Download Algebra II with Trigonoemtry

UNIT 1: (PURPLE
A.
B.
C.
D.
ALGEBRA 2 – MA8212
MIDTERM EXAM REVIEW – PART I
NOTES)
Number Systems (1.1)
Evaluate & Simplify Algebraic Expressions (1.2)
Solve Linear Equations (1.3)
Rewrite Formulas and Equations - Literal Equations (1.4)
The Number Systems:
Real
Numb
ers
1)
2)
Use the above diagram to name the subsets of the real numbers to which each
of the following belong.
a)
c)
e)
-0.05
2/3
-15
b)
d)
f)
0.666…
12
g)
0
h)
2 7
List the elements from least to greatest.
CR 1/09
-0.033
-5,
1
5
3, , - , 2
2
3
1
3)
Simplify each numerical expression. (Use PEMDAS)
a)
4)
5)
2(-1 + 3) - 42  8
b)
2(3 + 18  9) – 7
Let a = 2, b = -3 and c = 5 and evaluate the following.
a)
a - bc
c)
-2 a + b2
b)
2
(
)
d)
-ab - b2
c
(
2b + a
)
2
Simplify each expression by combining like terms.
a)
CR 1/09
( )
4 r + 2 - 5(r - 7)
b)
(
) (
)
- 2y - 3 + 4 6 - y - 11y
2
6) Solve the following equations. (Check your work by plugging in your answer.)
a) 5x – 4 = 16
b)
-3(4r – 8) = -36
c) 3x – 7 = 8x + 13
d)
15(x - 2) = -13(x + 1) + 11
e) 6(6x + 6) – 5 = 1 + 6x
f)
x + 2 2x - 1 10 + x
+
=
4
3
6
CR 1/09
3
7)
Solve for the specific variable.
e) 6x – 2y = 8 for y
f)
V = r2h for h
UNIT 2 – PINK NOTES
A. Properties of Exponents (5.1)
B. Scientific Notation (5.1)
10)
Simplify each expression involving exponents. (ALL POSITIVE EXPONENTS!)
Here is a reminder of some of the Exponent Rules:
x a · x b = x a+b
a)
c)
e)
CR 1/09
( )
x7
3
x5 ix
3y5
12y
2
(-3a6bc-3)(-5a-7b1)
= x 21
x 10
x 14
=
1
x -5
x4
y8
b)
-5h-3
d)
æ 12a 3b4 ö
ç
÷
ç 15a 7b ÷
è
ø
f)
(-2xy3z10)5
=
1
x 5y 8
3
æ 2x 5 ö 8x 15
ç
÷
ç 10 ÷ = 30
z
z
è
ø
2
4
g)
h)
8x -1y 4
i)
j)
(4x)2 y -9
k)
11)
(3a)2(a8b0)
æ 5a -3b 4 ö
ç
÷
8
è 7a b ø
2
l)
(7ky4)(-2k2y-2)3
-3x 3y 7
9xy -3
-7xy 3
3x 5
·
6xy -3
21x -2y 4
Evaluate and put the following expressions in scientific notation.
a)
c)
CR 1/09
56,019,000
b)
( -6.7 ´ 10 ) (2.0 ´ 10 )
5
5
d)
0.05 ´ 1012
2 ´ 106
8 ´ 10-8
5