Free Online Algebra Calculators

Introduction of free online algebra calculators:

Algebra is the part of mathematics which always deals with the study of operations such as addition, subtraction, multiplication and division. Algebra includes variables, constants, polynomials, exponents, terms and expressions. Basic operation of algebra is to balance the expression on both sides. This article free online algebra calculator briefly tells you the operations of algebra with various examples. I like to share this Polynomial and Rational Functions with you all through my article.


Examples of free online algebra calculators:


For free online algebra calculators consider the following examples.

Ex 1:   Simplify the expression:

10(a-5) + 7b-4(2a -3b+5) +15

Sol :        = (10a-15) + 7b-4(2a -3b+5) +15.

= 10a-15 + 7b -8a+12b-20+15.

= 10a-8a+7b+12b-15-20+15.

= 2a+19b-20.

Ex 2 :      Solve the equations:

x + 2y + 3z = 14, 3x + y + 2z = 11, 2x + 3y + z = 11

Sol :     Let the given equations be

x + 2y + 3z = 14  `|->` (1)

3x + y + 2z = 11  `|->` (2)

2x + 3y + z = 11  `|->` (3)

Consider the equations (1) and (3)

(1) `rArr` x + 2y + 3z = 14

(3) × 3 `rArr` 6x + 9y + 3z = 33

Subtract (1) –(3):

–5x – 7y = –19

5x + 7y = 19          `|->` (4)

Consider the equations (2) and (3)

(2) `rArr` 3x + y + 2z = 11

(3) × 2 `rArr` 4x + 6y + 2z = 22

Subtract (2) – (3):

–x – 5y = –11

x + 5y = 11              `|->` (5)

Consider the equations (4) and (5)

(4) `rArr` 5x + 7y = 19

(5) × 5 `rArr` 5x + 25y = 55

Subtract (4) – (5):

–18y = –36;                             i.e. y = 2

Substitute y = 2 in (5) we get

x + 5(2) = 11; x + 10 = 11;   i.e. x = 1

Substitute x = 1, y = 2 in (3) we get

2(1) + 3(2) + z = 11; 2 + 6 + z = 11 ; z = 3

The solution is x = 1, y = 2, z = 3.

Understanding Determinant Calculator is always challenging for me but thanks to all math help websites to help me out.

Practice problems for the free online algebra calculators:


Consider following problems for practice.

Pro 1 :  Solve the expression:  5(2a-3b+5c+7) + 21a – 3c + 34 + 12b.

Answer: 31a-3b+22c+69

Pro 2 :  Solve: 3x – 3y + 4z = 14; –9x – 6y + 2z = 1; 6x + 3y + z = 5

Answer: x = 1, y = –1, z = 2

These are the problems under the free online algebra calculators.