Solving Equations in One Variable Quiz

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3 Questions

What is the solution to the equation $3x - 7 = 8$?

$x = 5$

What is the solution to the equation $2(4x + 5) = 18$?

$x = 2$

What is the solution to the equation $5x + 3 = 2x - 4$?

$x = -7$

Study Notes

Solving Linear Equations

  • To solve the equation $3x - 7 = 8$, add 7 to both sides, resulting in $3x = 15$, and then divide both sides by 3, giving $x = 5$.
  • The equation $2(4x + 5) = 18$ can be solved by first distributing the 2, resulting in $8x + 10 = 18$, then subtracting 10 from both sides, giving $8x = 8$, and finally dividing both sides by 8, yielding $x = 1$.
  • The solution to the equation $5x + 3 = 2x - 4$ can be found by subtracting 2x from both sides, resulting in $3x + 3 = -4$, then subtracting 3 from both sides, giving $3x = -7$, and finally dividing both sides by 3, yielding $x = -\frac{7}{3}$.

Test your skills in solving equations in one variable with this multiple choice quiz. Covering one-step, two-step, and multi-step equations, this quiz will challenge your understanding of solving equations with various levels of complexity.

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