Algebra Formulas for Class 10
“Quadratic Formula” is an important algebraic formula that is introduced to students in class 10. It is used for solving general quadratic equations. The general form of any quadratic equation is ax2 + bx + c = 0, where x is variable a, b is coefficient and c is constant. There are two ways of solving this quadratic equation.
- Solution using Algebraic Method
- Using Quadratic Formula
Other important formulas used in class 10 are
Formulas for Arithmetic Sequence
For any given arithmetic sequence {a, a + d, a + 2d, …}
- nth term, an = a + (n – 1) d
- Sum of the first n terms, Sn = n/2 [2a + (n – 1) d]
Formulas for Geometric Sequence
For any given geometric sequence {a, ar, ar2, …}
- nth term, an = a rn – 1
- Sum of the first n terms, Sn = a (1 – rn) / (1 – r)
- Sum of infinite terms when r<1, S = a / (1 – r)
Algebra Formulas
Algebra Formulas are the basic formulas that are used to simplify algebraic expressions. Algebraic Formulas form the basis for solving various complex problems. Algebraic Formulas help solve algebraic equations, quadratic equations, polynomials, trigonometry equations, probability questions, and others.
An identity is a true equation for any values assigned to the variables. Algebraic Identities are used to solve various equations. For Algebraic Identities, L.H.S is always equal to R.H.S.
Table of Content
- What are Algebra Formulas?
- Algebraic Identities
- Algebra Formulas for Class 8
- Algebra Formulas for Class 9
- Law of Exponent
- Algebra Formulas for Class 10
- Formulas for Arithmetic Sequence
- Formulas for Geometric Sequence
- Algebra Formulas for Class 11
- Algebra Formulas for Class 12
- Solved Examples on Algebra Formulas
- Summarizing Algebra Formulas
- Practice Problems on Algebra Formulas