Algebraic Formula Sheet Algebraic Formula Sheet Arithmetic Operations ac bc = c(a + b)
, M R , Mathematical Handbook of Formulas and Tables valid for all values of x sin x =
ass 10 Math's Summary This pdf list all the Class 10 CBSE math's formula in a concise manner
ic Formula Sheet Arithmetic Real Numbers : R={All numbers that are either a rational or an
ic Identities 7 Complex Numbers 8 1 4 2 3 2 ALGEBRA 2 1 Factoring Formulas 12 2 2 Product
ntal of Mathematics 19 – 21 12 (Note that lateral surfaces of a prism are all rectangle) 15
hts reserved 2014 GED® Test Resources Mathematics Formula Sheet Explanation The 2014
ndout is intended as a review of basic geometric formulas and properties For further or more
ic maths class 10 formulas are almost the same for all the boards The list of maths formulas are:
Algebraic Formula Sheet Algebraic Formula Sheet Arithmetic Operations ac bc = c(a + b)
[PDF] all japan judo 2016
[PDF] all tenses exercises
[PDF] allèle définition svt
[PDF] allemagne vs algerie 1982
[PDF] allemand 3as algerie
[PDF] allemand cm2 exercices
[PDF] allemand lv2
[PDF] allemand lv2 troisieme
[PDF] allen family reunion 2007
[PDF] alliance francais rouen
[PDF] alliance francais toulouse
[PDF] alliance française
[PDF] alliance francaise bordeaux
[PDF] alliance française cours de français
[PDF] alliance francaise lyon
Algebraic Formula Sheet
Arithmetic Operations
ac+bc=c(a+b) ab !c =abc ab +cd =ad+bcbd abcd=badc ab+aca =b+c; a6= 0a bc abc a bc =acb ac cd =adbcbd a+bc =ac +bc ab cd =adbc
Properties of Exponents
x nxm=xn+m (xn)m=xnm (xy)n=xnyn x nm x1m n= x n 1m xy n yx n =ynx nx
0= 1; x6= 0
xy n =xny n 1x n=xn x nx m=xnm x n=1x n
Properties of Radicals
n px=x1n n pxy=npx npy m qn px=mnpx n rx y =npx n py n px n=x;ifnis odd n px n=jxj;ifnis evenProperties of Inequalities
Ifa < bthena+c < b+candac < bc
Ifa < bandc >0 thenac < bcandac
Ifa < bandc <0 thenac > bcandac >bc Properties of Absolute Value
jxj=( xifx0 xifx <0 jxj 0 jxyj=jxjjyjj xj=jxj xy =jxjjyj jx+yj jxj+jyjTriangle Inequality jxyj jxj jyjReverse Triangle Inequality Distance Formula
Given two points,PA= (x1;y1) andPB= (x2;y2),
the distance between the two can be found by: d(PA;PB) =p(x2x1)2+ (y2y1)2 Number Classications
Natural Numbers:N=f1, 2, 3, 4, 5, . . .g
Whole Numbers:f0, 1, 2, 3, 4, 5, . . .g
Integers:Z=f... ,-3, -2, -1, 0, 1, 2, 3, .. .g
Rationals:Q=All numbers that can be writ-
ten as a fraction with an integer numerator and a nonzero integer denominator,ab Irrationals:fAll numbers that cannot be ex-
pressed as the ratio of two integers, for examplep5, p27, andg Real Numbers:R=fAll numbers that are either a
rational or an irrational numberg 1 Logarithms and Log Properties
Denition
y= logbxis equivalent tox=by Example
log 216 = 4because24= 16
Special Logarithms
lnx= logexnatural log wheree=2.718281828... logx= log10xcommon logLogarithm Properties log bb= 1 log bbx=x lnex=xlog b1 = 0 b logbx=x e lnx=x log b(xk) =klogbx log b(xy) = logbx+ logby log b xy = log bxlogby Factoring
xa+xb=x(a+b) x 2y2= (x+y)(xy)
x 2+ 2xy+y2= (x+y)2
x 22xy+y2= (xy)2
x 3+ 3x2y+ 3xy2+y3= (x+y)3
x 33x2y+ 3xy2y3= (xy)3x
3+y3= (x+y)x2xy+y2
x 3y3= (xy)x2+xy+y2
x 2ny2n= (xnyn)(xn+yn)
Ifnis odd then,
x nyn= (xy)xn1+xn2y+:::+yn1 x n+yn= (x+y)xn1xn2y+xn3y2:::yn1 Linear Functions and Formulas
Examples of Linear Functionsxy
y=xlinear functionxy y= 1constant function 2 Constant Function
This graph is a horizontal line passing
through the points (x;c) with slopem= 0 : y=c or f(x) =c Slope (a.k.a Rate of Change)
The slopemof the line passing through
the points (x1;y1) and (x2;y2) is : m=yx=y2y1x 2x1=riserun
Linear Function/Slope-intercept form
This graph is a line with slopem
andyintercept(0;b) : y=mx+b or f(x) =mx+b Point-Slope form
The equation of the line passing through
the point (x1;y1) with slopemis : y=m(xx1) +y1 Quadratic Functions and Formulas
Examples of Quadratic Functionsxy
y=x2parabola opening upxy y=x2parabola opening down Forms of Quadratic Functions
Standard Form
y=ax2+bx+c or f(x) =ax2+bx+c This graph is a parabola that
opens up ifa >0 or down if a <0 and has a vertex at b2a;f b2a .Vertex Form y=a(xh)2+k or f(x) =a(xh)2+k This graph is a parabola that
opens up ifa >0 or down if a <0 and has a vertex at (h;k). 3 Quadratics and Solving forx
Quadratic Formula
To solveax2+bx+c= 0,a6= 0,
use : x=bpb 24ac2a.
The Discriminant
The discriminant is the part of the quadratic
equation under the radical,b24ac. We use the discriminant to determine the number of real solutions ofax2+bx+c= 0 as such : 1.Ifb24ac >0, there are two real solutions.
2.Ifb24ac= 0, there is one real solution.
3.Ifb24ac <0, there are no real solutions.Square Root Property
Letkbe a nonnegative number. Then the
solutions to the equation x 2=k are given byx=pk. Other Useful Formulas
Compound Interest
A=P 1 +rn nt where: P= principal of P dollars
r= Interest rate (expressed in decimal form) n= number of times compounded per year t= time Continuously Compounded Interest
A=Pert
where: P= principal of P dollars
r= Interest rate (expressed in decimal form) t= time Circle
(xh)2+ (yk)2=r2 This graph is a circle with radiusr
and center (h;k). Ellipse
(xh)2a 2+(yk)2b
2= 1 This graph is an ellipse with center
(h;k) with verticesaunits right/leftquotesdbs_dbs14.pdfusesText_20
×
if you Get
No preview available Click on (Next PDF)
Next PDF
Mathematical Formula Handbook