Can be fractions, decimals, negatives, etc. Rational numbers

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Transcript Can be fractions, decimals, negatives, etc. Rational numbers

Rational
numbers
Can be fractions, decimals,
negatives, etc.
Integers
Negatives or positive whole
numbers, but can’t have fractions or
decimals
Multiplying and
Dividing Integers
Triangle rule
Adding
Integers
Same sign, add and keep. Different
sign subtract. Keep the sign of the
higher number, then you’ll be exact.
Subtracting
Integers
•Insert plus sign after first number.
•Or use plus plus rule.
Solving for x
•Add or subtract from both sides.
•Divide by number in front of x.
Inequalities
Flip sign when dividing or
multiplying both sides by a negative.
Unit Rate
Divide
Unit Price
Money in the
bank
Amt.
$
Discounts
•Change it to a decimal and
multiply.
•Read the problem to see if you
need the total price. If so, then
subtract.
%
Change it to a
decimal and
multiply
Tax, tip, markup,
commission
•Change it to a decimal and
multiply.
•Read the problem to see if you
need to total price. If so, add.
Percent increase
or decrease
Subtract, put answer on top.
Original on the bottom.
Divide and move your
decimal for percent of
change. (song)
Scale drawing, map
scale or model
Based on this
data (these
results)
Converting
Measurements
Ratio
3 numbers and 1
unknown (comparing
two items or rates)
Missing sides of
Similar Figures
F1
F2
Similar Figures
-Congruent angles
Proportional sides
Simple Interest
I = Prt
Principal x rate x time
Compound
Interest
A = P (1 + r)
t
Principal (1 + rate as decimal)
raised to the years power
No calculator: need to make a
table
Constant of
proportionality
y
x
Probability of 2
events
Fraction times fraction
(Pay attention to whether you replace it or not)
Predictions from
probability
Revolution or the turning
of a wheel, tire, etc. . . .
Anything circular
C
Circumference
C= d
C=2 r

Circumference
Diameter
We use 3 and find the
answer a little bit higher
Adjacent Angles
•Side by side
•Share one side in the middle
Vertical Angles
•Across from each other
•Congruent
Supplementary
Add up to 180
Straight line
o
Complementary
Add up to 90
Corners
o
Missing angle of
a triangle
Add up. Subtract from 180
Shape inside a shape
Find the area of both and
subtract
Shape combined with
another shape
Find the area of both and
add
B
Area of base
(must use formula)
• Cover, carpet, or
paint . . .
• Answer choices are in
units2 or square units
Area
Pour, fill,
3
units
Volume
Total Surface
Area
Find area of each
face and base.
Add together.
Lateral Surface
Area
Find area of each face
(sides not bases). Add
together.
Net Worth
•Add up income, money
you earn, etc.
•Add up bills, money you
owe, etc.
•Subtract the two totals.