Mean Absolute Deviation
Simple Interest
Compound Interest
Formula: I=Prt
Formula: A = P(1+r)t
P = ____________
P = ____________
r = ____________
r = _____________
t = ____________
t = _____________
To convert rate from % to decimal, divide the % by 100
Time has to be in years. If given months, divide by 12.
Solving 1-Step Equations and Inequalities
Work Space
Solving Multi-Step Equations and Inequalities
Work Space
1.
2.
3.
Distributive Property
Combine like terms on the same side
of the equation
Get the variable by itself using
inverse operations
a. If you divide by a negative while
solving an inequality, flip the
sign
Solving Equations using Algebra Tiles
Work Space
1.
2.
3.
Distributive Property
Combine like terms on the same side of
the equation
Get the variable by itself using inverse
operations
a. If you divide by a negative while
solving an inequality, flip the sign
Direct Variation y = kx
X
Y
Work Space
k = (y ÷ x)
Slope of a Line
Calculate from two points:
Point 1 (____,____)
Point 2 (____,____)
x1 = ____ y1 =____
x2 =____ y2 =____
Work Space:
Find slope using a graph:
Slope-Intercept form from two points
Slope Intercept Form: y=mx+b
Points: (___,___) (___,___)
Step 1: Determine m using the
slope formula
Y2 = ___
Y1 = ___
X2 = ___
X1 = ___
Step 2: plug two coordinates in
the slope-intercept formula to
determine b
Step 3: Plug in the slope and
y-intercept to write your new
formula
Y = ____
X = ____
m = ____
m = ______
b = ______
__ = __ (__) + b
y = ___x + ___
Reflection
Pre-Image
Image
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
Basic Reflection rules:
Across x-axis (x,y) -> (x,-y)
Across y-axis (x,y) -> (-x,y)
Across y = x (x,y) -> (y, x)
Across y = -x (x,y) -> (-y,-x)
Dilation: Scale Factor (k) = ______
Pre-Image
Image
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
Work Space:
Translation: Rules = (x + ____ , y + ____)
Pre-Image
Image
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
Work Space:
Pre-Image
Image
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
(____,____)
Rotation Rules
CC (90) C (270)
(-y, x)
CC (180) C (180)
(-x, -y)
CC (270) C (90)
(y, -x)
CC (360) C (360)
(x,y)
Rotation
Rotation Rules
Clockwise
Counterclockwise
Reflection Rules
Rules
270
(-y,x)
x-axis
(x, -y)
y-axis
(-x, y)
y=x
(y,x)
y = -x
(-y, -x)
90
180
(-x,-y)
180
90
(y,-x)
270
360
(x,y)
360
Pythagorean Theorem
a2 + b2 = c2
√c2 - a2 = b
√c2 - b2 = a
a = _____________
b = _____________
c = _____________
Work Space
Find missing angle
measurement
triangle
a + b + c = 180°
180° - a - b = c
a =__________
b =__________
c =__________
Work Space
Finding Exterior Angle
2 Strategies to find measure of an exterior
angle.
