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Algebra 2 CP
Midterm Review Sheet
Name
Date
Real Numbers and Equations (Unit 1)
1) Name all the subsets of the real numbers to which 0 belongs.
2) Name all the subsets of the real numbers to which 
3
belongs.
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3) Name all the subsets of the real numbers to which -4 belongs.
4) Name all the subsets of the real numbers to which 1.45454545... belongs.
5) Simplify: 2 12  5  7 7  9  7 6 12


6) Simplify  5  9  7  2 
3
7) Simplify: 9  3  2 + 7  3 x 4
8) Evaluate:
5(2k  3)  3(k  4)
for k = -2
3k  2
9) Evaluate: 5x2 +3xy  5 for x = -2 and y = 4
10) Name the property illustrated by: 5( + 2) = (2 + )5
11) Name the property illustrated by: 7+3+0 = 7+3
12) Name the property illustrated by: 2 + -2 = 0
13) Solve: 5(x - 2)  4(x +1) = 50
14) Solve: -5x + 3 = -12
15) Solve: x – 5(x + 2) = 30
16) Solve:
2x 2 x
 
3
6 2


17) Solve: 2x  3 x  7  x  3
18) Solve: -5x + 15 = -30
19) Solve: 6(x – 4) – 4x = 20
1
Period
20) Write the equation for the following: Three times a number increased by twelve is ninety.
21) Solve for T and indicate any restrictions on the values of the variables: D = ET
22) Solve for h and indicate any restrictions on the values of the variable: A =
1
bh
2
Radicals (Unit 2)
23) Simplify:
24) Simplify:
98
3
27x 81 y12
25) Multiply: 3 7x 3  2 21x 3 y 2
96
8
26) Simplify:
3xy 2
27) Simplify:
28) Multiply:
5xy3
 4  2 3  4  2 3 


29) Multiply: 5  2 5 3  4 5
30) Multiply:
2

 5  2 7
31) Simplify: 5 27  4 48  75
32) Rationalize:
3 5
1 5
Polynomials (Unit 4)
33) Simplify: (5x5y2)2
34) Simplify: (7xy3)2(x4y2)
Alg 2 CP – Midterm 2010
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 2y 
35) Simplify:  
 5x 
2
36) Subtract: (3x3 +4x2  21)  (x3 + 12x2  7x  25)
37) Add: (9x2y + 2xy2  5xy ) + (7xy  4xy2  8x2y + 1)
38) Multiply: (5x + 1)(5x  1)
39) Multiply: (x + 7)2
40) Multiply: (x  3)(3x + 2)
41) Multiply: (3x  1)(x2 + 4x  8)
Factoring Polynomials (Unit 6)
42) Find the GCF of 12, 44, and 28
43) Find the GCF of 8x 2 y3z, 18xy2 , 24xyz
44) Factor: 6xy2  48x 3 y4  54x 5 y6 z
45) Factor: 16a 2 b5c6  72ab3c2  32a 4 b7c4
46) Factor: x2  16
47) Factor: 4x2  169
48) Factor: 25x2  40 xy + 16 y2
49) Factor: x2 +10x  75
50) Factor: 16x2  9y2
51) Factor: 25x2 + 36y2
52) Factor: 12x2  16x 35
53) Factor completely: 3x2 + 24x + 45
54) Factor: 8x3 + 27y3
55) Factor completely: x4  16
56) Factor by grouping: x2  ax +bx  ab
Alg 2 CP – Midterm 2010
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57) Solve for x: x2 +10x= 25
58) Solve for x: x2 – 8x+12 = 0
59) Solve for x: 6x2 = 11x +10
60) Solve for x: 3x2 + 10 x = 8
Rational Expressions (Unit 6)
61) Simplify:
62) Simplify:
32 x5 y3
40 x3 y 2
x2  2 x  3
x2  6 x  9
4 x2 7 y
63) Multiply:
5 y 12 x 4
64) Divide:
y 2  5 y  6 y 2  3 y  10

y3
4 y2
Probability (PSSA Unit)
65) What is the probability of rolling a 4 on a balanced die?
66) What is the probability of flipping a coin 3 time and getting all heads?
67) What is the probability of picking a red card from a poker deck of cards?
68) What is the probability of picking both a three and a king from two poker decks of cards?
69) What is the probability of spinning an even number on a board numbers 1-10.
70) What is the probability of rolling either a 4 or 5 on a balanced die?
Alg 2 CP – Midterm 2010
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