Algebra is a branch of Mathematics in which symbols, usually letters of the English alphabet are written along with the numbers to represent an arithmetic expression or equation depicting a relation. Algebra 1- Review provides a very effective tool in solving mathematical problems by representing unknown quantities in the form of a symbol or letter of the English alphabet(x, y, z etc.). There can be one or more unknowns in an equation, but each unknown is represented by a different letter. An algebraic expression has a collection of numbers and letters separated by the +, -, x or ÷ operators.
If the highest exponent on the variable in the algebraic equation is 1 it is said to be linear equation.
Example: Solve 4x + 7 = 11
Solution: - Equation is:-
4x + 7 = 11
In this equation now to find the value of x, first we have to subtract 7 from both sides,
4x + 7- 7 = 11- 7
4x + 0 = 4
4x = 4
Now in the last step to find the value of x, we have to divide both sides of the equation by 4
4x/4 = 4/4
x = 1
So x =1 is the solution of the above equation.
Example 2:- Solve 2x + 5 = 25
Solution 2:- Equation is 2x + 5 = 25
Similarly in the above equation we need to subtract 5 from both sides of the equation and then we have to divide by 2.
2x + 5 = 25
2x + 5- 5 = 25-5
2x = 20
x = 10.
So x =10 is the solution of the above equation.