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If you are looking for some problems with solutions you can find some by clicking on the "Practice Problems" link above.
If you are looking for some problems with solutions you can find some by clicking on the "Practice Problems" link above.
Section 2.2 : Linear Equations
Solve each of the following equations and check your answer.
- \(13 + 2\left( {1 - u} \right) = 8u - 5\left( {u + 7} \right)\)
- \(8\left( {2 + 3z} \right) + 1 = z - 10\left( {z + 1} \right)\)
- \(8 - \left( {4 - 12t} \right) + 2 = 3t + 2\left( {7 - 3t} \right)\)
- \(2x\left( {6x - 1} \right) + 21 = 8x - x\left( {3 - 12x} \right)\)
- \(\displaystyle \frac{{3w - 1}}{5} + 1 = \frac{{7w + 2}}{{15}}\)
- \(\displaystyle \frac{{10y}}{9} + \frac{1}{3} = \frac{{2y - 1}}{9}\)
- \(2\left( {3 - \frac{x}{4}} \right) = \frac{{2x + 5}}{3} - \frac{1}{3}\)
- \(\displaystyle \frac{{6x + 24}}{{x + 4}} = 5\)
- \(\displaystyle \frac{3}{{v + 7}} - \frac{{2 - 7v}}{{{v^2} + 5v - 14}} = \frac{4}{{v - 2}}\)
- \(\displaystyle \frac{{6t - 1}}{{{t^2} + 5t + 4}} = - \frac{{19}}{{t + 1}}\)
- \(\displaystyle \frac{{8 - 4z}}{{3z - 2}} = 2 - \frac{{10z}}{{3z - 2}}\)
- \(\displaystyle \frac{{4w - 1}}{{w - 2}} + \frac{{8w}}{{{w^2} - 6w + 8}} = \frac{{4w + 3}}{{w - 4}}\)