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52 Cards in this Set
- Front
- Back
Commutative Property
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a + b = b + a
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Associative Property
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(a+b) + c = a + (b + c)
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Distributive Property
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a(b+c) = ab+ac
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Additive Property
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a+0 = a
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Multiplicative Identity
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a x 1 = a
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Adjacent Angle
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Two angles with a common vertex and a common side, but no common interior points.
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Right Angle
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An angle whose measure is 90 degrees.
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Obtuse Angle
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An angle whose measurement is larger than 90 but less than 180.
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Straight Angle
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An angle whose measure is 180. (a straight line)
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Reflex Angle
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Angle whose measure is greater than 180, but less than 360.
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Complimentary Angle
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Two angles whose measures total 90.
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Supplementary Angles
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Two angles whose measure is 180.
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Congruent Angles
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Angles of equal measure.
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Perpendicular
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Angles that intersect and form 2 right angles.
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Scalene Triangle
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Triangle with no equal sides.
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Isosceles Triangle
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A triangel having at least 2 equal sides.
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Sum of Interior angle of a Triangle
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180.
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Obtuse Triangle
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A triangle with one obtuse angle greater than 90.
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Acute Triangle
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A triangle with three acute angles (less than 90.)
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Right Triangle
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A triangle with a right angle.
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Exterior Angle of any Regular Polygon of n sides.
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360/n degrees
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Compound Interest
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P(1+r/n)nt
or FV=PV(1+I)nt Future Value=Present Value(1 = Interest)nt P is the principal (the money you start with, your first deposit) r is the annual rate of interest as a decimal (5% means r = 0.05) n is the number of years you leave it on deposit A is how much money you've accumulated after n years, including interest. If the interest is compounded once a year: A = P(1 + r)n If the interest is compounded q times a year: A = P(1 + r/q)nq |
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Interest
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I=prt
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Area of a Cylinder
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A = 2 pi r ^ 2+ 2 pi rh
or SA= (Base-per)h +2 (Base-area) ** Have to remember that Cylinders are circles so Per means circumference of a circle and Area means area of a circle. |
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Volume of a Cylinder
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Base-Area X Height
or V= pi r ^2 h |
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Permutations
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Calculating the number of ways a task can be arranged or ordered.
Order DOES matter. Order of arrangements of r objects n+n!/n-r)! (without repetition) |
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Combinations
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Order does not matter.
The number of ways of selecting r objects from n unlike objects is: Example There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random. How many different ways are there of selecting the three balls? 10C3 =10!=10 × 9 × 8= 120 3! (10 – 3)!3 × 2 × 1 n!/n!(n-r)! |
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Slope Formula
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M=y(2)-y(1)/x(2)-x(1)
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Equation of a line with Points
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*Use y intercept formula
y=mx+b m=slope b=y intercept 1. Graph the 2 pts. 2. Draw the line 3. Find slope using slope formula 4. Plug in # to equation |
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Area of Square
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A= l * h
or A= 1/2d^2 |
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Distance Between given Coordinates
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AB=sqroot (X(A) - X(B))^2 + (Y(A) - Y(B))^2
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Distance
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D=rt
t=d/r r=d/t |
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Sum of two consecutive integers
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n+(n+1)=
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Mark up Price
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1. Subtract to find the difference.
2. Ask yourself: What percentage above price is a markup? EX: difference=original price(x) 3. Remember to move the decimal two places to the right to convert to percentage. |
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Trapezoid
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P= b(1) + b(2) + x + y
A= h(b(1) + b(2)/2 |
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Circle
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C=2 (pi) r
A=(pi) r^2 |
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Cube
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SA=6 a^2
V=a^3 |
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Rectangular Prism
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SA=2(lw+lh+wh)
V= lwh |
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Sphere
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SA= 4 (pi) r ^2
A=4/3 (pi) r^3 |
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Using the Proportion Method to Solve Percent Problems
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part / whole = % / 100
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Percentage Increase or Decrease
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Change/Starting point X 100 = percentage change
EX: What is the percentage increase of Jon's salary if it went from $150 per day to $200 per day? 200-150=50 50/150 X 100 = 1/3 X 100 = 33 1/3% |
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Natural Numbers
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A set of integers starting with 1 and increasing.
1,2,3,4,5,6,7 |
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Whole Numbers
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The set of integers starting with 0 and increasing:
0, 1, 2, 3, 4, 5, 6 |
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Negative Integers
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The set of integers starting with
-1, -2, -3, -4. |
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Rational Numbers
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Any ordinary number of arithmetic.
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Irrational Numbers
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Any value that exists that is not rational. (SQ Root) of 2 or pi (3.14)
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Real numbers
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All rational and irrational numbers.
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Prime Numbers
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A natural number greater than 1 and that only has 1 and itself as a divisor. 2,3,7,11,13
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Composite Numbers
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A natural number greater than 1 that is not a prime number. (Has at least 3 different divisors) 4, 6, 8,9,10, 12,14, 15.
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Square Numbers
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The result of taking integers and raising them to the 2nd power.
1, 4, 9, 16, 25, 36 |
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Cube Numbers
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The result of taking integers and raising them to the 3rd power (cubing them)
1,8, 27, 64, 125, 216, 343 |
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work
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1/x + 1/y = 1/z
If Alex can build a house in 2 days and his apprentice Bob can build a house in 3 days, then how long will it take Alex and Bob to build a house when they are working together? Putting the information from the question into the formula gives us 1/2 + 1/3 = 1/Time working together. |