T.i.P.S.

Students should be able to write a realworld problem when given an equation or inequality. Equations should contain only onevariable 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 onevariable which will appear on both sides of the inequality. Students should understand combining like terms and the distributive property to write onevariable 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?
Hint
Possible Solutions
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Resources

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TEKS

8.8 Expressions, equations, and relationships. The student applies mathematical process standards to use onevariable equations or inequalities in problem situations. The student is expected to:
(B) write a corresponding realworld problem when given a onevariable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants