Algebra II Pre-AP Summer Assignment
Please answer the following questions on notebook paper and put the graphs on graph paper.
There will be a quiz over these Algebra I skills on the second day of class.
Solve.
Multiply the following expressions.
1. 8x + 11 – 6x = 5x + 35
2
2. 2x + 4(x + 1) = 6(x + )
3
3. –4(2n – 5) = –8n – 20
5
2
4. 𝑥 = 𝑥−3
1
5. 2(x – 3) + x = 17 + 3(4 – x)
6. −2𝑥 + 4 ≥ 3
7. S = Ph + 2B, solve for B.
Graph each line on graph paper.
2
x+5
3
9. 5x – 2y = 10
10. 8x – 6y = –12
8. y = –
Find the equation of the line:
11. that passes through (–5, 7) and (3, –4).
12. that passes through (8, -1) and is parallel
to 5x – 2y = 10.
13. that passes through (30, 6) and (30, 2).
14. that passes through the origin and is
perpendicular to 8x – 6y = –12.
15. that has an x-intercept of 315 and yintercept of –70.
Simplify each expression. Assume all
variables are non-zero.
16. (-5x5y-3z8)3
17. 7g2h3(-2h5k0)-3
24𝑚7 𝑛3
18. (
4𝑚𝑛−5
−2
)
Solve each system of equations.
 y = 4x
19.  3x + 21y = 29

 3x + y = 7
20.  -3x + 2y = 11

 6x – 3y = -6
21.  -5x + 7y = 41

22. (4x + 3)2
23. –3xy(4x – 3y – 1)
24. (3x + 2)(4x – 5)
25. (5x – 1)(2x2 + x – 8)
Factor andsolve each of the following
equations.
26. c2 + 9c + 18 = 0
27. x2 = 9x
28. -x2 + x = -30
29. 6x2 – 7x – 3 = 0
Use the information below to answer #3034.
Dan shaved off all of his hair some time ago.
Now his hair is 6 cm long. Three weeks ago it
was only 4.8 cm long. Let x be the number of
weeks that have elapsed after the present, and
let y be the number of centimeters long his hair
is.
30. Write the pieces of information about
hair length and time as ordered pairs.
31. Find the slope of this linear function. Tell
what it represents.
32. Write an equation for this function.
33. Sketch a graph of this linear function
over the appropriate domain.
34. How long ago did Dan shave off his hair?
Where is this represented on the graph?
Use the information below to answer #3537.
A rectangle’s length is 1 less than twice its
width.
35. Write an expression for the perimeter.
36. Write an expression for the area.
37. If the area of the rectangle is 28, find the
perimeter.
Rational Expressions
8𝑥
12𝑦
38. 3𝑦 ∙ 16𝑥
40𝑒
30𝑓
39. 17𝑓 ÷ 51𝑒
3
2
40. 𝑎𝑥 − 𝑎𝑦