Question

Algebra what a subject please write down all the rules when using algebra ill provide some below that I know

Answer 1

Step-by-step explanation:

Algebra is a topic that covers linear equations, system of equations, sequences, exponential functions, polynomials, quadratic, exponents, radicals, functions, and more. I'm going to give use algebraic formulas and not all the topics.

Like Terms Rule: If two terms that share the same variable are separated by a binary operation, we can combine them.

For example, look at

$6 + 7x + 9x$

We can combine 7x and 9x.

$7x + ( + 9x) = 16x$

Add the coeffceint and keep the variable.

16x+6

Solving Algebraic Equations:

Alot questions in Algebra asks you to isolate a variable. For example,

$\frac{x}{2} + 6 = 9$

First step, is to get the x variable by itself. To do this subtract 6 by both sides. Why? Because Subtraction is a inverse operation off addition. Remeber the Golden Rule of Algebra,

WHAT WE DO TO ONE SIDE. WE DO TO THE OTHER.

$\frac{x}{2 } = 3$

Now, we multiply both sides by 2 because multiplying is the inverse operation of division and vice versa.

$x = 6$

If we plug this in, it is indeed true.

$\frac{6}{2} + 6 =$

$3 + 6 = 9$

Some other rules are

If we multiply a term by a one term, we only affect the term that is being multiplied, for example

$2x \times 3$

2 and 3 are both real numbers so we just multiply 2 and 3. and put x behind the answer.

$2 \times 3 = 6(x)$

$2x \times 3 = 6x$

When we multiply 2 variables, we put the variable near each other. For example,

$x \times y = xy$

When we add term, we add the coeffcient parts

$y + y = 1y + 1y = 2y$

Know that

$y = 1y$

When we multiply same term variables, we get

$x \times x = {x}^{2}$

There is more formulas for Algebra. But these are the basicis.