Name: __________________________________________
GT/PAP Algebra 2 Summer Assignment
Please do all work on separate notebook paper. Copy each problem and show all of your work.
I. Simplify the following expressions.
1. 6 x  2 y  3x  2 y
3. 8xy  7 y  (3  6 y)
2. 4(14c  10d )  6(d  4c)
4.
1
3
(17  4 x)  (6  16 x)
2
4
II. Solve the following equations for the variable.
5. 3 y  16  22
10.
1
1
x2 x
2
3
6. 4 x  7  9 x  13
11.
4
x  7  16
5
7.  7 x  15  2 x
12. 10 x  6  8  2( x  6)
8. 24 
9.
x
6
3
2
1 1
1
x  x
3
4 6
9
13. 34  10w  6w  2
14. 3( x  4)  4( x  8)  10  5( x  3)
III. Solve the following word problems.
15. The high school principal has given Mrs. Hill $420 to buy tickets to Phantom of the Opera
for her English class and chaperones. The school requires that there be one adult chaperone for
every five students on such a trip. How many $15.00 student tickets and $30.00 adult tickets can
she order?
16. You have $32 to spend on supplies for your science fair project. If you buy two plants for
experiments, you will have $18 left for other supplies. How much is each plant?
Name: __________________________________________
IV. Solve each equation for the indicated variable.
17. 4 x  3 y  15 ; for y
1
21. v  r 2 h ; for r
3
18. PV  nRT ; for R
22. F  G
19. P  2l  2w ; for w
23. V  r 2 h ; for h
20.
x
 h  4 ; for x (r0)
r
24.
mM
; for r
r2
1
 a  b ; for x (x0)
x
V. Solve each inequality. State your solution set. Graph your solution.
25. 2 x  10  34
28. 2 x  3  2( x  5)
26. 15  5t  55
29. 2  3x  12  7(8  2 x)
27.
4
s  4  12
3
30. 5( x  1)  5x  4
Write an equation of the line described. Write the equation in slope-intercept form.
31. The line with slope
5
and a y-intercept of –2.
3
32. The line passing through (-4, 6) and parallel to the line y  3x  8 .
33. The line passing through (1, 2) and perpendicular to the line y  4 x  3 .
34. The line with an x-intercept of –1 and a y-intercept of 6.
35. The line passing through (8, 3) and (2, -1).
Write an equation of the line described. Write the equation in standard form.
36. The line with a slope of –2 and y-intercept of 8.
37. The line with a slope of
3
and passing through the origin.
5
Name: __________________________________________
38. The line with a y-intercept of –6 and parallel to the line 5x  4 y  1
39. The line through (-1, 4) and (5, 8).
40. The horizontal line through (5, -7).
41. The line passing through (-2, 4) and perpendicular to the line through (1, 1) and
(5, 7).
Graph the following linear equations.
42. y  3x  1
43. y 
1
x4
2
44. y  x
45. 5x  2 y  4
46.  2 x  3 y  9
47. x  3
48. Given f ( x)  x 2  2 x  9 and g ( x)  ( x  1) 2 , evaluate f (a  1)  g (a  1)