Algebra Test: 20 Practice Questions with Answers
Quick algebra practice test with instant results and explanations.
Editorial: Review CompletedUpdated Aug 25, 2025
This algebra test helps you check Grade 8 skills across expressions, equations, and functions. Answer 20 questions, get instant results, and review brief explanations to fix mistakes. For more practice, try 10 algebra questions and answers, build line skills with a slope quiz, or prep for bigger checks with an algebra 1 practice test.
Study Outcomes
- Understand how to simplify algebraic expressions and combine like terms.
- Solve linear equations and inequalities using appropriate methods.
- Apply the properties of operations to manipulate and transform expressions.
- Analyze word problems to formulate and solve algebraic equations.
- Evaluate algebraic functions and interpret their components in context.
Algebra Quiz: Practice & Review Cheat Sheet
- Real Number Properties - Tap into the magic of commutative, associative, distributive, identity, and inverse properties to simplify expressions and solve equations with ease. Mastering these rules is like having a secret decoder ring for algebraic puzzles!
- Order of Operations (PEMDAS) - Harness the power of parentheses, exponents, multiplication/division, and addition/subtraction to conquer even the trickiest expressions. Think of it as following a recipe for perfect math results every time!
- Exponent Rules - Learn the product, quotient, power, zero, and negative exponent rules to tame expressions with powers like a seasoned algebra wizard. These shortcuts will save you time and brainpower on tests!
- Polynomial Operations - Practice adding, subtracting, multiplying, and dividing polynomials, and spot special products like the difference of squares or perfect square trinomials. Polynomials are like LEGO blocks - once you know how to snap them together, you can build anything!
- Factoring Techniques - Sharpen your skills in factoring out the greatest common factor, breaking down trinomials, and recognizing patterns like sum/difference of cubes. Factoring is your secret weapon for dismantling complex expressions!
- Solving Linear Equations & Inequalities - Apply properties of equality and inequality to crack linear equations and graph your solutions like a pro. Visualizing the answer on a number line or coordinate plane makes everything click!
- Systems of Linear Equations - Master graphing, substitution, and elimination methods to find where two lines meet (or don't!). Think of it as solving a mystery by collecting clues from each equation.
- Functions, Domain & Range - Decode what functions do, identify their domain and range, and practice plotting different types to reveal their behavior. Functions are like machines: feed them inputs, get outputs, and draw the picture!
- Quadratic Equations - Tackle quadratics with factoring, completing the square, and the quadratic formula, and learn how the discriminant reveals the nature of your solutions. Quadratics are parabolas dancing on your graph - join the dance!
- Exponential & Logarithmic Functions - Dive into growth and decay with exponentials, then flip them into logarithms to solve equations. These inverse buddies help you model everything from bacterial growth to pH levels!