Skip to main content
\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)
Mathematics LibreTexts

2.2E: Linear Equations in One Variable (Exercises)

  • Page ID
    56063
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)

    For the following exercises, solve for \(x\).

    12. \(5 x+2=7 x-8\)
    13. \(3(x+2)-10=x+4\)
    14. \(7 x-3=5\)
    15. \(12-5(x+1)=2 x-5\)
    16. \(\frac{2 x}{3}-\frac{3}{4}=\frac{x}{6}+\frac{21}{4}\)

    For the following exercises, solve for \(x .\) State all \(x\) -values that are excluded from the solution set.

    17. \(\frac{x}{x^{2}-9}+\frac{4}{x+3}=\frac{3}{x^{2}-9} x \neq 3,-3\)
    18. \(\frac{1}{2}+\frac{2}{x}=\frac{3}{4}\)

    For the following exercises, find the equation of the line using the point-slope formula.

    19. Passes through these two points: (-2,1),(4,2) .
    20. Passes through the point (-3,4) and has a slope of \(-\frac{1}{3}\).
    21. Passes through the point (-3,4) and is parallel to the graph \(y=\frac{2}{3} x+5\)
    22. Passes through these two points: (5,1),(5,7) .


    2.2E: Linear Equations in One Variable (Exercises) is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

    • Was this article helpful?