**"****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.**

**Please click the below links to download worksheets. **

We hope that the students would have understood the stuff given on "Solving one step equations word problems"

If you need any other stuff, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**

**Sum of all three four digit numbers formed using 0, 1, 2, 3**

**Sum of all three four digit numbers formed using 1, 2, 5, 6**

HTML Comment Box is loading comments...