Algebra is the representation of mathematical expressions into algebraic forms by using letters and symbols.
We use different variables like a,b,c or x,y,z, etc., and manipulate them using various math symbols like addition, subtraction, multiplication, and division to obtain desired mathematical expressions.
If x + y = 5 and x – y = 7 then what is the value of x?
x + y = 5
x – y = 7
2x = 12
x = 6
Important Algebra’s Formula
The algebraic formulas are the cornerstone of solving various complex problems. Here we have listed the most important formulas that are often used while solving algebraic equations. Students can get the pdf of the maths formula to learn more.
Important algebraic formulas
Important Exponential Formulas
Algebraic Questions of Class 8
Q.1 Give the two examples of monomials.
Ans: The two examples of monomials are
Q.2 What is the coefficient of
Ans: 1. 9
Q.3 Add the following expressions
-5a2b2, 4a2b2, 2/3 a2b2
Ans: -5a2b2+ 4a2b2+ 2/3 a2b2
= –a2b2 + 2/3 a2b2
= -3a2b2 + 2a2b2/3
Q.4 Add the following expressions
8x2+6xy+9y2 ,4x2-2xy+3y2, 7x2-4xy+10y2
Q.5 Subtract the following expression
3x2 + 3xy – 2y2
Q.6 Simpify the following
x2(y2–z2) + y2(z2–x2) + z2(x2–y2)
= x2(y2–z2) + y2(z2–x2) + z2(x2–y2)
= x2 y2– x2z2 + y2z2 – y2x2 + z2x2 – z2y2
= x2 y2 – y2x2 + y2z2 – z2y2 – x2z2 + z2x2
Important Algebra’s Questions of Class 9
Here we have provided solved algebraic questions. If you want to practice different types of questions then check out the important questions for class 9 maths.
Q.1 Factorize the the following equation
= a3–b3 = (a-b)(a2+b2+2ab)
Q.2 Factorize x2+y-xy-x
Q.3 Factorize x(x-2)(x-4)+4x-8
= (x-2)3 .
Q.4 Solve 32x3+108y3
Take 4 common.
=4(8x3 + 27y3)
According to formula a3+b3 = (a+b)(a2+b2-2ab)
Q.5 If x+y+z= 9 and xy+yz+zx=40 then find x2+y2+ z2
According to formula
92 = x2+y2+ z2+2(40)
81 = x2+y2+ z2+80
x2+y2+ z2 = 1.
Algebraic geometry Questions for Class 10
Check out the most important algebraic geometry questions for class 10.
Q.3 Find the value of x, if the distance between the points(x,-1) and (3,2) is 5.
Q1. What are the different types of algebra?
Ans- Algebra is divided into five subsections named as elementary algebra, abstract algebra, linear algebra, commutative algebra and advanced algebra.
Q2. What is an algebra in mathematical terms?
Ans- It is part of mathematics that helps in the representation of problems and the situations in the form of mathematical equations. In algebra, we use numbers like 4, -5, 0.007 etc and variables like x, y, z etc.
Q3. What are the three rules of algebra?
Ans- The three rules of algebra are: distributive, commutative and associative algebra which represents different identities of algebra.