Download Name __________________________________ Date ____ Class ____ Exam 1 Review Sheet

Name __________________________________
Exam 1 Review Sheet
Date ____ Class ____
Mr. Lynch
1) Formulas:
a) Area of a parallelogram
b) Area of a rhombus
c) Perimeter of a rectangle
d) Volume of a cube
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e) Name all the Pythagorean Triples
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2) Properties of Numbers:
_____ 1) 7 ∙11 = 11 ∙ 7
_____ 2) If 6 + 3 = 9, then 9 = 6 + 3.
_____ 3) 15 + 0 = 15
_____ 4) 9 ∙1 = 9
_____ 5) (8 + 2) + 1 = 8 + (2 + 1)
_____ 6) (7 ∙ 6) ∙ 2 = 7 ∙ (6 ∙ 2)
_____ 7) 6(y – 5) = 6y - 30
_____ 8) 7 ∙ 0 = 0
_____ 9) 12 + 2 = 12 + 2
_____ 10) 7 + 11 = 11 + 7
_____ 11) If 22 = 4 and 8 – 4 = 4, the 8 – 4 = 22.
A) Comm. Prop. of Addition
B) Comm. Prop of Mult.
C) Symmetric
D) Reflexive
E) Assoc. Prop. of Addition
F) Assoc. Prop. of Mult.
G) Transitive
H) Distributive
I) Additive Identity
J) Multiplicative Identity
K) Mult. Prop. of Zero
3) Sets of Numbers:
a) Which number is a whole number, but not a natural number?
a) .725
b) -6
c) 4
d) 0
b) Which number is an integer, but not a natural number?
a) -8
b) 1
c) 3
d) 4.7
c) Which of the following is irrational?
a) .757575… b) ½
c) -34
d) .6736823…
d) Which of the following is irrational?
a) .77777… b) 0
c) ∏
d) -3
4) Simplifying and Combining Like Terms
a) 8 + 3x – x – 6
b) 4 – 2x + 3y + 7 + 2y – 5x
d) –(6x + 4)
e) -2(y + 1)
g) (7x3 – 3x + 1) – (x3 + 4x2 – 2)
c) 4 + 5z + z – 6.5
f) (2x² - 3x + 4) + (3x² + 2x – 3)
h) (2x3 – 5x2 + 3x + 1) – (8x3 – 8x2 + 4x + 3)
i) (2x + 1)(x – 5)
j) (3x – 5)(2x + 7)
l) y-5
p) b-2 ∙ b4 ∙ b
m) 12xy-3
n) x-5y7
q) y6 ∙ y2 ∙ y4
r) (a3)2 30) (g4)-3
s) (5ac-3)-2
u) _b4_ v) _a7b3c2_
b9
a2b6c2
w) _21x2y10z8_
3x4y11z4
x) 6a2(3a – 4) + 5a(7a2 – 6a + 5)
5) Factoring:
a) x² + 10x + 16
b) x² + 7x + 12
c) x² - 9x + 20
d) x² - 2x – 8
e) x² + 7x – 18
f) r² - 10r – 11
g) 2x² - 15x + 7
h) 5x² - 2x – 7
i) 2x² - x – 3
j) 8x² - 14x + 3
k) x² - 64
l) 4x² - 121
m) x² - 49
n) 6x – 4
o) s4 + 4s3 – 2s
p) 15n3 + 3n2 – 12n
q) 6m6 – 24m4 + 6m2
o) (a2b3)(a6)
k) x-3
t) _a6_
a14
r) 5m3 – 7m2
6) Quadratic Equations:
Use Factoring:
a) b² + 3b – 4 = 0
b) m² - 5m – 14 = 0
c) x² - 16x + 55 = 0
d) 2x² - 5x = 88
e) x² - 121 = 0
f) 2x² - 7x + 5 = 0
Use the Quadratic Formula:
g) x² - 2x – 3 = 0
h) 13x² + 170x + 13 = 0
j) x² + 4x = 12
k) x² = 4x + 45
i) x² + 2x = 8