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Published by媒艳 曹 Modified over 6 years ago
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Rational numbers Can be fractions, decimals, negatives, etc.
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Integers Negatives or positive whole numbers, but can’t have fractions or decimals
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Multiplying and Dividing Integers
Triangle rule
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Adding Integers Same sign, add and keep. Different sign subtract. Keep the sign of the higher number, then you’ll be exact.
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Subtracting Integers Insert plus sign after first number.
Or use plus plus rule.
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Solving for x Add or subtract from both sides.
Divide by number in front of x.
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Inequalities Flip sign when dividing or multiplying both sides by a negative.
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Unit Rate Divide
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Unit Price Money in the bank $ Amt.
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Discounts Change it to a decimal and multiply.
Read the problem to see if you need the total price. If so, then subtract.
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Change it to a decimal and multiply
% Change it to a decimal and multiply
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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.
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Percent increase or decrease
Subtract, put answer on top. Original on the bottom. Divide and move your decimal for percent of change. (song)
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Scale drawing, map scale or model
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Based on this data (these results)
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Converting Measurements
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Ratio
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3 numbers and 1 unknown (comparing two items or rates)
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Missing sides of Similar Figures
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-Congruent angles Proportional sides
Similar Figures -Congruent angles Proportional sides
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Simple Interest I = Prt Principal x rate x time
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Compound Interest A = P (1 + r) t
Principal (1 + rate as decimal) raised to the years power No calculator: need to make a table
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Constant of proportionality
y x
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Fraction times fraction
Probability of 2 events Fraction times fraction (Pay attention to whether you replace it or not)
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Predictions from probability
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Circumference C = d C = 2 r C
Revolution or the turning of a wheel, tire, etc Anything circular Circumference C = d C = 2 r
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Circumference Diameter
We use 3 and find the answer a little bit higher
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Adjacent Angles Side by side Share one side in the middle
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Vertical Angles Across from each other Congruent
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Supplementary Add up to 180o Straight line
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Complementary Add up to 90o Corners
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Missing angle of a triangle
Add up. Subtract from 180
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Shape inside a shape Find the area of both and subtract
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Shape combined with another shape
Find the area of both and add
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B Area of base (must use formula)
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Area Cover, carpet, or paint . . .
Answer choices are in units2 or square units Area
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Pour, fill, units3 Volume
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Find area of each face and base. Add together.
Total Surface Area Find area of each face and base. Add together.
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Find area of each face (sides not bases). Add together.
Lateral Surface Area Find area of each face (sides not bases). Add together.
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Net Worth Add up income, money you earn, etc.
Add up bills, money you owe, etc. Subtract the two totals.
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