Hey, I'm a high school student and recently came back to school after a long period of absence (appendicitis :() and my teacher gave me a 2-page packet with a bunch of problems from the chapters I missed, and he gave me all the notes to learn how to do them on my own. I am struggling very much and these problems are due tomorrow! I would greatly appreciate if anyone could help me out, even if you just solve 1 or 2.

1. Find the slope of the line between the points (-10, -4) and (-3, -3)

2. Write the equation in slope-intercept form for the line that contains the point (-2,7) and is parallel to y = 3x – 4

3. Write an equation in slope-intercept form for the line that contains the point (8,-1) and is perpendicular to the graph y=4x-3

4. Solve for x in the proportion 6x-3/9 = 3x/8

5. Use the table provided to (a) Write the linear regression equation and (b) tell how many students were enrolled in AP statistics for the 4th year.

Year 1 2 3 5 6 7

Enrollment 33 30 43 47 58 65

6. Solve for x in the following equation 2/5x + 6/5 = x-3

7. Solve and graph the solution(s) for the following inequalities 2x – 3 > 1 or 3x+7 < 1

8. Solve and graph the following |3x+2| > 4

9. Simplify the expressions completely by leaving only positive exponents:

(3x^3 y^2 / y^-1)^3 (x^-2 / 2y^-1) ^-3(3y/x^-4)^-2

10. Tell whether or not the following equation represents a function. Then give the domain, range, and zeros. f(x) = 9 – x^2

11. Let f(x) = 4x^2 and g(x) = 2x-3. Find each of the following:

a. (f – g)(x) b. (f x g)(x) c. g ( f (x) )

12. Find the inverse of the following function. Then use the composition of functions to prove that your equations are inverses of each other. f ( x ) = x-1 / 3

13. Graph the following piecewise function and give the domain, range, and zeros.

f (x ) = {2x + 3, x<4

{x -1, 4 < x < 9

14. Solve the following systems of equations:

a. {s = 9 + 5t b. {3x + 2y =12

{2s = 30 – 2t {5x-3y = -18

15. A lab technician is trying to make an 8% solution by combining a 2% and 12% solution. If he is trying to make a 150mL solution, how many mL of each solution should be mixed?

16. Graph, shade the feasible region and label the corner points for the following system of inequalities: {y < -2x -2

{y > 1/2x

{x > -3

17. Write the pair of parametric equations as a single equation of and y

{x ( t ) = 3t -1

{y ( t ) = t + 4

18. Let A = [ 8 4 ] and b= [6 -2] Show each of the following: A – B and BA

[4 1 ] [0 4]

19. Let C = [2 4] Find the inverse of C.

[1 0]

20. Solve the following system of equations: { -3x + 6y – 4z = 8

{x + 2z – 4y = -3

{8y=z

21. Solve 4(x+5)^2 = 20. express the answer exactly and if necessary, rounded to the nearest tenth.

22. Factor 2x^2 – 10x – 48 =0 and solve for x

23. Find the exact values of x in the following quadratic equation. 2x^2 – 5x -12 = 0

24. Simplify the following complex number: 3 + i / 2 – 3i

25.Solve the Inequality 4x – 1 > 8 – x^2 and graph it on a number line.