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Study sets matching "mathematics equations"

17 terms
Mathematics equations
Zero exponent identity
Multiplying like bases with exponents
Dividing like bases with exponents
Raising an exponent to another exponent
X⁰ = 1
Zero exponent identity
X⁰ = 1
Multiplying like bases with exponents
15 terms
Mathematics: Equations
Base
Exponent
Data
Difference
A number used as a repeated factor
A number that shows how many items the base is used as a factor
Information collected about people or things, often used to d…
The answer to a subtraction equation
Base
A number used as a repeated factor
Exponent
A number that shows how many items the base is used as a factor
83 terms
Mathematics equations
Profit percentage
Loss percentage
Simple interest
Compound interest
SP-CP/CP x100
CP-SP/CP x100
PRT/100
p(1 + r/100) the the power of n
Profit percentage
SP-CP/CP x100
Loss percentage
CP-SP/CP x100
15 terms
Equations - Mathematics
Four Pi x Radius Squared
Two Pi x Radius Squared
Length x Width
Pi x Radius x Length
Surface area of a Sphere
Circumference of a Circle
Area of a Rectangle
Surface area of a Cone
Four Pi x Radius Squared
Surface area of a Sphere
Two Pi x Radius Squared
Circumference of a Circle
16 terms
Algebra & Equations Mathematical Terms
algebraic expression
binomial
cancel
coefficient
a group of terms that are joined by addition or subtraction s…
an algebraic expression consisting of two terms
to simplify a fraction by dividing the numerator and denomina…
the number that multiplies a pronumeral in an algebraic expre…
algebraic expression
a group of terms that are joined by addition or subtraction s…
binomial
an algebraic expression consisting of two terms
15 terms
Mathematics Trigonometry Equations
SOHCAHTOA
Pythagoras Theorem
Method:
Cosine Rule For an Angle
Sine = Opposite/Hypotenuse... Cosine = Adjacent/Hypotenuse... Tan s…
a^2 + b^2 = c^2... (a & b are the short sides and C is the long…
• Sketch the triangle... • Label the sides... • Write down what is…
SOHCAHTOA
Sine = Opposite/Hypotenuse... Cosine = Adjacent/Hypotenuse... Tan s…
Pythagoras Theorem
a^2 + b^2 = c^2... (a & b are the short sides and C is the long…
20 terms
Mathematical equations
1 liter
1 kg
1 gram
1 mg
= 1000mL
= 1000 grams
= 1000 mg
= 1000 mcg
1 liter
= 1000mL
1 kg
= 1000 grams
15 terms
Mathematics Trigonometry Equations
SOHCAHTOA
Pythagoras Theorem
Method:
Cosine Rule For an Angle
Sine = Opposite/Hypotenuse... Cosine = Adjacent/Hypotenuse... Tan s…
a^2 + b^2 = c^2... (a & b are the short sides and C is the long…
• Sketch the triangle... • Label the sides... • Write down what is…
SOHCAHTOA
Sine = Opposite/Hypotenuse... Cosine = Adjacent/Hypotenuse... Tan s…
Pythagoras Theorem
a^2 + b^2 = c^2... (a & b are the short sides and C is the long…
15 terms
Mathematical Equations
Circumference =
Area of a parallelogram =
Area of a triangle =
Area of a trapezoid =
prs
bh
1/2bh
1/2h -bone + btwo-
Circumference =
prs
Area of a parallelogram =
bh
11 terms
mathematical equations
p
q
r
w bar
frequency of A1
frequency of A2
frequency of A3
average fitness of entire population
p
frequency of A1
q
frequency of A2
14 terms
mathematical equations
odd
even
whole numbers
recurring
ungerade
gerade (Zahl)
Ganzzahlen
periodisch (wiederkehrend)
odd
ungerade
even
gerade (Zahl)
10 terms
Prelim Mathematics 2 unit: Equations
Absolute value
Equation
Exponential equation
Inequation
the distance of a number from zero on a number line
When there is an equation and you need to find a value for x.
