Ace Your Intermediate Algebra Practice Test
Test Your Skills With Detailed Algebra Problems
Editorial: Review CompletedUpdated Aug 25, 2025
This intermediate algebra practice test helps you check Grade 9 skills in 20 quick questions. Use it to spot gaps before an exam and build confidence - your results include simple feedback and links to learn more so you know what to practice next.
Study Outcomes
- Apply algebraic properties to simplify expressions and solve linear equations.
- Analyze algebraic problems and determine appropriate strategies for solution.
- Evaluate systems of equations using substitution and elimination methods.
- Demonstrate proficiency in factoring polynomials and simplifying algebraic expressions.
- Assess problem-solving skills to confidently approach exam-style questions.
Intermediate Algebra Practice Test Cheat Sheet
- Linear Equations & Inequalities - Dive into solving one‑variable equations and inequalities, even when letters sneak in as mysterious coefficients. Picture each equation as a balance scale waiting for you to tip it just right! Mastering this unlocks the door to more advanced algebra puzzles.
- Remainder Theorem - Discover how plugging a number into a polynomial instantly gives you the remainder when dividing by (x − a). This shortcut transforms long division into a quick mental calculation! It's your secret weapon for factoring and checking roots fast.
- Quadratic Equations - Explore multiple ways to crack quadratics: factoring, completing the square, and the trusty quadratic formula. Learn to spot when solutions go beyond the real world into a ± bi territory. By the end, you'll handle every parabola like a pro!
- Polynomial Arithmetic - Get hands‑on with adding, subtracting, and multiplying polynomials - think of them as algebraic recipes where like terms blend perfectly. Understanding closure under these operations means you won't get lost mixing terms. It's math magic at its finest.
- Systems of Linear Equations - Crack the code of two or more equations working together by graphing, substitution, or elimination methods. It's like solving a detective mystery where each variable leaves clues on the grid. Soon you'll juggle multiple equations without breaking a sweat!
- Expression Structure - Break expressions into terms, factors, and coefficients as if you're dissecting a math puzzle. Understanding this anatomy helps you simplify and rewrite expressions in a flash. Think of it as getting to know the LEGO pieces before building your algebra tower.
- Zeros & Factors of Polynomials - Link the roots of a polynomial to its factors and use this to sketch rough graphs. Hitting each zero tells you where the curve crosses the x‑axis - vital for visualizing behavior. With practice, you'll predict shapes like a graphing wizard!
- Modeling with Equations & Inequalities - Turn real‑world scenarios into one‑variable equations or inequalities, whether linear or quadratic. From budget planning to physics problems, you'll learn to wield algebra like a language of the universe. It's math that makes sense outside the classroom!
- Binomial Theorem - Master the art of expanding (x + y)n using Pascal's Triangle or combinatorial coefficients. This theorem turns massive expansions into a patterned breeze. Perfect for tackling advanced problems in algebra and beyond!
- Rational Expression Rewrite - Practice expressing a(x)/b(x) as q(x) + r(x)/b(x) by performing polynomial long division. This skill demystifies complex fractions and makes solving rational equations far more approachable. Soon, you'll simplify like a champ!
