What is Standard Form

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

Standard form in Algebra is the most accepted form of a particular formula or concept. In math, standard forms can be seen in most of the topics because it gives a particular format to follow while we are performing calculations on numbers. For instance, standard form of a number ‘450’ in general is ‘450’, but we can also rewrite this number in another form popularly known as scientific notation as, ‘4.50 * 102’. Hence a standard form is considered to be the format, mostly preferred in common.

Example 1: Write the given equation, y = 5 – 2x in the standard form.

Given linear equation: y = 5 – 2x
The standard form of a linear equation is: Ax + By = C, where A, B, and C are integers and A, B are not equal to ‘0’.
Writing the given equation in standard form, we get
y = 5 – 2x ==> Add ‘2x’ on both sides.
This gives: y + 2x = 5 also written as 2x + y = 5.

Therefore the standard (or the general) form is 2x + y = 5.

Example 2: Write the given equation x(x – 3) = 4 in the standard form.

Given equation: x(x – 3) = 4
The standard form of a quadratic equation is: ax2 + bx + c = 0, where a, b, c are integers and ‘a’ is not equal to ‘0’.
Writing the given equation in standard form, we get
x (x – 3) = 4 ==> x2 – 3x = 4
Subtracting ‘4’ on both sides gives: x2 – 3x – 4 = 0

Therefore the standard (or the general) form is x2 – 3x – 4 = 0.