Modeling & Solving One-Variable Equations

T.i.P.S.

Students must be able to model and solve equations that 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. Students must also model and solve 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. Coefficients and constants should be rational numbers.

Example

What value of x makes this equation true?  

Hint
Possible Solution

TEKS

Readiness 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:

(C) model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants

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