 2∙7 – (5 ∙ 4 – 15) WORK: 16 (2 7) ((5 4) 15) 16 14 (20 15) 16 14 5 30 5 25 = + - - = + - - = + - = - = ANS: 25 5. Evaluate.    | –36 | WORK: ANS: 36 6. Write the following phrase using symbols.  Use the variable  x  to represent the  number.  8 more than a number WORK: ANS: 8 x + Page 2 of 33
7. Use the distributive property to remove the parentheses in the following  expression.  Then simplify your result if possible. 2( y  + 8) WORK: 2(y + 8)=2 y+2 8 ANS: 2 16 y + 8. Use the indicated property to write an expression that is equivalent to the  following expression.  6   ∙ 13 + 6 ∙ 8          (distributive property) WORK: 6 · 13 + 6 · 8 = 6(13+8) ANS: 6(13+8) 9. Find the median. 39, 20, 35, 13, 28, 41, 24 WORK: 13,20,24,28,35,39,41 ANS: 28 10. Multiply. ( 29 7 30 15 WORK: 7 7 (- )(30) ( )(2) 14 15 1 = - = - ANS: 14 - Page 3 of 33

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11. List the like terms in the following group of terms. –2 v , –7 uv 2 , 9 u 2 v , 4 uv 2 ,  8 uv 2 , –5 u 2 WORK: ANS: 2 2 2 7 ,4 ,8 uv uv uv - 12. Multiply. 4 x y 3  ∙ 2 x 2 y  ∙ 5 xy 2 WORK: ANS: 4 6 40 x y 13. Divide. 3 9 3 9 3 3 2 24 6 n p n p n p WORK: 6 18 6 3 18 3 3 15 3 3 48 8 8 6 n p n p n p n p - - = = = ANS: 3 15 8 n p 14. Solve. 3 x  – 7 = 2 x  + 8 WORK: 3 7 2 7 2 8 2 7 15 x x x x x - - + = + - + = ANS: 15 x = Page 4 of 33
15. Solve.     8 x  – 11 = 2 x  + 1 WORK: 8 11 2 11 2 1 2 11 6 12 6 12 6 6 2 x x x x x x x - - + = + - + = = = ANS: 2 x = 16. Solve.     –6( x  + 3) – 10 = 3(–2 x  – 5) – 13 WORK: 6 18 10 6 15 13 6 28 6 28 x x x x Identity - - - = - - - - - = - - ANS: Identity 17. Solve for  y .       x  + 5 y  = 25 WORK: 5 25 5 25 5 25 5 5 5 5 x y x x y x y x x y + - = - = - - = = - ANS: 5 5 x y = - Page 5 of 33

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18. 2 times a number, increased by 6, is 18.  Find the number.  WORK: Let x be the number 2x+6=18
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