### Simplify 5x 3{2x 2[x 2(1 x)]}

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1. Simplify 5x 3{2x 2[x 2(1 x)]}

2. Find the product ?5x4y ?10xy3

3. ((9+3x)/(x+1))/((9-x^2)/(x^2-1))

4. Simplify the expression -3(4x 2) 2(5x 4)

5. Solve the formula for b: A = bh

6. Solve the equation (4m 2) - 2(4m 2) = 15

7. A farmer has 2000 feet of fencing available to enclose a rectangular field. One side of the field is a river, so only three sides require fencing. Express the area A as a function of x, where x is the length of the side parallel to the river.

8. If f(x) is a linear function such that f(-2) = 4 and f(3) = 14, which of the following could represent f(x)?

9. The length of a rectangular poster is one foot more then the width and the diagonal of the poster is 5 feet. What are the length __ and width _____ ?

10. The function w(x) = -0.01x + 0.27x + 8.60 can be used to estimate the number of self-employed workers in America in millions, x years after 1980. For what years were there (or will be there) 9.7 million self-employed worker in America?

11. Solve using the quadratic formula 2x + 2x = 3

12. Write in lowest terms: b + 6b - 16

b + 5b 24

13. Solve the inequality |-2x - 5| ? 6

14. If i = ?-1, then (i + 1)(6i 10) is equivalent to

15. Find the area of the following triangle.

16. Find the missing side of the triangle.

17. Solve for p from this formula from optics.

1/F = 1/m + 1/p

1. Jan plans to invest \$7500, part at 4% simple interest and the rest at 5% simple interest. What is the most that he can invest at 4% and still be guaranteed at least \$325 per year?

2. The following equation y = 6x + 121, estimates the number of faculty members at two year colleges, in thousands, where x is the number of years after 1970. For what year will there be more than 360,000 faculty members?

3. Find the zero for the function f(x) = 4x - 11x - 3

4. Which of these functions is(are) always increasing?

(I) f(x) = -x2 + 2x + 1

(II) f(x) = 2x - 1000

(III) f(x) = |x - 4| + 255

(IV) f(x) = -e-x,

1. Solve 3x - 2 = -4x

2. Use synthetic division to find the function value for f(x) = x - 6x +11x -6, find f(3)

1. The ____ of a line containing (x1, y1) and (x2, y2) is given by

2. To stop a moving car takes some time and distance. The stopping distance d of a car after the brakes have been applied varies directly as the square of the speed r. If a car traveling 60 mph can stop in 200 feet, how fast can a car travel and still stop in 72 feet?

3. Science problem concerning a rocket. S(t) = -16t + 80t + 224 is the function that represent the height of a rocket. In this equation, given the height S, in feet, of a model rocket launched with a velocity of 80 ft/sec from a hill that is 224 feet high, where t is the time in seconds. When will the rocket reach the ground?

4. Leslie deposit \$3000 into a CD and is earning 5% interest , compounded quarterly. What will be the value of the CD after 10 years?

5. Find the x intercepts and the zeros of the function

f(x) = 2x -13x -7

1. Solve for x, where log4 x = -3

2. Find the distance between the points (-2, 3) and (4, -5)

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