Mathematics

8th Grade Math Quiz: Check Your Algebra Skills

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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.

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1What is the sum of 7 and 8?
2What is the result of 12 minus 5?
3What is 3 multiplied by 4?
4What is 16 divided by 2?
5Simplify the fraction 4/8.
6Which of the following numbers is prime?
7Solve for x: x + 5 = 12.
8What is the perimeter of a square with side length 4 units?
9What is 3/4 plus 1/4?
10Evaluate 5x when x = 3.
11What is the area of a rectangle with width 5 units and length 7 units?
12Solve for x: 2x - 3 = 7.
13What is the product of 2/3 and 3/4?
14Solve for y: 3y + 2 = 11.
15Convert 50% to a fraction.
16What is the mean (average) of the numbers 2, 4, 6, and 8?
17Solve for x: x/4 + 3 = 7.
18What is the area of a triangle with base 10 units and height 6 units?
19Simplify the expression 2x * 3x.
20Compute 5/6 minus 1/2.
21Solve for x: 4(x - 2) = 16.
22Simplify 2/5 ÷ 4/15.
23What is the volume of a rectangular prism with length 4, width 3, and height 5 units?
24In the system of equations x + y = 10 and x - y = 2, what is the value of y?
25Solve for x: 2(x + 3) = x + 12.
Learning Goals

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.

Study Guide

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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Michael HodgeEdTech Product Lead & Assessment Design SpecialistQuiz Maker
Updated Feb 19, 2026