Pre-AP Algebra 2 Summer Review Worksheet

Name: ____________________________________________________________________
Pre-AP Algebra 2 Summer Review Worksheet
This worksheet is to be completed over the summer. It will be due on the 1 st day of
class in Pre-AP Algebra 2. Anyone who does not turn in this assignment will be
given a 0. There will be no late grades for this assignment. All work shown be
done on notebook paper and attached.
Solve each equation and justify each step.
1. 4t + 13 = 5
2.
6.3 = 2x - 4.5
3. -2(d + 6) = -10
4.
-5v = 6v + 5 – v
5. 2y + 3 = 3(y + 7)
6.
3(t + 7) + 2 = 6t -2 + 2t
Solving each system of equations by the indicated method. Write your answers as ordered pairs.
7. Solve
by using substitution.
8. Solve
by using elimination.
9. Solve
by using elimination
10. Solve
by using elimination
11. Solve
by using substitution
Name: ____________________________________________________________________
Factor each expression. If the expression cannot be factored, write “prime.”
12. x2 – 14x + 49
13.
x2 – 9x + 18
14. 25x2 – 9
15.
x2 + 4
16. 7x2 – 50x + 7
17.
x3 + 6x2 -7x
18. x3 – 9x
19.
4y2 - 36
20. (2x - 5) (x + 3)
21.
(x – 8) (x – 12)
22. (5x + 6) (5x – 6)
23.
(x + 8)2
Simplify each expression
Solve each quadratic by factoring or by quadratic formula.
24. 7x - 10 = x
25.
x - 14x = -49
26. x - 49 = 0
27.
a - 4a = 21
29.
x-y=1
Graph the given line using x- and y- intercepts.
28. x - 4y = 4
y
–5
–4
–3
–2
y
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
1
2
3
4
5
x
Name: ____________________________________________________________________
Find the slope of the line containing the two given points.
30. (3, -1) and (4, 6)
31.
(-12, 6) and (-10, -10)
32. (-2, -1) and (6, 5)
33.
(3, 5) (-6, -4)
35.
2y + x = 6
Graph each line using slope-intercept form.
34. y - 2x = -4
y
y
5
5
4
4
3
3
2
2
1
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–5
–2
–1
–1
–3
–3
–4
–4
–5
–5
Find the equation of each line using the given information.
and containing the point (8, -3)
37. Slope of 3, containing the point (-1, -4)
38. Contains the point (0, 2) and (2, 6)
39. Contains the points (-3, 6) and (2, 1)
40. Parallel to y = 2x - 5, passing through the point (4, -1)
41. Parallel to y =
–3
–2
–2
36. Slope of
–4
x - 2 and passing through the point (-4, 1)
42. Perpendicular to y =
x + 5, passing through the point (-6, 5)
43. Perpendicular to y = -2x - 4, and going through the point (-8, 5)
1
2
3
4
5
x
Name: ____________________________________________________________________
Simplify.
44.
54
56.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
Name: ____________________________________________________________________