Write And Solve Linear Equations Word Problems Worksheet

Algebra 1
One-Variable Equations

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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 9393 of the coasters. There are still 400400 coasters left to ride.\newlineSolve for cc 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=400c + 93 = 400. This is because Uncle Bob has already ridden 9393 coasters, and there are 400400 coasters left to ride.
  3. Isolate Variable cc: To solve the equation c+93=400c + 93 = 400, we need to isolate cc. We do this by subtracting 9393 from both sides of the equation.
  4. Subtract 9393: Subtracting 9393 from both sides gives us c=40093c = 400 - 93.
  5. Calculate Total: Now we calculate 40093400 - 93 to find the value of cc.
  6. Final Result: 40093400 - 93 equals 307307.
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About Worksheet

Algebra 1
One-Variable Equations

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.

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