Pre Algebra Two Step Equations

An equation is a mathematical statement that asserts the equality of two expressions. Equations consist of the expressions that to be equal on opposite sides of an equal sign. (Source: From Wikipedia).
The following rules are used to solve the equation and the equation does not change: Add or subtract any variable or number to the both sides of the equation. Multiply or divide any variable or number to the both sides of the equation.
2 step equations is the method of solving the equations by 2 steps.  Now, we are going to see some of the problems on pre algebra two step equations.

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Problems on Pre Algebra Two Step Equations:

Example problem 1:
Find the value of x: -4 x + 6 = 30
Solution:
Step 1: Subtract 4 on both sides of the equation
-4x + 6 - 6 = 30 – 6
-4 x = 24
Step 2: Divide by -4 on both sides of the equation
`(-4x) / -4 = 24 / -4`
x = -6.
So, x = -6 is the solution of the given equation.
Example problem 2:
Find the value of m: 2m - 2 = 12
Solution:
Step 1: Add 2 on both sides of the equation
2m - 2 + 2 = 12 + 2
2m = 14
Step 2: Divide by 2 on both sides of the equation
`(2m) / 2 = 14 / 2`
m = 7
So, m = 7 is the solution of the given equation.

Few more Problems on Pre Algebra Two Step Equations:

Example problem 3:
Find the value of t: 12 – `(t / 2)` = 6
Solution:
12 –` (t / 2) ` = 6
Step 1: Subtract 12 on both sides of the equation
12 –` (t / 2)`  – 12 = 6 – 12
-`(t / 2)`  = -6
Step 2: multiply by -2 on both sides of the equation
-` (t / 2)` * -2 = -6 * -2
t = 12
So, t = 12 is the solution of the given equation.
Example problem 4:
Find the value of p: `(p / 2)` + 8 = 13
Solution:
Step 1: Subtract 8 on both sides of the equation
`(p / 2) ` + 8 - 8 = 13 – 8
`(p / 2) ` = 5
Step 2: multiply by 2 on both sides of the equation.
`(p / 2)` * 2 = 5 * 2
p = 10.
So, p = 10 is the solution of the given equation.

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Practice Problems on Pre Algebra Two Step Equations:

1)     Find the value of p: (p / 3) + 6 = 7 (Answer: p = 3).
2)     Find the value of q: 4q + 2.5 = 6.5 (Answer: q = 1).
 3)   Find the value of t: 2 t + 11 = 2 (Answer: t = -4.5)