Equation where the unknown pronumeral is the power or index e…
A mathematical statement involving an inequality sign <, >, ≤…
Absolute value
the distance of a number from zero on a number line
Equation
When there is an equation and you need to find a value for x.
23 terms
Mathematic Equation
A=1/2absinC
a/sinA=b/sinB=c/sinC(sinA/a=sinB/b=sin…
a^2=b^2+c^2-2bccosA
cosA=b^2+c^2-a^2/2bc
area of triangle
sine rule
cosine rule (Calculating Length)
cosine rule (Calculating Angle)
A=1/2absinC
area of triangle
a/sinA=b/sinB=c/sinC(sinA/a=sinB/b=sin…
sine rule
24 terms
Mathematics Equations/Definitions
Area of a triangle
Area of a square
Perimeter of a square
Perimeter of a triangle
Area = 1/2(baseheight)
Area = length * width
Perimeter is the sum of the lengths of all sides.
Perimeter is the sum of the lengths of all sides.
Area of a triangle
Area = 1/2(baseheight)
Area of a square
Area = length * width
34 terms
Mathematics 8 Exponents and Equations
Addition Property of Equality
Additive Inverses
Algebraic Expression
Cube Root
If you add the same numbers to each side of an equation, both…
Two numbers whose sum is zero
A mathematical phrase involving at least one variable and som…
a number that when multiplied three times equals a given number
Addition Property of Equality
If you add the same numbers to each side of an equation, both…
Additive Inverses
Two numbers whose sum is zero
34 terms
Mathematics 8 Exponents and Equations
Addition Property of Equality
Additive Inverses
Algebraic Expression
Cube Root
If you add the same numbers to each side of an equation, both…
Two numbers whose sum is zero
A mathematical phrase involving at least one variable and som…
a number that when multiplied three times equals a given number
Addition Property of Equality
If you add the same numbers to each side of an equation, both…
Additive Inverses
Two numbers whose sum is zero
18 terms
Mathematics: Translating equations and expressions
n + 7 = 35
5 = 2n - 6
6n - 7 = 10
10n = 420
The sum of a number and 7 is 35.
Five is 6 less than twice a number.
If seven is subtracted from six times a number, the result is…
Ten times a number is 420.
n + 7 = 35
The sum of a number and 7 is 35.
5 = 2n - 6
Five is 6 less than twice a number.
18 terms
Mathematics: Translating equations and expressions
n + 7 = 35
5 = 2n - 6
6n - 7 = 10
10n = 420
The sum of a number and 7 is 35.
Five is 6 less than twice a number.
If seven is subtracted from six times a number, the result is…
Ten times a number is 420.
n + 7 = 35
The sum of a number and 7 is 35.
5 = 2n - 6
Five is 6 less than twice a number.
18 terms
Mathematics Equations to Remember
Surface Area of a Triangle
Surface Area of a Circle
Surface Area of a Trapezoid
Surface Area of a Sphere
A=b(h)/2
A=πr²
1/2h(a+b)
4πr²
Surface Area of a Triangle
A=b(h)/2
Surface Area of a Circle
A=πr²
11 terms
Mathematics easy equations
area of sector
perimeter of sector
cube volume CMcubed
cube surface area CMsquared
360÷angle of sector ×πRsquared
360÷angle of sector×πD+D
base× height × length
find area of the 3 showing sides then ×2
area of sector
360÷angle of sector ×πRsquared
perimeter of sector
360÷angle of sector×πD+D
18 terms
Discrete Mathematics Equations
Permutation
Combination
Probability of event A
Complementary Events
nPr = n!/(n!-r!)
nCr = n!/r!(n!-r!)
P(A) = n(A)/n(u) --> n(u) is the number of outcomes in 'u'
P(A) + P(A') = 1
Permutation
nPr = n!/(n!-r!)
Combination
nCr = n!/r!(n!-r!)
