Quarter Exam Review Sheet #1:
Memorize your formula sheet!!!
Complete the following matching column:
___ 1) 7 · 1 = 7
___ 2) If 2 + 3 = 5, and 51 = 5, then 2 + 3 = 51.
___ 3) 5(x + 4) = 5x + 20
___ 4) (6 · 3) · 4 = 6 · (3 · 4)
___ 5) 4 · 0 = 0
___ 6) 6 + 3 = 6 + 3
___ 7) If 6 + 8 = 14, then 7 · 2 = 14.
___ 8) 9 + 6 = 6 + 9
___ 9) 9 + 0 = 9
___ 10) (7 + 5) + 4 = 7 + (5 + 4)
A) Reflexive
B) Additive Identity
C) Mult. Identity
D) Assoc. Prop. of Mult.
E) Transitive
F) Assoc. Prop. of Addition
G) Symmetric
H) Comm. Prop. of Multiplication
I) Mult. Prop. of Zero
J) Distributive
Simplify each of the following:
11) 1.5m - 4.2m - 12.5v + 4.2m
12) 3.3t2 + 8.7t - 9.4t2 + 5t
13) 1.4b - 3b2 + 4c - 2b2 + c
14) -(12k + 5m - 62)
15) 9(4x + 1.2y - 8.1)
16) 9(5 + t) - 6(t + 3)
17) 4(r + 8) - 5(2r + 1)
18) -(m + 3) - 2(m + 3)
19) _a6_
a14
23) (2p6)0
20) _10a2b4z10_
5a4b9z5
24) (6x2y4z6)2
21) (1/x)3
25) x6 · x2 · x4
22) (6/n6)2
26) 8(a3b5c)7
Factor each of the following:
27) x2 - 64
28) x2 - 100 29) x2 + 81
30) r2 + 4r + 3
31)q2 - 18q + 45
32) d2 + 21d + 38
34) 2y2 + 5y + 2
35) 20x2 + 80x + 35
36) 6x - 4
33) 6x2 + 23x + 7
37) 10x3 - 25x2 + 20
38) 2t2 - 10t4
Solve the following using factoring:
39) x2 - 8x - 48 = 0
40) x2 + x = 12
41) t2 - 3t = 28
42) x2 = -8x – 15
Complete the following truth table:
43)
r
44)
s
~r
~s
Let p represent:
Let q represent:
rVs
~ (r V s)
~s → r
(~ s → r) Λ (r V s)
The quarter exam is important.
I will not wait until the night before to review.
a) Write each of the following sentences in symbolic form:
If the quarter exam is not important, then I will not wait until the night before to review.
I will wait until the night before to review and the quarter exam is important.
b) Construct a truth table to prove whether or not the two statements above are logically
equivalent. (Use a straightedge!!!)
c) Is the truth table a tautology? (Yes or No?)
_______________________
d) Are the statements logically equivalent? Give a sentence why or why not?
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45) Write the inverse, converse, and contrapositive of the following sentence:
If today is a good day to study, then I will prepare all night.
Solve the following using the quadratic formula:
46) x2 + 6 = 5x
47) 2x2 + 4x - 7 = 0
48) The measure of two complementary angles are in a ration of 7:2. Find the measure of
the smaller angle.
49) The measure of the supplement of an angle is 60 degrees more than twice the
measure of the angle. Find the degree measure of the supplement.