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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
We can combine 7x and 9x.
Add the coeffceint and keep the variable.
16x+6
Solving Algebraic Equations:
Alot questions in Algebra asks you to isolate a variable. For example,
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,
<em>WHAT</em><em> </em><em>WE</em><em> </em><em>DO</em><em> </em><em>TO</em><em> </em><em>ONE</em><em> </em><em>SIDE</em><em>. </em><em>WE</em><em> </em><em>DO</em><em> </em><em>TO</em><em> </em><em>THE</em><em> </em><em>OTHER</em><em>.</em>
<em></em>
<em>Now</em><em>,</em><em> </em>we multiply both sides by 2 because multiplying is the inverse operation of division and vice versa.
If we plug this in, it is indeed true.
Some other rules are
If we multiply a term by a one term, we only affect the term that is being multiplied, for example
2 and 3 are both real numbers so we just multiply 2 and 3. and put x behind the answer.
When we multiply 2 variables, we put the variable near each other. For example,
When we add term, we add the coeffcient parts
Know that
When we multiply same term variables, we get
There is more formulas for Algebra. But these are the basicis.
Solving a polynomial inequation
Solving the following inequation:
(x - 8) (x + 1) > 0
We are going to find the sign both parts of the multiplication,
(x - 8) and (x + 1), have when
x < - 8
-8 < x < 1
1 < x
Then we know (x - 8) (x + 1) > 0 whenever (x - 8) (x + 1) is positive
We can see in the figure (x - 8) (x + 1) is positive when x < -8 and x > 1
Then
Answer:B