Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > High School Quizzes > Mathematics

Grade 8 Multi-Step Equations Practice Quiz

Practice exam with worksheets and PDF downloads

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Paper art depicting a trivia quiz on multi-step equation challenge for high school algebra learners.

Solve 3x = 12. What is the value of x?
3
0
12
4
Dividing both sides of the equation by 3 gives x = 12/3, which simplifies to 4. The other answers do not satisfy the equation when substituted.
Solve x + 5 = 10. What is the value of x?
0
5
10
15
Subtracting 5 from both sides of the equation yields x = 5. This is the only value that makes the equation true.
Solve 2x - 4 = 6. What is the value of x?
6
4
2
5
Adding 4 to both sides results in 2x = 10, and dividing by 2 yields x = 5. The other options do not satisfy the equation.
Solve 4x = 20. What is the value of x?
2
8
4
5
Dividing both sides of the equation by 4 gives x = 20/4, which simplifies to 5. This is the unique solution that satisfies the equation.
Solve x/3 = 4. What is the value of x?
4
1/4
3
12
Multiplying both sides of the equation by 3 gives x = 12. This is the only solution that correctly satisfies the equation.
Solve 2x + 3 = 11. What is x?
5
4
3
6
Subtracting 3 from both sides yields 2x = 8, and dividing by 2 gives x = 4. This is the only answer that satisfies the equation.
Solve 5(x - 1) = 20. What is x?
20
4
1
5
Dividing both sides by 5 gives x - 1 = 4, and adding 1 results in x = 5. The other options do not satisfy the equation.
What is the solution for x in the equation 3x - 7 = 2x + 3?
-10
0
10
7
Subtracting 2x from both sides results in x - 7 = 3, and adding 7 gives x = 10. This is the unique solution that balances the equation.
Solve for x: 4(x + 2) = 3x + 14.
8
9
6
7
Expanding the left side gives 4x + 8, and setting it equal to 3x + 14 leads to x = 6 after simplification. The other answers are incorrect when substituted back into the equation.
If 2(x + 4) = x + 10, what is the value of x?
-2
8
10
2
Expanding gives 2x + 8 = x + 10; subtracting x from both sides results in x + 8 = 10, hence x = 2. This is the only solution that satisfies the equation.
Solve 3(x - 2) + 4 = 19. What is x?
7
8
6
5
Distributing and combining like terms gives 3x - 2 = 19, so adding 2 to both sides and dividing by 3 yields x = 7. This is the only correct solution.
Solve for x: 6x/3 - 2 = 4.
2
3
4
6
Simplifying 6x/3 yields 2x, so the equation becomes 2x - 2 = 4. Adding 2 to both sides and dividing by 2 gives x = 3, which is the only solution.
Determine x from: 2(x + 3) = 16.
5
6
7
8
Expanding the equation gives 2x + 6 = 16; subtracting 6 and dividing by 2 results in x = 5. This is the only answer that properly satisfies the equation.
Solve the equation: 7 - 2x = 1. What is x?
6
-6
-3
3
Subtracting 7 from both sides results in -2x = -6, and dividing by -2 gives x = 3. This is the correct value that satisfies the equation.
Solve for x: 3(x + 1) - 2(x - 2) = 7. What is x?
7
-7
0
1
Expanding gives x + 7 = 7, which simplifies to x = 0 when subtracting 7 from both sides. The other options do not satisfy the given equation.
Solve 2(3x - 4) - 5(x + 2) = 3. What is x?
18
21
-21
10
First, distribute the numbers to get 6x - 8 - 5x - 10, which simplifies to x - 18. Setting the expression equal to 3 and solving gives x = 21, the only correct solution.
Solve for x: 4x + 7 = 2(3x - 1) + 5.
0
1
2
4
Expanding the right side gives 6x - 2 + 5, which simplifies to 6x + 3. Rearranging the equation to combine like terms results in x = 2, the only solution that satisfies the equation.
Find x if 3(x - 2) + 4(x + 1) = 5x + 6.
8
4
2
6
After expanding and combining like terms, the equation simplifies to 7x - 2 = 5x + 6. Solving for x by subtracting 5x and isolating x leads to x = 4, which is the correct answer.
Solve the equation: 0.5(4x - 8) + 3 = 2x + 1. What is x?
x = 0
No solution
x = 1
x = 2
Multiplying out 0.5(4x - 8) gives 2x - 4, and after adding 3 the left side becomes 2x - 1. Setting this equal to 2x + 1 leads to a contradiction, indicating that no solution exists. Thus, the equation has no valid value for x.
Solve for x: (2x - 3)/4 + (x + 1)/2 = 1. What is x?
2
3/2
5/4
1
Multiplying the entire equation by 4 eliminates the denominators, resulting in (2x - 3) + 2(x + 1) = 4. Simplifying this expression gives 4x - 1 = 4, so x = 5/4, which is the only solution.
0
{"name":"Solve 3x = 12. What is the value of x?", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"Solve 3x = 12. What is the value of x?, Solve x + 5 = 10. What is the value of x?, Solve 2x - 4 = 6. What is the value of x?","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Analyze multi-step equations and break them into manageable components.
  2. Apply algebraic operations to isolate variables and solve for unknowns.
  3. Evaluate the accuracy of solutions using back-substitution methods.
  4. Identify common pitfalls in solving multi-step problems and implement corrective strategies.
  5. Demonstrate increased confidence in applying methods to more complex algebraic equations.

Grade 8 Multi-Step Equations Worksheet PDF Cheat Sheet

  1. Master Multi-Step Equations - Multi-step equations need more than one operation to isolate the variable. You might combine like terms, distribute factors, and move variables across sides before solving. GeeksforGeeks Worksheet
  2. PEMDAS Power - The order of operations (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) keeps your calculations on track. Following PEMDAS ensures you simplify both sides correctly and avoid hasty mistakes. SplashLearn PEMDAS Guide
  3. Distributive Property Delight - Distribute to eliminate parentheses: a(b + c) = ab + ac. This strategy simplifies equations, turns complex expressions into manageable chunks, and sets you up for easier solving. Cuemath Distributive Guide
  4. Combine Like Terms - Group together terms with the same variable: in 3x + 2x - 5 = 10, merge 3x and 2x to get 5x - 5 = 10. Simplifying early keeps your equation neat and prevents confusion later. Story of Math Examples
  5. Isolate the Variable - Use addition/subtraction first, then multiplication/division to solve for x. Always perform the same operation on both sides to keep the equation balanced. ChiliMath Practice
  6. Spot Special Cases - Sometimes equations have no solution (like 0 = 5) or infinite solutions (like 0 = 0). Recognizing these scenarios helps you avoid wasted effort and understand why some equations behave strangely. GeeksforGeeks Insights
  7. Check Your Work - Plug your answer back into the original equation to see if both sides match. This quick check catches errors and builds confidence in your solution. SplashLearn Checkpoint
  8. Variables on Both Sides - When x shows up on both sides, start by subtracting or adding to get all x‑terms on one side. Then simplify and solve like usual. Practice with examples like 2x + 3 = x + 7 to master this twist. Story of Math Tutorial
  9. Translate Word Problems - Convert sentences into equations by identifying key phrases (e.g., "sum," "product," "twice"). Correct setup is half the battle - once your equation is right, the math flows smoothly. Cuemath Word Problems
  10. Practice Makes Perfect - Use worksheets and timed drills to reinforce your skills. The more you solve, the more patterns you'll spot and the faster you'll get. Education.com Worksheets
Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Mathematics Quizzes

Powered by: Quiz Maker