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In worksheet on word problems on linear equation in one variable student can practice different types of equation problems.1. Convert the following statements into equations. (a) 5 added to a number is 9. (b) 3 subtracted from a number is equal to 12. (c) 5 times a number decreased by 2 is 4. (d) 2 times the sum of the number x and 7 is 13. 2. A number is 12 more than the other. Find the numbers if their sum is 48. 3. Twice the number decreased by 22 is 48. Find the number. 4. Seven times the number is 36 less than 10 times the number. Find the number. 5. 45 of a number is more than 34 of the number by 5 . Find the number. 6. The sum of two consecutive even numbers is 38. Find the numbers. 7. The sum of three consecutive odd numbers is 51. Find the numbers. 8. Rene is 6 years older than her younger sister. After 1 0 years, the sum of their ages will be 50 years. Find their present ages. 9. The length of a rectangle is 10 m more than its breadth. If the perimeter of rectangle is 80 m, find the dimensions of the rectangle. 10. A 300 m long wire is used to fence a rectangular plot whose length is twice its width. Find the length and breadth of the plot. 11. The denominator of a fraction is greater than the numerator by 8. If the numerator is increased by 17 and denominator is decreased by 1, the number obtained is 32, find the fraction. 12. A sum of $2700 is to be given in the form of 63 prizes. If the prize is of either $100 or $25, find the number of prizes of each type. 13. In a class of 42 students, the number of boys is 25 of the girls. Find the number of boys and girls in the class. 14. Among the two supplementary angles, the measure of the larger angle is 36° more than the measure of smaller. Find their measures. 15. My mother is 12 years more than twice my age. After 8 years, my mothers age will be 20 years less than three times my age. Find my age and my mothers age. 16. In an isosceles triangle, the base angles are equal and the vertex angle is 80°. Find the measure of the base angles. 17. Admans father is 49 years old. He is 5 years older than four times Admans age. What is Admans age? 18. The cost of a pencil is 25 cents more than the cost of a eraser. If the cost of 8 pencils and 10 erasers is $12.80, find the cost of each. 19. Divide 36 into two parts in such a way that 15 of one part is equal to 17 of the other. 20. The length of the rectangle exceeds its breadth by 3 cm. If the length and breadth are each increased by 2 cm, then the area of new rectangle will be 70 sq. cm more than that of the given rectangle. Find the length and breadth of the given rectangle. Answers for worksheet on word problems on linear equation in one variable are given below so that student can check the exact answers of the equation problems.Answers:1. (a) x + 5 = 9 (b) x - 3 = 12(c) 5x - 2 = 4 (d) 2(x + 7) = 13 2. 18, 30 3. 35 4. 12 5. 1006. 18, 20 7. 15, 17, 19 8. 12, 18 years 9. 15 cm, 25 cm 10. 50 m, 100 m 11. 132112. 15, 4813. 30 girls, 12 boys14. 72°, 108°15. 16 years, 44 years 16. 50° 17. 11 years18. eraser – 60 cents, pencil – 85 cents 19. 15, 21 20. length = 18 m, breadth = 15 m ● EquationsWhat is an Equation?What is a Linear Equation?How to Solve Linear Equations?Solving Linear EquationsProblems on Linear Equations in One VariableWord Problems on Linear Equations in One VariablePractice Test on Linear EquationsPractice Test on Word Problems on Linear Equations● Equations - WorksheetsWorksheet on Linear EquationsWorksheet on Word Problems on Linear Equation7th Grade Math Problems8th Grade Math Practice From Worksheet on Word Problems on Linear Equation to HOME PAGE Didnt find what you were looking for? Or want to know more informationabout Math Only Math.Use this Google Search to find what you need. Share this page:Whats this? Some word problems require the use of systems of linear equations . Here are clues to know when a word problem requires you to write a system of linear equations: (i) There are two different quantities involved: for instance, the number of adults and the number of children, the number of large boxes and the number of small boxes, etc. (ii) There is a value associated with each quantity: for instance, the price of an adult ticket or a childrens ticket, or the number of items in a large box as opposed to a small box. Such problems often require you to write two different linear equations in two variables. Typically, one equation will relate the number of quantities (people or boxes) and the other equation will relate the values (price of tickets or number of items in the boxes). Here are some steps to follow: 1. Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find. Familiarize the problem situation. 2. Translate the problem to an equation. Assign a variable (or variables) to represent the unknown. Clearly state what the variable represents. 3. Carry out the plan and solve the problem. Use substitution , elimination or graphing method to solve the problem. Example: The cost of admission to a popular music concert was $ 162 for 12 children and 3 adults. The admission was $ 122 for 8 children and 3 adults in another music concert. How much was the admission for each child and adult? 1 . Understand the problem: The admission cost for 12 children and 3 adults was $ 162 . The admission cost for 8 children and 3 adults was $ 122 . 2 . Translate the problem to an equation. Let x represent the admission cost for each child. Let y represent the admission cost for each adult. The admission cost for 12 children plus 3 adults is equal to $ 162 . That is, 12 x + 3 y = 162 . The admission cost for 8 children plus 3 adults is equal to $122. That is, 8 x + 3 y = 122 . 3 . Carry out the plan and solve the problem. Subtract the second equation from the first. 12 x + 3 y = 162 8 x + 3 y = 122 _ 4 x = 40 x = 10 Substitute 10 for x in 8 x + 3 y = 122 . 8 ( 10 ) + 3 y = 122 80 + 3 y = 122 3 y = 42 y = 14 Therefore, the cost of admission for each child is $ 10 and each adult is $ 14 .

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