Name ______________________
Review Worksheet
Date ______ Class ____
Ms. Anderle
REVIEW
Formulas:
1) What is the formula for volume of a cube?
2) What is the formula for area of a rhombus?
3) True/False: The formula for volume of a cylinder is ∏r2h
4) Name 2 Pythagorean Triples.
5) True/False: The Pythagorean Theorem is a2 + b2 = c2
Properties:
1) Which statement represents the Reflexive Property?
a) a + b = a + b
c) a + b = b + a
b) (a + b) + c = a + (b + c)
d) If a + b = c, then c = a + b
2) The multiplicative identity element is…
a) 1
c) 2
b) 0
d) 3
3) Write a statement that represents the Distributive Property.
4) Which statement represents the Transitive Property?
a) If 3 + 3 = 6, and 6 = 2 + 4, than 3 + 3 = 2 + 4
b) If 3 + 3 = 6, than 6 = 3 + 3
c) 3 + 3 = 3 + 3
d) 2 + 4 = 4 + 2
5) Write a statement that represents the Commutative Property.
Set of Real Numbers:
1) True/False: The set of Whole Numbers include all positive integers and the number 0.
2) Natural Numbers include all positive integers except for…
a) 0
b) 1
c) 2
d) 3
3) Which number is irrational?
a) 0.787878…
c) 0.893123…
b) 0.2
d) -2
4) True/False: Rational numbers include all numbers that can be represented by a fraction.
5) Which number is an integer but not a whole number?
a) -4
b) 9
c) ½
d) 0.98
Combining Like Terms/Power Rules:
Simplify each expression:
1) (2a2 – 4a + 3) + (6a2 + 4a – 3)
2) (7m2 + 3m + 8) – (-3m2 – 6m + 1)
3) x2 + 3 – 6x + 4 + 3x2 – x
4) (7x + 1) – (-x2 + 3x – 5)
5) 3m(m + m2 – 4) – 2(m3 + 6m)
6) (4x2 + 6) + (-x2 + 3x – 4)
7) 2(x + 3) – 8(x - 6)
8) -2(m2n)3 + 3m2(2m4n3 + 5m)
9) -3(x2y)6
2
10)  x 
11) m2(3ym) + 5y(m3 + 3) – 7y
12) (m + 2)3
13)
 9
 2y 
6a b c
2
4
5
21a b
6
3
14) (3x2z3)3 · (2x4)
Factor:
Factor Each Expression
1) 9m2 – 36n2
2) 8x2 - 6x – 9
3) 2b2 + 10b + 12
4) 2y2 – 3y – 20
5) 7ab + 14a2b4
6) 6r2 – 14r – 12
7) n2 + 13n – 48
8) p2 – 2p – 35
9) 72 + 27a + a2
10) 4a3 + 8a2 + 4a
Solving Equations:
Solve and check each of the following
1)
4
5
y 8
2
5
y  16
2) 8x – 2 = -9 + 7x
3) y + 2 = 3y – 8
4) ½ b – 6 = 14
5) 3m – 4m + 8 = 2m – 4
6) 15 = 4a – 5
7) 3.5x + 5 – 1.5x = 8
8) -3(4x + 3) + 4(6x + 1) = 43
Solving Quadratic Equations:
Solve and check each of the following:
1) v3 – 36v = 0
2) j2 = 49
3) 72 = w2 + 6w
4) 12x2 – 1 = -x
5) x2 – 5x – 6 = 0
6) d2 – 8 = 2d
7) 8a2 – 18a + 9 = 0
8) x2 – 20 = x