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 > Mathematics > Algebra

Master Linear Equations: Take the Quiz Now!

Ready to tackle 18x 5/9 and other linear equations? Dive in!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration with numbers symbols equations on golden yellow background promoting free linear equation quiz

Embark on the ultimate linear equation quiz adventure! Whether you're tackling 18x 5/9 for the first time or looking for a challenging algebra linear expressions quiz, this free interactive challenge is your gateway to mastering variable-based problems. In our linear equation quiz, you'll solve basic linear equations, boost your confidence with a dynamic linear equation practice test, and unlock new strategies for balancing both sides of an equation. Ideal for students prepping for exams or self-learners craving an engaging review, this session offers instant feedback and real-world scenarios. Ready to see how far you can go? Dive into our linear equations quiz or sharpen your skills with targeted linear equation practice problems today!

Solve 2x = 6.
2
6
3
4
Isolate x by dividing both sides of the equation by 2, which gives x = 6/2 = 3. Performing identical operations on both sides keeps the equation balanced. Always check your result by substituting back into the original equation. For a more detailed walkthrough, see Linear Equations Tutorial.
Solve x + 7 = 10.
17
2
3
-3
Subtract 7 from both sides to isolate x: x = 10 - 7 = 3. This fundamental step of 'undoing' addition is key in linear equations. Always verify by substituting the solution back into the original equation. More examples can be found at Linear Equations Tutorial.
Solve 5x - 5 = 0.
0
-1
1
5
Add 5 to both sides giving 5x = 5, then divide both sides by 5 to find x = 1. Each step maintains the balance of the equation by applying inverse operations. Checking x = 1 confirms it satisfies the original equation. Learn more at Linear Equations Tutorial.
Solve 18x = 5/9.
5/162
2/3
1/162
5/18
Divide both sides by 18: x = (5/9) ÷ 18 = 5/(9×18) = 5/162. Remember to multiply the denominator when dividing by a whole number. Always simplify fractions when possible. For more details, visit Linear Equations Tutorial.
Solve (1/2)x - 3 = 1.
8
2
1
-4
First add 3 to both sides: (1/2)x = 4. Then multiply both sides by 2 to isolate x: x = 8. This uses inverse operations for addition and multiplication. A step-by-step guide is available at Linear Equations Tutorial.
Solve 0.2x + 0.6 = 1.
-2
2
0.2
1
Subtract 0.6 from both sides to get 0.2x = 0.4, then divide both sides by 0.2 to find x = 2. Carrying decimal coefficients follows the same rules as whole numbers. Always keep track of decimal places. More help can be found at Linear Equations Tutorial.
Solve 4x + 2 = 3x + 5.
3
2
-3
5
Subtract 3x from both sides: x + 2 = 5, then subtract 2 to get x = 3. This combines like terms and isolates the variable. Always balance operations on both sides. For an in-depth explanation, see Linear Equations Tutorial.
Solve x/3 + 2 = 5.
3
15
7
9
Subtract 2 from both sides: x/3 = 3, then multiply both sides by 3 to find x = 9. This process shows how to undo addition and division. Checking the solution in the original equation confirms it's correct. Additional examples are at Linear Equations Tutorial.
Solve 3(x - 2) = 2x + 4.
4
-10
10
6
First expand: 3x - 6 = 2x + 4. Subtract 2x from both sides: x - 6 = 4. Then add 6 to get x = 10. Distributive property and inverse operations are key. More practice is at Linear Equations Tutorial.
Solve -2(3x + 4) = x - 8.
-1
1
8/7
0
Distribute: -6x - 8 = x - 8. Add 6x to both sides: -8 = 7x - 8. Then add 8: 0 = 7x, so x = 0. Handling negatives carefully is essential. For further reading, visit Linear Equations Tutorial.
Solve (6x + 9) / 3 = 7.
2
3
-2
4/3
Multiply both sides by 3: 6x + 9 = 21. Subtract 9: 6x = 12, then divide by 6: x = 2. Clearing denominators simplifies solving. See more methods at Linear Equations Tutorial.
Solve (2x + 1)/4 - (x - 1)/2 = 3.
No solution
x = 5.5
x = -3
Infinitely many solutions
Multiply each term by 4: (2x + 1) - 2(x - 1) = 12 ? 2x + 1 - 2x + 2 = 12 ? 3 = 12. This is a false statement, so no solution exists. Recognizing contradictions indicates no solution. Learn more at Linear Equations Tutorial.
Solve 2x + 3/4 = x/2 - 1/4.
-2/3
-4/3
2/3
4/3
Multiply both sides by 4 to clear fractions: 8x + 3 = 2x - 1. Subtract 2x and add 1: 6x = -4, so x = -4/6 = -2/3. Clearing denominators simplifies complex fractional equations. For advanced tips, visit Linear Equations Tutorial.
0
{"name":"Solve 2x = 6.", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"Solve 2x = 6., Solve x + 7 = 10., Solve 5x - 5 = 0.","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Solve Introductory Linear Equations -

    Apply step-by-step methods to find the value of x in equations like 18x + 5/9 and other basic linear equation quiz problems.

  2. Simplify Algebraic Expressions -

    Use properties of operations to condense expressions before solving, ensuring accuracy and efficiency in each step.

  3. Balance Both Sides of an Equation -

    Master the principle of keeping equations equivalent by performing identical operations on both sides.

  4. Apply Systematic Problem-Solving Strategies -

    Implement strategies such as isolating variables and clearing fractions to tackle solve basic linear equations with confidence.

  5. Interpret and Translate Word Problems -

    Convert real-world scenarios into linear equations to practice algebra linear expressions quiz skills effectively.

  6. Evaluate and Boost Algebra Confidence -

    Self-assess your performance in this linear equation practice test to identify areas for improvement and track your progress.

Cheat Sheet

  1. Understand the Structure of Linear Equations -

    Linear equations typically follow the form ax + b = c or ax = c, where a, b, and c are constants. Recognizing this layout helps you pinpoint which terms to move first when solving equations like 18x = 5/9 (Purplemath).

  2. Apply Inverse Operations in Order -

    To isolate x, undo addition or subtraction before multiplication or division, ensuring you perform the same operation on both sides. For instance, if you have 18x + 5/9 = 7, subtract 5/9 from both sides first (Khan Academy).

  3. Handle Fractional Coefficients with Confidence -

    When your equation has fractions, multiply both sides by the least common denominator (LCD) to clear them or use "keep-change-flip" to divide by a fraction. For 18x = 5/9, you'd multiply both sides by 9/5 to get x = (5/9)·(1/18)❻¹ (MathIsFun).

  4. Check Your Solution by Substitution -

    After finding x, substitute it back into the original equation to verify both sides balance. This simple check catches sign slips or calculation errors before you finalize your answer (MIT OpenCourseWare).

  5. Avoid Common Pitfalls with Mnemonics -

    Watch out for negative signs and fraction flips, which are frequent stumbling blocks. The mnemonic "Keep-Change-Flip" reminds you to keep the first fraction, change division to multiplication, and flip the second fraction (University of Cambridge).

Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Algebra Quizzes

Powered by: Quiz Maker