15 terms
Mathematics: Differential Equations
Differential Equations
Linear Differential Equation
Forcing Function
Homogeneous Differential Equation
a mathematical expression combining a function and one or mor…
written as a sum of multiples of the function y(x) and its de…
f(x) of a differential equation
The forcing function is zero
Differential Equations
a mathematical expression combining a function and one or mor…
Linear Differential Equation
written as a sum of multiples of the function y(x) and its de…
ABCTE - Mathematics: Linear Equations
The Parts of a Linear Equation
Let's go through what the m and the b…
Special Slope Cases
Parallel and Perpendicular Lines
A linear equation is another name for a linear-function rule.…
is either positive or negative. Slope is calculated as the am…
Horizontal lines have a slope of zero (m = 0). Since this mak…
Parallel lines have the same slope. Think about what parallel…
The Parts of a Linear Equation
A linear equation is another name for a linear-function rule.…
Let's go through what the m and the b…
is either positive or negative. Slope is calculated as the am…
9 terms
S1 Mathematics Equations
Regression line (b)
Sxx
Sxy
E(X)
Sxy/Sxx
Sum(x(^2)) - Sum(x)(^2)/n
Sum(x·y) - Sum(x)·Sum(y)/n
Sum(x·p(x))
Regression line (b)
Sxy/Sxx
Sxx
Sum(x(^2)) - Sum(x)(^2)/n
8 terms
The Mathematics of Chemical Equations
Define stoichiometry and describe its…
Relate stoichiometry to balanced chemi…
Identify and solve different types of…
Determine the limiting reactant of a c…
measuring chemicals that go into and come out of any given re…
You need balanced equations in order to show the conservation…
1 step: mole-mole... 2 step: mole-something else... 3 step: somethi…
The smallest number out of the 2 answers
Define stoichiometry and describe its…
measuring chemicals that go into and come out of any given re…
Relate stoichiometry to balanced chemi…
You need balanced equations in order to show the conservation…
12 terms
Mathematical equations and expressions
x + 4x
x + x + 2 + x + 4 =45
x + x + 1 + x + 2 = 55
x + x + 2 + x + 4 = 1,765
The sum of a number and four times the number
The sum of three consecutive even integers is 45
The sum of three consecutive integers is 55
The sum of three consecutive odd integers is 1,765
x + 4x
The sum of a number and four times the number
x + x + 2 + x + 4 =45
The sum of three consecutive even integers is 45
5 terms
Mathematical Series Equations
General Equation for an Arithmetic Ser…
Sum of the Terms up to "n" in an Arith…
General Equation for a Geometric Series
Sum of the Terms up to "n" in a Geomet…
Un=a+(n-1)d
Sn=0.5n(2a+(n-1)d)
Un=ar^n-1
Sn=a(1-r^n)/1-r
General Equation for an Arithmetic Ser…
Un=a+(n-1)d
Sum of the Terms up to "n" in an Arith…
Sn=0.5n(2a+(n-1)d)
10 terms
Mathematical equation definitions for seminar
Coordinate plane/ parts of plane
Ordered Pair
Translations
Reflections
A grid with number lines used to locate points in a plane.
A pair of numbers used to located a point in a coordinated Th…
A type of transformation that slides a figure in a given dire…
A type of transformation that slides a figure in a given dire…
Coordinate plane/ parts of plane
A grid with number lines used to locate points in a plane.
