Questions on Solving Linear Equations

Multiple-choice questions with answers on solving linear equations are presented below. If needed, review the Solving Linear Equations Tutorial before attempting the problems.

Multiple Choice Questions

Select the correct answer for each question.

Question 1

Solve the equation:

\[-2x + 6 = 4x - 2\]

• a: no solutions
• b: 0
• c: 3
• d: \( \tfrac{1}{2} \)
• e: \( \tfrac{4}{3} \)

Question 2

Solve the equation:

\[-(-x - 5) = x - 2\]

• a: no solutions
• b: -5
• c: 3
• d: \( \tfrac{1}{2} \)
• e: \( \tfrac{4}{3} \)

Question 3

What is the solution to the equation:

\[-(-x - 5) + 5(x - 9) = 2(x + 8) - (2x + 5)\]

• a: 5
• b: no solutions
• c: \( \tfrac{17}{2} \)
• d: \( \tfrac{15}{2} \)
• e: -8

Question 4

Solve the equation:

\[-\dfrac{3x - 1}{3} - \dfrac{2(x - 8)}{5} = \dfrac{x + 8}{5} - 3\]

• a: -10
• b: 15
• c: \( \tfrac{17}{2} \)
• d: \( \tfrac{37}{12} \)
• e: no solutions

Question 5

What is the solution to the equation:

\[\dfrac{2}{7} - \dfrac{x + 8}{4} = \dfrac{3(x - 3)}{5} - \dfrac{3}{2}\]

• a: no solutions
• b: 0
• c: \( \tfrac{17}{111} \)
• d: \( \tfrac{37}{119} \)
• e: \( \tfrac{222}{119} \)

Answers

• Question 1: e
• Question 2: a
• Question 3: c
• Question 4: d
• Question 5: e

More References and Links

Learn how to solve equations, systems of equations, and inequalities.