WORD PROBLEMS ON LINEAR EQUATIONS IN ONE VARIABLE WORKSHEET

Problem 1 :

When three times a certain number is subtracted from 15, the result is -6. Find the number.

Solution

Problem 2 :

Five times a certain number, minus 5, is equal to 7 more than three times the number. What is the number?

Solution

Problem 3 :

Three times the result of subtracting a certain number from 7 gives the same answer as adding eleven to the number. Find the number.

Solution

Problem 4 :

I think of a number. If I divide the sum of 6 and the number by 3, the result is 4 more than one quarter of the number. Find the number.

Solution

Problem 5 :

The sum of two numbers is 15. When one of these numbers is added to three times the other, the result is 27. What are the numbers?

Solution

Problem 6 :

What number must be added to both the numerator and the denominator of the fraction 2/5 to get the fraction 7/8?

Solution

Problem 7 :

What number must be subtracted from both the numerator and the denominator of the fraction 3/4 to get the fraction 1/3?

Solution

Problem 8 :

Eli is now one-quarter of his father's age and in 5 years time his age will be one-third the age of his father. How old is Eli now?

Solution

Problem 9 :

When Maria was born her mother was 24 years old. At present Maria's age is 20% of her mother's age. How old is Maria now?

Solution

Problem 10 :

Five years ago Jacob was one-sixth the age of his brother. In three years time his age doubled will match his brother's age. How old is Jacob now?

Solution