Ordered Pair
A pair of numbers used to located a point in a coordinated Th…
23 terms
Waiting line Mathematic Equations
p0=1/(λ/µ)^n!+(λ/u)^κ/κ!(κµ/κµ-λ)
Lq=(λ/µ)^κ λµ/(κ-1)!(κµ-λ)^2 P0
λ
µ
The probability that no units are in the system
The average number of units in the waiting line
arrival rate for the system
the service rate for each channel
p0=1/(λ/µ)^n!+(λ/u)^κ/κ!(κµ/κµ-λ)
The probability that no units are in the system
Lq=(λ/µ)^κ λµ/(κ-1)!(κµ-λ)^2 P0
The average number of units in the waiting line
9 terms
Mathematical Equations/Formulas/Forms
Slope Intercept
Standard
Point Slope
Area of Rectangle
y=mx+b
Ax+By=C
y - y1=m(x-x1) *not multiplying by 1
Lw=a *L=length, w=width, a=area
Slope Intercept
y=mx+b
Standard
Ax+By=C
8 terms
Mathematical Models of Motion Equations
V =
df =
a =
vf =
Δd/Δv = (df-di)/(tf-ti)
di+vt
Δv/Δt = (vf-vi)/(tf-ti)
vi + at
V =
Δd/Δv = (df-di)/(tf-ti)
df =
di+vt
10 terms
Chapter 3- The Mathematics of Formulas and Equations
Formula Mass
Gram Formula Mass
Gram Molecular Mass
Percent Composition
The sum of the atomic masses of all the atoms present, measur…
The formula mass represented in grams instead of a.m.u.s
Mass of molecular substance
the composition of each element compare with the total mass o…
Formula Mass
The sum of the atomic masses of all the atoms present, measur…
Gram Formula Mass
The formula mass represented in grams instead of a.m.u.s
13 terms
Translating Words to Mathematical Equations
Y years ago
Y years from now
C times as old as John
X older than Y
-Y
+Y
Cx(John's age)
X+Y
Y years ago
-Y
Y years from now
+Y
10 terms
Chapter 3- The Mathematics of Formulas and Equations
Formula Mass
Gram Formula Mass
Gram Molecular Mass
Percent Composition
The sum of the atomic masses of all the atoms present, measur…
The formula mass represented in grams instead of a.m.u.s
Mass of molecular substance
the composition of each element compare with the total mass o…
Formula Mass
The sum of the atomic masses of all the atoms present, measur…
Gram Formula Mass
The formula mass represented in grams instead of a.m.u.s
11 terms
Mathematics Midterm Equations Study Guide
function notation
finding the common difference in a seq…
finding a certain position's value in…
linear function
f(x)
a[n]=a[n-1]+d
a[n]=a[1]+(n-1)d
y=mx+b
function notation
f(x)
finding the common difference in a seq…
a[n]=a[n-1]+d
Mathematics Midterm Equations Study Guide
function notation
finding a certain position's value in…
linear function
direct variation
f(x)
a[n]=a[1]+(n-1)d
y=mx+b
y=kx
function notation
f(x)
finding a certain position's value in…
a[n]=a[1]+(n-1)d
11 terms
Mathematics Midterm Equations Study Guide
function notation
finding the common difference in a seq…
finding a certain position's value in…
linear function
f(x)
a[n]=a[n-1]+d
a[n]=a[1]+(n-1)d
y=mx+b
function notation
f(x)
finding the common difference in a seq…
a[n]=a[n-1]+d
18 terms
加減乘除的唸法 Mathematical Equations
How much is 1 plus 2
What is 1 plus 2
One plus two equals three
What is 8 minus 2
一加二是多少
一加二是多少
一加二等於三
八減二是多少
How much is 1 plus 2
一加二是多少
What is 1 plus 2
一加二是多少
6 terms
Topic 3: The Mathematics of Formulas and Equations
Formula Mass
Gram formula mass
Gram molecular mass
Percentage Composition
the mass of the smallest unit of the compound. the sum of all…
the formula mass expressed in grams instead of atomic mass un…
the gram formula masses of molecular substances
the composition as a percentage of each element compared with…
Formula Mass
the mass of the smallest unit of the compound. the sum of all…
Gram formula mass
the formula mass expressed in grams instead of atomic mass un…
15 terms
TRANSLATE: WRITTEN FORM - MATHEMATICAL EQUATIONS
6 equals x times 2
3 times X equals 12
2/3 times X equals 12
15 equals 6 times X
6 = 2x
3X = 12
2/3X = 12
15 = 6X
6 equals x times 2
6 = 2x
3 times X equals 12
3X = 12
9 terms
Topic 3: The Mathematics of Formulas and Equations
Formula Mass
Gram Formula Mass
Percent Composition
Hydrate
The sum of the atomic masses of all the atoms present.
