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Review of Algebra and Geometry
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1.Solve: 5/0 = 2.Solve: 0/5 = 3.Does ? Why or Why not? 4.Does ? Why or Why not? 5.Does ? Why or Why not?
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6.Does ? Why or Why not? 7.Factor: 9x 4 - y 6 8.Rewrite x 2/5 without using exponents. 9.Rewrite x -3 without using negative exponents. 10.Does (abc) 4 = a 4 b 4 c 4 ? Why or why not?
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11.Does (a+b+c) 4 = a 4 +b 4 +c 4 ? Why or why not? 12. Does ? Why or why not? 13.Rewrite using a single radical: 14. Solve: 5x 2 = 3x + 8 15.Solve: | 3x+2| > 14
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16.Rewrite using exponents: log 3 9 = 2 17.Rewrite using a single log: log 4 10 – log 4 5 18.Rewrite using a single log and solve: log 5 + log 200 x 19.What is the area and hypotenuse of this rt. triangle?:
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20. Find the legs of the rt. triangle10 if A = 30 0 : a A b 21. Find the sides of the rt. triangle c if A = 60 0 : 8 A b
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22.What is the total area of the pentagon if A and B = 60 0 each? What is the perimeter? A B 10
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23. Find the area of the parallelogram if A = 45 0 : 4 A 10
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24. Find the slope of PQ. What is the distance from P to Q in the figure? What is the midpoint of PQ? Q (c, d) P (a, b)
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25. If the slope of a line is 3, what is the slope of a line parallel to it? What is the slope of a line perpendicular to it? 26. Which of the four relations is a function and why? x 2 +y 2 =1 y=|x| x=y 3 -5y 2 +10 y=sin x
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27. Write an equation of a line in standard form that contains the points (3, 4) and (6, 0). 28. If is an angle between and Sin = 3/5, find Cos.
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29. What is the balance after 6 yrs. if you invest $3000 at 6.5%, compounded monthly. 30. A pizza parlor has a small cheese pizza for sale for $6 and a large one for $18. The radius of the large pizza is twice the radius of the small pizza. You and some friends can afford to buy 1 large or 3 small pizzas. Which is the better deal and why?
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