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Practice Problems
After you have watched the videos with examples of different types of multi-step inequalities, complete this assessment and check your answers. Here are some problems for you to practice to make sure you have mastered this skill of solving inequalities. There are videos and hints if you need help working through these problems.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
- Solve for \(v\).
\(-42v+33 < 8v + 91\)
- Solve for \(q\).
\(50q+43 > -11q + 70\)
- Solve for \(y\).
\(-65y+19 < -2y + 41\)
- Solve for \(t\).
\(-48t+2 \leq -71t + 14\)
Source: Khan Academy, https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:multistep-inequalities/e/linear_inequalities This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.