1. The diameter of the earth is approximately 7,920 miles. Given the circumference of a circle is \[\pi \] times its diameter, which statement best describes the length of a trip from Washington to Madagascar that is approx 8,600 miles long?
   1. one fourth of the circumference of the Earth
   2. Three tenths of the circumference of the Earth
   3. One third of the circumference of the Earth
   4. One half of the circumference of the Earth
2. A large petroleum storage facility has a capacity of 285,000 cubic feet. Express this capacity in gallons given that there are 7.481 gallons per cubic feet.
3. Evaluate \(|-30|\times \left| \frac{1}{5}-\frac{1}{3} \right|\)
4. If points A, B and C on a coordinate line have coordinates -5, 3 and 10 respectively, find d(A,C) + d(B,C)
5. If points A,B and C lie on a coordinate line and points A and B have coordinates 6 and 12 respectively then which of the possible coordinates for point C satisfy d(A,C)<d (B,C)?
   1. 4
   2. 8
   3. Both (a) and (b)
   4. Neither (a) nor (b)
6. Simply the expression: \({{\left( 6a{{x}^{4}} \right)}^{2}}{{\left( 2x \right)}^{-2}}\)
7. Simplify the expression: \(\frac{\sqrt{20}}{\sqrt{15}}\)
8. Express as a polynomial x(x+2)+3(3x-5)
9. Express as a polynomial(x-4)(2x+3)

11. Express as a polynomial (5x+3) \[^{2}\] \[\]

1. Factor the polynomial: x \[^{2}\] - 5
2. Factor the polynomial x \[^{2}\] - 7x+6
3. Factor the polynomial: \(3{{x}^{2}}+4x+1\)

15. Simplify the expression \(\frac{1}{y}-\frac{1}{y-3}\)

16. Find the solution to the equation: 4x+3 = 7x-12

1. Find the solution to the equation \(\frac{1}{2x-5}=\frac{3}{x+5}\)
2. Find the value of k for which x=4 is a solution to the equation 3x + k=23
3. When two resistors R \[_{_{1}}\] and R \[_{2}\] are connected in parallel, the net resistance satisfies the equation \[{}^{1}/{}_{R=}{}^{1}/{}_{{{R}_{1}}}\] + \[{}^{1}/{}_{{{R}_{2.}}}\] solve this equation for R \[_{_{1}}\] in terms of R and R.
4. Express (7+3i)-(2-3i) in the form a + bi where a and b are real numbers.
5. Express \[\frac{3+i}{1+2i}\] in the form a + bi where a and b are real numbers
6. Find the solutions to the equation: x \[^{2}\] - 7x + 10= 0
7. Find the solutions to the equation: (x – 16) \[^{2}\] = 4
8. Find the value of k that complete the square for x \[^{2}\] + 10x + k

25. Use completing the square or the quadratic formula to find the solution to the equation x \[^{2}\] - 4x +2 = 0

1. Find the solution to the equation : x \[^{2}\] + 2x + 5 = 0

27. Find the solution solutions to the equation: x + \[{}^{7}/{}_{x}=8\] \[\]

1. A baseball is hit into the air so that the number of feet above the ground after
   t seconds is given by s= -16t \[^{2}\] +96t. How long will it take to first reach a height of 144 feet above the ground?
2. Find the solution to the equation: \[\] \[\] \[\left| 2x-14\left. {} \right| \right.\] = 6
   30. Solve the equation x – 3 - \[2\sqrt{x+2=0}\]
3. Solve the inequality 7 < 4x + 3 \[\le 21\] and express the solution as an interval
4. Solve the inequality \[\] \[\frac{-18}{6x-42}\] > 0 and express the solution as an interval
5. Solve the inequality 2 |x- 10 | < 3 and express the solution as an interval
6. Solve the inequality (x+1) ( x -6) <0 and express the solution using interval notations
7. An object is shot upward with an initial velocity of 240 feet per second so that its height (in feet) above the ground after t seconds is given by s= -16t \[^{2}\] + 240t. For what values of t will the object be at least 416 feet above the ground?
8. Find the distance d(A,B) between the points A(-1, 0) and B (4,3)
9. Determine the point A(x, y) so that the points A(x, y), B(0,3), C(1,0), D (7,2) will be the vertices of a parallelogram
10. Find the midpoint of the line segment from A(-2,9) to B(4,5)
11. Find the point on the positive y-axis that is a distance 5 from the point P(3,4)
12. Find the x-intercept and y-intercept of the equation 5x – 3y =30
13. Give the equation for he circle with center C(3, - 2) and radius 4.
14. Give the center of the circle with equation x \[^{2}\] + 2x + y \[^{2}\] -10y + 22= 0
    42. Find an equation for the line with slope ½ and y-intercept 3.
15. Find the slope of the line through the points A(-1 ,6) and B(5,2)
16. Find an equation for the line with y-intercept 3 is perpendicular to the line
    y= 2/3 x-4
17. Fahrenheit and Celsius temperatures are related by the equation F = \[{}^{9}/{}_{5}\] C+32, where F is the temperature in degrees Fahrenheit and C is the temperature on the Celsius scale. If the temperature is a balmy 77 degrees Fahrenheit, what is the temperature on the Celsius scale?
18. If f(x) = x \[^{2}\] + 5, find f(a +h) – f(a)
19. From a square piece of cardboard with width x inches a square of width x- 3 inches is removed from the center. Write the area of the remaining piece as a function of x.
20. If P(4, -5) is a point on the graph of the function y = f(x) find the corresponding point on the graph of y =2f( x-6)
21. Explain how the graph of \(y-5={{\left( x-3 \right)}^{2}}\) can be obtained from the graph of y = x \[^{2}\]
22. Determine the vertex of y = x \[^{2}\] - 8x + 22
23. An object is projected upward from the top of a tower. It distance in feet above the ground after t seconds is given by s(t) = -16t \[^{2}\] + 64t + 80. How many seconds will it take to reach the ground level
24. Find the maximum value of y = x \[^{2}\] + 6x
25. Several values of the two function f and g are listed in the following tables

Find (f \[\circ \] g) (6)

53. Given f(x) =5x+7 and g(x) = x \[^{2}\] + 7, find (g \[\circ \] f) (x)

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