The formula mass of a substance expressed in grams instead of…
The composition as a percentage of each element compared with…
An ionic substance that includes a definite amount of water a…
Formula Mass
The sum of the atomic masses of all the atoms present.
Gram Formula Mass
The formula mass of a substance expressed in grams instead of…
12 terms
Chemistry Regents: Mathematics of Formulas and Equations
Formula Mass
Gram Formula Mass
Molecular Mass
Percentage Composition
The sum of the atomic masses of all the atoms present. Ionic…
Simply the formula mass expressed in grams instead of amu's.
Represents the mass of a unit of a compound.
Represents the composition as a percentage of each element co…
Formula Mass
The sum of the atomic masses of all the atoms present. Ionic…
Gram Formula Mass
Simply the formula mass expressed in grams instead of amu's.
13 terms
International Mathematics 2 Chapter 7 Equations and Formulae
algebraic expression
equation
evaluate
formula
This consists of one or more terms joined together by operati…
A number sentence where one or more of the numbers is missing…
To find out the value of an expression
This represents a relationship between physical quantities
algebraic expression
This consists of one or more terms joined together by operati…
equation
A number sentence where one or more of the numbers is missing…
15 terms
TRANSLATE: WRITTEN FORM - MATHEMATICAL EQUATIONS
6 equals x times 2
3 times X equals 12
2/3 times X equals 12
15 equals 6 times X
6 = 2x
3X = 12
2/3X = 12
15 = 6X
6 equals x times 2
6 = 2x
3 times X equals 12
3X = 12
14 terms
Chapter 5-7 Mathematical Equations
slope
slope
slope
slope
m
rate of change
rise/run
slope
m
slope
rate of change
15 terms
TRANSLATE: WRITTEN FORM - MATHEMATICAL EQUATIONS
6 equals x times 2
3 times X equals 12
2/3 times X equals 12
15 equals 6 times X
6 = 2x
3X = 12
2/3X = 12
15 = 6X
6 equals x times 2
6 = 2x
3 times X equals 12
3X = 12
TRANSLATE: WRITTEN FORM - MATHEMATICAL EQUATIONS
6 equals x times 2
3 times X equals 12
2/3 times X equals 12
15 equals 6 times X
6 = 2x
3X = 12
2/3X = 12
15 = 6X
6 equals x times 2
6 = 2x
3 times X equals 12
3X = 12
Chapter 3: The Mathematics of Formulas and Equations
Mole
22.4 Liters
Volume
Number of particles
A mole is defined as the number of atoms of carbon present in…
A mole of any GAS occupies 22.4L of space
Number of moles × 22.4 ... (this only applies for gases)
Number of moles × 6.022 x 10²³
Mole
A mole is defined as the number of atoms of carbon present in…
22.4 Liters
A mole of any GAS occupies 22.4L of space
16 terms
TRANSLATE: WRITTEN FORM - MATHEMATICAL EQUATIONS
X equals 6 times 2/3
3 times X equals 4
2/3 times X equals 12
15 equals 6 times X
x= 6 x 2/3
3X = 4
2/3X = 12
15 = 6X
X equals 6 times 2/3
x= 6 x 2/3
3 times X equals 4
3X = 4
11 terms
Mathematics Midterm Equations Study Guide for Colin
function notation
finding the common difference in a seq…
finding a certain position's value in…
linear function
f(x)
a[n]=a[n-1]+d
a[n]=a[1]+(n-1)d
y=mx+b
function notation
f(x)
finding the common difference in a seq…
a[n]=a[n-1]+d
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