**"****Solving one step equations word problems****" is nothing but the initial stuff of learning how to solve word problems in algebra.**

**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. **

**Problem 1 :**

When 7 is added to a number, we get 25. Find the number.

**Solution : **

Let "x' be the required number.

According to the question, we have

x + 7 = 25

Here "7" is added to "x". To get rid of 7, we have to subtract 7 on both sides and solve the equation as explained below.

(x + 7) - 7 = (25) - 7

x = 18

**Hence, the required number is "18".**

Let us look at the next problem on "Solving one step equations word problems"

**Problem 2 :**

When we multiply a number by 4, we get 124. Find the number.

**Solution : **

Let "x' be the required number.

According to the question, we have

4x = 124

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

4x / 4 = 124 / 4

x = 31

**Hence, the required number is "31".**

Let us look at the next problem on "Solving one step equations word problems"

**Problem 3 :**

When we divide a number by 7, we get 14. Find the number.

**Solution : **

Let "m' be the required number.

According to the question, we have

m / 7 = 14

Here "m" is divided by "7". To get rid of 7, we have to multiply by 7 on both sides and solve the equation as explained below.

(m/7) x 7 = 14 x 7

m = 98

**Hence, the required number is "98".**

Let us look at the next problem on "Solving one step equations word problems"

**Problem 4 :**

John had some candies. He gave 5 candies to his friend and now he has 18 candies. How many candies did John initially have ?

**Solution : **

Let "m' be the no. of candies that John initially had.

According to the question, we have

m - 5 = 18

Here "5" is subtracted from "m". To get rid of 5, we have to add 5 on both sides and solve the equation as explained below.

(m - 5) + 5 = 18 + 5

m = 23

**Hence, John initially had 23 candies.**

Let us look at the next problem on "Solving one step equations word problems"

**Problem 5 :**

Alex borrowed some money from Jose. After 3 years, Alex returned 2 times of borrowed money to Jose. If the returned money is $226, how much money did Alex borrow from Jose ?

**Solution : **

Let "x' be the borrowed money.

According to the question, we have

2x = 226

Here "x" 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.

2x / 2 = 226 / 2

x = 113

**Hence, the borrowed money is $113. **

**Let us look at the next problem on "Solving one step equations word problems"**

**Problem 6 :**

The sum of two numbers 22.5. If one number is 7.5, find the other number.

**Solution : **

Let "x' be the other number.

According to the question, we have

x + 7.5 = 22.5

Here "7.5" is added to "x". To get rid of 7.5, we have to subtract 7.5 on both sides and solve the equation as explained below.

(x + 7.5) - 7.5 = 22.5 - 7.5

x = 15

**Hence, the other number is 15.**

**Let us look at the next problem on "Solving one step equations word problems"**

**Problem 7 :**

David has some money. He gave one fourth of the money to Lily. If Lily gets $8 from David, how much money did David have initially ?

**Solution : **

Let "m' be the money that David had initially.

According to the question, we have

m / 4 = 32

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

m/4 x 4 = 32 x 4

m = 128

**Hence, David had $128 initially.**

**Let us look at the next problem on "Solving one step equations word problems"**

**Problem 8 :**

In a deposit, invested money will become 4 times itself in 5 years. If Rosy receives $3280 after five years, how much money did Rosy invest ?

**Solution : **

Let "m' be the money that Rosy invested.

According to the question, we have

4m = 3280

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

4m / 4 = 3280 / 4

m = 820

**Hence, Rosy invested $820.**

Let us look at the next problem on "Solving one step equations word problems"

**Problem 9 :**

Jacob has some number of candies and Michael has 35 candies. If Michael has candies 5 times as Jacob, how many candies does Jacob have ?

**Solution : **

Let "p' be the number of candies that Jacob has.

According to the question, we have

5p = 35

Here "p" is multiplied by "5". To get rid of 5, we have to divide by 5 on both sides and solve the equation as explained below.

5p / 5 = 35 / 5

p = 7

**Hence, Jacob has 5 candies.**

**Let us look at the next problem on "Solving one step equations word problems"**

**Problem 10 :**

Daniel had some hot dogs and he gave one third of the hot dogs to Alex. If Alex gets 8 hot dogs from Daniel, how many hot dogs did have initially ?

**Solution : **

Let "h" be the number of hot dogs that Daniel had initially.

According to the question, we have

m / 3 = 8

Here "m" is divided by "3". To get rid of 3, we have to multiply by 3 on both sides and solve the equation as explained below.

m/3 x 3 = 8 x 3

m = 24

**Hence, Daniel had 24 hot dogs initially.**

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