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There are several problems which involve relations among known and unknown numbers and can be put in the form of equations. The equations are generally stated in words and it is for this reason we refer to these problems as word problems. With the help of equations in one variable, we have already practiced equations to solve some real life ...

Linear equations are a type of equation that has a linear relationship between two variables, and they can often be used to solve word problems. In order to solve a word problem involving a linear equation, you will need to identify the variables in the problem and determine the relationship between them.

Amount she receives for one hour of babysitting = 6. Her allowance = 20. 6x + 20 = 71. 6x = 71 - 20. 6x = 51. x = 51/6. x = 17/2. x = 8.5. So, she is receiving $8.5 for one hour of babysitting. Problem 3 : Carol and Cathy are each saving money for a vacation. Carol started with $25 and saves $7.50 a week. Cathy started with $10 and saves $10 a ...

Here are five real-life word problems involving linear equations with one variable, along with their solutions. 1. **Problem:** A car rental company charges $30 per day plus $0.20 per mile. If a customer's bill is $75, how many miles did they drive? **Solution:** Let "m" be the number of miles driven. The equation becomes: $30 + 0.20m = $75.

Solve the equation for unknown. Verify to be sure whether the answer satisfies the conditions of the problem. Linear Equations in One Variable Word Problems with Solutions. Example 1. The sum of two numbers is 44. If one exceeds the other by 6, find the numbers? Solution: Let x be one of the two numbers. Then, another number is (x + 6).

Linear equations in one variable in Class 8 Math teach us that a mathematical equation can take many distinct forms with various variables, degrees, coefficients, and other factors. ... Some of the important word problems in Linear Equation Class 8 are mentioned below to help students with their exam preparation. Students must go through these ...

Linear equations in one variable is an equation having a maximum of one variable. Learn the definition, solutions, word problems, questions and formula only at BYJU'S. ... Linear Equations in One Variable Word Problems. Problem: The length of the legs of an isosceles triangle is 4 meters more than its base. If the Perimeter of the triangle is ...

We will need to create an equation based on the context of the given situation. When we first learn how to set up and solve word problems, it can be a real challenge for many students. It is often helpful to follow a step-by-step method for solving word problems. Six-step method for Applications of Linear Equations in One Variable. Read the ...

This document provides a worksheet with word problems on linear equations in one variable for students to practice. It includes 19 multi-step word problems involving setting up and solving linear equations, as well as word problems testing skills with ratios, proportions, and other concepts involving linear relationships. Answers to the problems are provided at the end for students to check ...

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.

Translate the given word problem into mathematical statements. Form the linear equations in one variable by using the conditions provided in the question. Solve the unknown parameters from the equation. Verify the condition with the obtained answer ad cross check whether it is correct or not. Linear Equations Examples with Answers. Example 1.

WORD PROBLEMS ON LINEAR EQUATIONS IN ONE VARIABLE Problem 1 : When three times a certain number is subtracted from 15, the result is -6. Find the number. Solution: Let the number be x. 15 - 3x = -6. 3x = 15 + 6. 3x = 21. x = 7. So, the number is 7. Problem 2 : Five times a certain number, minus 5, is equal to 7 more than three times the number.

Problem 1 : Sum of two numbers is 95. If one exceeds the other by 15, find the numbers. Problem 2 : A book has 50 more pages than nother book. If the total number of pages in both books is 400, how many pages does the larger book have? Problem 3 : If 15 is added to one-fourth of a number, the result is 4 times the number. What is the number ...

Practice the questions given in the worksheet on linear equation in one variable. Solve the following equations and check the result: Math Only Math. Learn math step-by-step. ... Solve the following word problems: 1. Ten added to thrice a whole number gives 40. Find the number. 2. Four-fifths of a number is greater than three-fourths of a ...

Worked-out problems on linear equations in one variable: 1. The sum of three consecutive multiples of 4 is 444. Find these multiples. Solution: If x is a multiple of 4, the next multiple is x + 4, next to this is x + 8. Their sum = 444 According to the question, x + (x + 4) + (x + 8) = 444 ⇒ x + x + 4 + x + 8 = 444 ⇒ x + x + x + 4 + 8 = 444 ⇒ 3x + 12 = 444 ⇒ 3x = 444 - 12 ⇒ x = 432/3 ...

In this chapter we will solve some word problem questions related to linear equation in one variable. To solve the questions, you have to follow below steps; (a) Frame the equation after reading the question. (b) Solve the equation and find the unknown variable.

Now let us solve some word problems on linear equation in one variable. 1) Sum of two numbers is 50. If one number is 4 times the other, find the numbers. Solution: Let one of the numbers be ‘x’. then second number is 4x. Then, x + 4x = 50 5x = 50 ...

Denote the unknown by the variables as x, y, ..... Translate the problem to the language of mathematics or mathematical statements. Form the linear equation in one variable using the conditions given in the problems. Solve the equation for the unknown. Verify to be sure whether the answer satisfies the conditions of the problem.

This math practice test on word problems on linear equations in one variable help the students to practice more. Solve the following equations: x/2 - 1/2 = x/3 + 1/4, 2. x - (x - 1)/2 = 1 - (x - 2) Math Only Math