Here are some things you should know when solving algebraic equations.
If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.
You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.
To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.
The distributive property is another important rule you will need to understand.
The distributive property is used mostly for simplifying parentheses in expressions/equations.
For example, how would you get rid of the parentheses here?
6(x + 1)
If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves.
The distributive property states that a(b + c) = ab + ac
So, now we can simplify our expression.
6(x + 1) = 6x + 6
Answer:
x4−8x3+24x2−32x+16
Step-by-step explanation:
(x−2)4
=(x−2)4
Answer:
x =
will be the expression.
Step-by-step explanation:
In this question an expression has been given which represents the relation between average cost C and number of T shirts (x) manufactured.
We have to solve this expression for the value of x (number of T-shirts) in terms of C.
C = 5x + 410x
C = 415x
x = 
Therefore, x =
will be expression showing the number of T-shirts in terms of average cost.
Answer: 15 units
Step-by-step explanation:
Given
The endpoints of the line segment are 
The length of the line segment is given by the distance formula i.e.

Insert the values,

Therefore, the length of line segment TU is 15 units
Answer:
Step-by-step explanation:

