Download 5, c = 4, d = -1 - Hackettstown School District

CPA Algebra 2
Summer Assignment
CPA Algebra 2 requires a solid foundation in Algebra I to be successful. Topics
that require mastery include but are not limited to simplifying expressions, solving
algebraic equations, graphing linear equations, writing linear equations, solving
systems of equations, and factoring polynomials. The problems contained in this
summer assignment are considered prerequisite material, and it is important for
your success in the class that you have mastered them prior to beginning your
studies in CPA Algebra 2.
This review packet will be collected the first day of school. All students must turn
in the assignment and it will count for the first grade of the first marking period.
Show all work to receive credit. You are highly encouraged to review as
necessary by using internet resources, etc…
An assessment will be administered in class in during the first week of school to
ensure that all students enrolled in this course have mastered the necessary
algebraic skills to be successful at the CPA level in Algebra 2. It will count as the
first exam grade of the first marking period. You are highly encouraged to seek
assistance from your teacher when you return in September if you have questions
on a few problems or particular topic prior to this assessment to ensure you do
well.
All students enrolled in CPA Algebra 2 are required to have a TI-84 graphing
calculator for their use both in class and at home throughout this course.
Name______________________________________________________________
Teacher__________________________________
Block_________________
CPA Algebra 2
Name_________________________
Summer Assignment
Block ________________________
Let a = 3, b = –5, c = 4, d = –1 substitute and simplify the following expressions
1)
5c + a – b
2)
ab – d2
3)
b2 – a2
4)
c2 – (a – d)2
5)
-2b + ac2
6)
ac3 – b2d
Name the property illustrated by each equation.
7)
½ (x – 8) = ½ x – 4
8)
27 · n = n · 27
9)
(2r + 3r) + 4r = 2r + (3r + 4r)
10)
0+z=z
11)
–¼ · –4 = 1
12)
15x(1) = 15x
13)
0.6[25(0.5)] = [0.6(25)]0.5
14)
(10b + 12b) + 7b = (12b + 10b) + 7b
14) Give the additive and multiplicative inverse of -¾
Name the set(s) of numbers to which the each number belongs.
15)
16)
−√𝟗
√𝟒
17)
1.25
18)
√𝟓𝟎
19)
0
20)
3¾
Simplify each expression
21)
–2x + 9y –4x + 3y
22)
2(7x – 5z) – 5(8x – 3y)
23)
½(4a – 64) + ⅓(12b – 6a)
24)
7 – 9x – (13x – 12)
26)
(2x + 3)(8x – 6)
FOIL and simplify completely.
25)
(x – 8)(x – 3)
Factor each polynomial completely.
27)
64 – x2
28)
x2 + 11x + 18
29)
4x2 – 8x – 60
30)
25x2 – 81
31)
3x2 – 27
32)
x2 + 24x + 144
33)
6x2 – 26x + 8
34)
18x2 – 23x + 6
Solve each equation. Check your solution.
35)
3s = 45
36)
17 = 9 – a
37)
5t – 1 = 6t – 5
38)
–8 = –2(z + 7)
39)
7 – ½x = 3
40)
5(4 – k) = –10k
41)
4n + 20 = 53 – 2n
42)
5
n
2
43)
2x + 75 = 102 – x
44)
= 98 – n
3
4
120 – y = 60
Solve each equation or formula for the specified variable.
45)
a = 3b – c, for b
46)
47)
3(2j – k) = 108, for j
48)
2xy = x + 7, for x
3𝑝𝑞
𝑟
= 12, for p
49) Solve the system by graphing.
y  x7
10y – 40 = 4x
50) Solve the system using substitution. Provide a complete check of your solution.
x – 3y = –11
3x – 5y = –5
51) Solve the system by elimination. Provide a complete check of your solution.
2x – 5y = 10
–3x + 4y = –15
52) Using the given information, write the equation in slope-intercept form.
a) A line with a slope of -5 and passes through the point (6, –1)
b) A line that passes through the points (5, 7) and (1, 5)
c) A line parallel 3y – 2x = –10 and passes through (9, 0)
d) A line perpendicular to 2x – y = 4 and passes through (8, –6)