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Writing Real-World Problems Given an Equation or Inequality

T.i.P.S.

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Students should be able to write a real-world problem when given an equation or inequality. Equations should contain only one-variable which will appear on both sides of the equation. The coefficient for the variable could be a fraction or decimal. When substituted back into the equation, the solution to the equation, which is the variable, will make the equation true or both sides equal to each other. Inequalities that contain one-variable which will appear on both sides of the inequality. Students should understand combining like terms and the distributive property to write one-variable equations and inequalities. 

Example

Which of the following problem situations is represented by this inequality, 0.35m + 3 < 0.45m + 1.50?

a) An Uber driver charges $0.45 per mile and an initial fee of $3. A Lift driver charges $0.35 per mile and an initial fee of $3. When will the cost of using Lift greater than taking Uber?

b) An Uber driver charges $0.35 per mile and an initial fee of $3. A Lift driver charges $0.45 per mile and an initial fee of $1.50. When will the cost of using Lift less than taking Uber?

c) An Uber driver charges $0.45 per mile and an initial fee of $3. A Lift driver charges $0.35 per mile and an initial fee of $1.50. When will the cost of using Lift greater than taking Uber?

d) An Uber driver charges $0.35 per mile and an initial fee of $3. A Lift driver charges $0.45 per mile and an initial fee of $1.50. When will the cost of using Lift greater than taking Uber?

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Possible Solutions

Digital Tools

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Resources

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TEKS

Supporting Standard 8.8 Expressions, equations, and relationships. The student applies mathematical process standards to use one-variable equations or inequalities in problem situations. The student is expected to:

(B) write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants

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