This grade 8 linear equations quiz asks 10 multiple-choice questions on solving linear equations, and each answer comes with a short explanation.
Answer these ten multiple-choice questions on solving linear equations. Some questions use a picture and some ask how many solutions an equation has. Choose the single best answer, then read the explanation to learn from any mistakes.
The scale is balanced. What is the value of \(x\)?
Solve \(6x-4=2x+12\).
Solve \(3(x-4)=2x+5\).
The tape diagram shows an equation. What is \(x\)?
How many solutions does \(4(x+3)=4x+9\) have?
How many solutions does \(2(3x-1)+4=6x+2\) have?
The perimeter of this rectangle is 40 feet. What is \(x\)?
Solve \(\frac{1}{2}x+3=\frac{1}{4}x+7\).
Ravi's work is shown. Which step contains his first error?
Solve \(0.5x+2.5=0.2x+4.3\).
🎉 Quiz complete!
How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
- Standards 8.EE.C.7a and 8.EE.C.7b: solve linear equations with rational coefficients, and decide how many solutions an equation has.
- Use the distributive property, \(a(b+c)=ab+ac\), and combine like terms before moving terms across.
- Do the same operation to both sides to keep the equation balanced.
- A false result like \(3=7\) means no solution; a true result like \(6=6\) means infinitely many solutions.
- Always check by substituting the solution into the original equation.
How to use this grade 8 linear equations quiz
Retake this grade 8 linear equations quiz until every answer is right, then move on to the worksheet and the test.
See every chapter on the Grade 8 math page.