1)
2)
Subtract the linear pair from 180
Add the two other interior angles
that do not form a linear pair with the
exterior angle
Work Space
Parallel lines cut by a Transversal
Work Space
Corresponding = angles are equal
Supplementary = angles add up to 180
Interior Angle Measurements
Shape
Shape Model
Angle Sum Equals
Triangle
180
Square/Rectangle
360
Pentagon
540
Hexagon
720
Heptagon
900
Octagon
1080
Non-Polygons
Circles
Ovals
Any shape with a curve
Area Formulas
A = ½ bh
b =_____
h =_____
Work Space
A = bh
b =_____
h =_____
Work Space
A = ½ (b1 + b2)h
b1 =_____
h =_____
b2 =_____
Work Space
A = ℼr2
r =____
r = diameter/2
Work Space
Circumference
C = 2ℼr
r =______
C =ℼd
d =_____
Work Space
Volume Formulas - All
B = Area of the Base
V = Bh
h =____
B (rect./squ.) = bh
B (triangle) = ½ bh
V = Bh
h =_____
B = ℼr2
V = ⅓ Bh
B (square) = bh
B (triangle) = ½ bh
V = ⅓ Bh
B = ℼr2
V = 4/3ℼr3
h (of prism)=____
b =____
h =____
h (cylinder)=____
b =____
r =____
h (pyramid) =____
b =____
h =____
h =_____
r =_____
r =_____
Volume Formula: Prism or Cylinder
V = Bh
h (of prism) =____
B (rectangle/square.) = bh
B (triangle) = ½ bh
V = Bh
h =_____
B = ℼr2
h (of prism)=____ b =____ h =____
h (cylinder)=____ b =____ r =____
Volume Formula: Pyramid or Cone
V = ⅓ Bh
B (square) = bh
V = ⅓ Bh
B (triangle) = ½ bh
V = ⅓ Bh
B = ℼr2
h (pyramid) =____
b =____ h =____
h (pyramid) =____
b =____ h =____
h =_____ r =_____
Volume Formula: Sphere
V = 4/3ℼr3
r =_____
Volume Formulas Fill in the Blanks
Cylinder: 3.14 x ___2 x___
Cone: ⅓ x 3.14 x ___2 x___
Sphere: 4/3 x 3.14 x ___3
Rectangular Prism and Cubes: ___ x ___ x ___
Triangular Prism: (½ ___ x ___) x ___
Surface Area Formulas
Lateral (Prism)
Total (Prism)
Lateral (Cylinder)
Total (Cylinder)
S = Ph
S = Ph + 2B
S = 2ℼrh
S = 2ℼrh + 2ℼr2
P =_____
h =_____
P =_____
h =_____
B =_____
r =_____
h =_____
r =_____
h =_____
P = perimeter of base
h = height of the Prism or Cylinder
B = Area of the Base
Surface Area Formulas: Prism
Lateral (Prism)
Total (Prism)
S = Ph
S = Ph + 2B
P =_____
h =_____
P =_____
h =_____
B =_____
P = perimeter of base
h = height of the Prism or Cylinder
B = Area of the Base
Surface Area Formulas: Cylinder
Lateral (Cylinder)
Total (Cylinder)
S = 2ℼrh
S = 2ℼrh + 2ℼr2
r =_____
h =_____
r =_____
h =_____
Length Conversions
Customary
Metric
1 mile = 1,760 yards
1 yard = 3 feet
1 foot = 12 inches
1 kilometer = 1,000 meters
1 meter = 100 centimeters
1 centimeter = 10 millimeters
mile (mi)
yard (yd)
feet (ft)
inches (in.)
kilometer (km)
meter (m)
centimeter (cm)
millimeter (mm)
Work Space
Volume and Capacity Conversions
Customary
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
gallon (gal)
quarts (qt)
pints (pt)
cups (c)
fluid ounces (fl oz)
Metric
1 liter = 1,000 milliliters
liter = L
milliliter = mL
Work Space
Weight and Mass Conversions
Customary
Metric
1 ton = 2,000 pounds
1 pound = 16 ounces
1 kilogram = 1,000 grams
1 gram = 1,000 milligrams
ton (T)
pounds (lb)
ounces (oz)
kilogram (kg)
gram (g)
milligram (mg)
Work Space
Adding and Subtracting Fractions
Step 1: Original Problem
Step 2: Find LCM of denominators
Step 3: Convert to equivalent fractions
Step 4: Rewrite problem and solve
Simplify if needed
Comparing Fractions: Butterfly Method
Comparing Rational Numbers
Adding Positive and Negatives
Work Space
Multiplying Integers
Work Space
Data
Mean: Average
Mode: The number that is repeated the most
Range: Subtract the largest number and the
smallest number
Work Space
Data Set:
____________________________________
Least to Greatest:
Median: List the numbers from least to greatest,
median is the middle number
____________________________________
Graphing Data
Data: