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Quizzes > Mathematics

8th Grade Math Quiz: Check Your Algebra Skills

Quick, free grade 8 math test for algebra. Instant results.

Editorial: Review CompletedCreated By: Indey WhighamUpdated Aug 24, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art 8th grade math quiz scene with algebra fractions geometry symbols ruler pencil on sky blue background

This 8th grade math quiz helps you build algebra skills, from solving equations to reading graphs and tackling word problems. Get instant results and pinpoint topics to review; warm up with our basic math quiz, step up from 7th grade math questions, or bridge gaps with a grade 6 math quiz.

What is the sum of 7 and 8?
14
15
16
13
Adding two whole numbers is straightforward: 7 + 8 equals 15. Basic addition skills are essential in algebra and arithmetic. Regular practice can improve speed and accuracy. See more at .
What is the result of 12 minus 5?
9
7
8
6
Subtraction finds the difference between two numbers. Subtracting 5 from 12 gives 7. This operation is foundational to algebraic manipulations. Learn more at .
What is 3 multiplied by 4?
10
11
12
7
Multiplication is repeated addition: 3 groups of 4 equals 12. Mastering multiplication tables is crucial for higher-level math. Consistent practice leads to fluency. For more, visit .
What is 16 divided by 2?
10
6
8
9
Division is splitting into equal parts: 16 ÷ 2 equals 8. Understanding divisibility is important for fractions and ratios. Practice with whole numbers before moving to decimals. More details at .
Simplify the fraction 4/8.
1/2
3/4
1/4
2/4
To simplify 4/8, divide numerator and denominator by their greatest common divisor, 4. 4 ÷ 4 = 1 and 8 ÷ 4 = 2, so the fraction becomes 1/2. Simplifying fractions helps in algebraic operations. Read more at .
Which of the following numbers is prime?
15
13
21
9
A prime number has exactly two distinct positive divisors: 1 and itself. 13 is only divisible by 1 and 13, making it prime. The other options have additional factors. Learn more about prime numbers at .
Solve for x: x + 5 = 12.
8
5
7
6
To isolate x, subtract 5 from both sides: x = 12 - 5 = 7. Understanding inverse operations is key in algebra. This foundational skill appears in more complex equations. For practice, see .
What is the perimeter of a square with side length 4 units?
12
8
16
20
The perimeter of a square is 4 times its side length: 4 × 4 = 16. Perimeter calculations are fundamental in geometry. Master these before moving to area and volume. More information at .
What is 3/4 plus 1/4?
1/2
1
3/4
1 1/4
When adding like fractions, add the numerators and keep the denominator: 3/4 + 1/4 = 4/4 = 1. Fraction addition builds toward algebraic expressions. Practice at .
Evaluate 5x when x = 3.
12
8
10
15
Substitute x = 3 into 5x: 5 × 3 = 15. Variable substitution is a key step in solving equations. Review the concept at .
What is the area of a rectangle with width 5 units and length 7 units?
30
25
12
35
Area of a rectangle is length × width: 7 × 5 = 35 square units. Understanding area is vital for geometry and real-world applications. More on area at .
Solve for x: 2x - 3 = 7.
10
7
4
5
Add 3 to both sides to get 2x = 10, then divide by 2: x = 5. Mastering two-step equations is crucial for algebra. Practice at .
What is the product of 2/3 and 3/4?
3/4
2/3
1/2
3/2
Multiply numerators and denominators: (2 × 3) / (3 × 4) = 6/12 = 1/2. Fraction multiplication is a foundation for algebraic fractions. Learn more at .
Solve for y: 3y + 2 = 11.
2
3
5
4
Subtract 2 from both sides to get 3y = 9, then divide by 3: y = 3. Two-step equations prepare students for linear functions. More practice at .
Convert 50% to a fraction.
1/2
1/5
1/3
2/3
Percent means per hundred, so 50% = 50/100, which simplifies to 1/2. Understanding percent-to-fraction conversion helps in data interpretation. Read more at .
What is the mean (average) of the numbers 2, 4, 6, and 8?
7
4
6
5
The mean is the sum divided by the count: (2+4+6+8)/4 = 20/4 = 5. Averages are key in statistics and data analysis. Learn more at .
Solve for x: x/4 + 3 = 7.
20
16
14
12
Subtract 3 from both sides to get x/4 = 4, then multiply by 4: x = 16. Understanding rational equations is vital for algebra II topics. More at .
What is the area of a triangle with base 10 units and height 6 units?
60
30
16
36
Area of a triangle is 1/2 × base × height: 1/2 × 10 × 6 = 30. Triangles are fundamental in geometry and trigonometry. Practice at .
Simplify the expression 2x * 3x.
5x^2
5x
6x^2
6x
Multiply coefficients (2×3=6) and variables x·x = x^2, giving 6x^2. Combining like terms is a key algebra skill. Review at .
Compute 5/6 minus 1/2.
2/3
1/2
1/6
1/3
Convert 1/2 to 3/6 and subtract: 5/6 - 3/6 = 2/6 = 1/3. Subtracting fractions with unlike denominators requires a common denominator. More practice at .
Solve for x: 4(x - 2) = 16.
8
4
6
2
Divide both sides by 4: x - 2 = 4, then add 2: x = 6. Distributive property and inverse operations are fundamental in algebra. Review at .
Simplify 2/5 ÷ 4/15.
2/3
5/2
3/2
1
Division by a fraction is multiplying by its reciprocal: 2/5 × 15/4 = 30/20 = 3/2. Fraction division is essential for advanced math topics. Learn more at .
What is the volume of a rectangular prism with length 4, width 3, and height 5 units?
60
24
12
45
Volume = length × width × height = 4 × 3 × 5 = 60 cubic units. Volume calculations are crucial in geometry and real-world applications. More at .
In the system of equations x + y = 10 and x - y = 2, what is the value of y?
3
5
4
6
Add the two equations to eliminate y: 2x = 12, so x = 6. Substitute x = 6 into x + y = 10 to get y = 4. Solving systems builds toward linear algebra. More at .
Solve for x: 2(x + 3) = x + 12.
9
4
6
3
Distribute: 2x + 6 = x + 12, subtract x: x + 6 = 12, then subtract 6: x = 6. This two-step equation illustrates combining like terms and inverse operations. See more at .
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Study Outcomes

