SOLVING ONE STEP EQUATIONS

"Solve one step equations" is nothing but the initial stuff of learning algebra in math.

A one-step equation is as straightforward as it sounds. We just have to perform one step in order to solve the equation.

We have to isolate the variable which comes in the equation.

That is, we have to get rid of the number which is added to the variable or subtracted from the variable or multiplied by the variable or divides the variable.

Solve one step equations - Examples

Example 1 :

Solve :  5 + x  =  3

Solution :

Here 5 is added to the variable "x". To get rid of 5, we have to take "negative 5" on both sides and solve the equation as explained below.

Hence, the value of "x" is "-2"

Example 2 :

Solve :  p - 7  =  3

Solution :

Here 7 is subtracted from the variable "p". To get rid of "-7", we have to take "positive 7" on both sides and solve the equation as explained below.

Hence, the vale of "p" is "10"

Example 3 :

Solve :  2r  =  6

Solution :

Here "r" is multiplied by 2. To get rid of 2, we have to divide by 2 on both sides and solve the equation as explained below.

Hence, the vale of "r" is "3"

Example 4 :

Solve :  (1/4)m  =  3

Solution :

Here "m" is divided by 4. To get rid of 4, we have to divide by 4 on both sides and solve the equation as explained below.

Hence, the vale of "m" is "12"

Example 5 :

Solve :  8 - p  =  12

Solution :

Here "p" is having negative sign.

In this problem, first we have to make "p" to be positive.

For that, we have to add "p" on both sides. When we do so, we will have "12 + p" on the right side of the equation.

Then, to get rid of "12" on the right side, we have to subtract 12 on both sides.

Therefore, we have to add "p" and subtract "12" on both sides and solve the equation as explained below.

Hence, the vale of "p" is "-4"

Example 6 :

Solve :  m - 10  =  -15

Solution :

Here "10" is subtracted from "m". To get rid of 10, we have to add 10 on both sides and solve the equation as explained below.

(m - 10) + 10  =  (-15) + 10

m  =  -5

Hence, the value of "m" is "-5

Example 7 :

Solve :   v + 5 / 3  =  - 1/ 3

Solution :

Here "5/3" is added to "v". To get rid of 5/3, we have to subtract 5/3 on both sides and solve the equation as explained below.

(v + 5/3) - 5/3  =  (-1/3) - 5/3

v  =  -2

Hence, the value of "v" is "-2"

Example 8 :

Solve :  38 - m  =  -44

Solution :

Here "m" is having negative sign.

In this problem, first we have to make "m" to be positive.

For that, we have to add "m" on both sides. When we do so, we will have "- 44 + m" on the right side of the equation.

Then, to get rid of "-44" on the right side, we have to add 44 on both sides.

Therefore, we have to add "m" and "44" on both sides and solve the equation as explained below.

(38 - m) + m + 44  =  (-44) + m + 44

82  =  m

Hence, the value of "m" is "82"

Example 9 :

Solve :  11.7  =  1.1 + n

Solution :

Here "1.1" is added to "n". To get rid of 1.1, we have to subtract 1.1 on both sides and solve the equation as explained below.

(11.7) -1.1  =  (1.1 + n) - 1.1

10.6  =  n

Hence, the value of "n" is "10.6"

Example 10 :

Solve :  -25.7 - v  =  -40.3

Solution :

Here "v" is having negative sign.

In this problem, first we have to make "v" to be positive.

For that, we have to add "m" on both sides. When we do so, we will have "- 40.3 + v" on the right side of the equation.

Then, to get rid of "-40.3" on the right side, we have to add 40.3 on both sides.

Therefore, we have to add "v" and "40.3" on both sides and solve the equation as explained below.

(-25.7 - v) + v + 40.3  =  (-40.3) + v + 40.3

14.6  =  v

Hence, the value of "v" is "40.3"

We hope that the students would have understood the stuff given on "Solve one step equations"

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