# Write And Solve Linear Equations Word Problems Worksheet

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Solving linear equations word problems is about transforming real-life situations into linear math equations. This process includes identifying unknown quantities, assigning variables to represent them, then formulating equations based on the relationships between variables, and finally, using operations to find the unknown values. In these worksheets, students will first formulate an equation based on the given information and then will solve the equation to find the value of the unknown variable.

Algebra 1
One-Variable Equations

## How Will This Worksheet on "Write and Solve Linear Equations Word Problems" Benefit Your Students' Learning?

• Helps improve critical thinking and problem-solving skills.
• It develops the skill to represent real life situations into mathematical form.
• It helps in analysis of real world situations.

## How to Write and Solve Linear Equations Word Problems?

• Carefully read the given word problem to figure out what is given in the problem.
• Identify the unknown quantity and assign a variable to represent it.
• Create an equation based on the given information.
• After formulating the equation, use required algebraic operations to find the value of the unknown variable.

## Solved Example

Q. Hassan's energetic Uncle Bob loves roller coasters, and he wants to ride them all! One day, Hassan prints out a list of all the roller coasters in the United States. After reading it with Uncle Bob, they discover he has already ridden $93$ of the coasters. There are still $400$ coasters left to ride.$\newline$Solve for $c$ to find the number of roller coasters on Hassan's list.$\newline$____ roller coasters$\newline$
Solution:
1. Identify Total Coasters: To find the total number of roller coasters on Hassan's list, we need to subtract the number of coasters Uncle Bob has already ridden from the total number of coasters ride.
2. Equation Representation: The correct equation that represents this situation is $c + 93 = 400$. This is because Uncle Bob has already ridden $93$ coasters, and there are $400$ coasters left to ride.
3. Isolate Variable $c$: To solve the equation $c + 93 = 400$, we need to isolate $c$. We do this by subtracting $93$ from both sides of the equation.
4. Subtract $93$: Subtracting $93$ from both sides gives us $c = 400 - 93$.
5. Calculate Total: Now we calculate $400 - 93$ to find the value of $c$.
6. Final Result: $400 - 93$ equals $307$.

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