  1. Understand Algebraic Expressions -

    Learn to interpret and simplify variables, coefficients, and constants to confidently tackle algebra questions in your 8th grade math test.

  2. Solve Linear Equations -

    Apply step-by-step methods to find solutions to one- and two-step equations, improving accuracy on math questions 8th grade students encounter.

  3. Apply Geometric Formulas -

    Use area, perimeter, and volume formulas to solve geometry problems, strengthening your skills for geometry sections of the quiz.

  4. Analyze Fraction Problems -

    Compare, add, subtract, multiply, and divide fractions to master fraction challenges and boost performance on eighth grade math questions.

  5. Evaluate Problem-Solving Strategies -

    Identify the most efficient approach to each question, enhancing your speed and confidence when taking an 8th grade math test.

  6. Identify Areas for Improvement -

    Pinpoint strengths and weaknesses through quiz feedback, so you know which topics to review before your next math exam.

Cheat Sheet

  1. Linear Equations and Slope-Intercept Form -

    Master y=mx+b by identifying slope (m) and y-intercept (b) in practice problems from reputable sources like Khan Academy and Common Core standards. Use the slope formula m = (y₂−y₝)/(x₂−x₝) with sample points (2,3) and (5,9) to build confidence for your 8th grade math test. Practicing graphing lines for math quizzes for 8th graders will help you spot intercepts at a glance.

  2. Pythagorean Theorem and Right Triangles -

    Recall a² + b² = c² to find missing sides in right triangles - use the classic 3-4-5 triple as a quick check. Apply this formula to real-world eighth grade math questions, like finding the height of a ladder leaning against a wall. Building a strong recall for pythagorean triples from NCTM resources will boost your problem-solving speed.

  3. Volume and Surface Area of 3D Figures -

    Learn V=l·w·h for rectangular prisms and V=πr²h for cylinders, as outlined in university math labs and Ed.gov guidelines. For a prism measuring 3×4×5, you'll quickly get V=60 cubic units - perfect for math questions 8th grade students face. Don't forget surface area formulas (2lw+2lh+2wh) to cover all 8th grade questions math might throw at you.

  4. Fraction Operations and Key Mnemonics -

    Get comfortable adding/subtracting by finding a common denominator (LCM) and multiply/divide using "Keep-Change-Flip" for division, a trick endorsed by educational publishers. For instance, 3/4 ÷ 2/5 becomes 3/4×5/2=15/8 - practice samples from reputable journals to refine your skills. Mastering these steps will make fraction challenges on your 8th grade math test feel like second nature.

  5. Proportional Relationships and Percentages -

    Understand direct proportion a/b=c/d with cross-multiplication so you can solve ratio problems quickly, just like those in popular standardized practice sets. Use part/whole=percent/100 to nail percentage questions (e.g., 20% of 50=0.2×50=10). Solidifying this concept from sources like the American Mathematical Society will ensure you breeze through math quizzes for 8th graders.

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