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Definition
length times length
a*a or a2
ex. a = 4
4*4=16 or 42
Area=16 units
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Definition
length times length
a*b
ex.
a=8, b=4
8*4=32
A=32 units
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Definition
base times hight
bh
ex. b=6, h=8
6*8=48
A=48 units
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Definition
(base1 plus base2 divided by 2) times hight
(b1+b2/2)*h
ex. b1= 8, b2 =4, h=2
(8+4/2)*2=16
A=16
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Definition
pi times radius2
Π*r2
Π≈3.14
ex. r=10
Π*102=100Π or ≈314.16
A=100Π≈314.16 units
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Definition
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Definition
one half base times hight
½(bh)
ex. b=4, h=2
½(4*2)=4
A=4 units
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| Area of an Equilateral Triangle |
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Definition
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Definition
length3
a3
ex. a=4
43=64
V=64 units3
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The area of a flat, or plane figure is the number of unit squares that can be contained within it. The unit square is usually some standard unit, like a square meter, a square foot, or a square inch.
The size of a surface. The amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle
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Definition
Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid. It's units are always "cubic", that is, the number of little element cubes that fit inside the figure.
V=a units3 |
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Definition
Logarithms are the "opposite" of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication. Logs "undo" exponentials. Technically speaking, logs are the inversesof exponentials.
| —The Relationship— |
| y = bx |
..............is equivalent to...............
(means the exact same thing as)
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logb(y) = x
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PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract)M&D are evaluated from left to right same with A&S ex. 9 - 5 ÷ (8 - 3) x 2 + 6 2
P- (8-3)=5 making it 9-5÷5*2+62
E- 62=36 making it 9-5÷5*2+36
M&D- 5÷5=1, 1*2=2 making it 9-2+36
A&S- 9-2=7, 7+36=43
9-5÷(8-3)*2+62=43
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Definition
ex. . . . , -3, -2, -1, 0, 1, 2, 3, . . .
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Definition
| fractions, that is, anything expressable as a ratio of integers |
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| integers plus rationals plus special numbers such as √ 2, √ 3 and π |
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Slope is the measure of how a line changes. It’s expressed as: the change along the y-axis/the change along the x-axis, or rise/run ~Given two points, A(x1,y1), B(x2,y2), find the slope of the line that connects them:
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Definition
A linear equation is written as y=mx+b m is the slope and b is the y-intercept (the point of the line that crosses the y-axis) A line that passes through the origin (y-axis at 0), is written as y=mx If you get an equation that is NOT written this way (i.e. mx−y=b), re-write it into y=mx+b |
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