Algebra Worksheets | Fractions, Factoring, Indices, Inequalities & Systems

Master essential algebra concepts with this comprehensive 5-worksheet practice bundle! Covers algebraic expressions, factoring quadratics, laws of indices, linear inequalities, and systems of equations—complete with step-by-step worked answer keys.

Help your students build problem-solving confidence with this targeted 5-worksheet collection. Designed for progressive skill development, this pack spans core topics from simplifying algebraic expressions to solving advanced linear-quadratic simultaneous systems.

What’s Included:

• 5 Printable Practice Worksheets covering core algebra topics.
• Adding & Subtracting Algebraic Terms: 38 problems covering common denominators, algebraic numerators, binomial terms, and expression simplification.
• Factoring Quadratics & Expressions: 32 problems covering GCF, difference of two squares, trinomials, non-monic quadratics, and perfect squares.
• Laws of Indices & Fractional Exponents: 10 multi-part exercises covering laws of powers, negative indices, and solving for unknown exponent variables.
• Solving Linear Inequalities: 20 exercises covering multi-step inequalities, distribution, variable terms, and sign-flips with negative division.
• Systems of Equations / Simultaneous Equations (Linear & Non-Linear): 10 comprehensive problems covering elimination, substitution, and combined linear-quadratic systems.
• Complete Worked Solutions: Fully worked answer keys for every problem to facilitate fast marking or self-directed study.

Key Benefits:

• Clear layout suitable for in-class instruction, homework, or independent revision.
• Aligned to GCSE / IGCSE Math (Higher & Foundation), Key Stage 3 & 4 (KS3/KS4), and High School Algebra 1 & 2 curricula.
• Versatile utility: Ideal for main lessons, structured review sessions, test prep, or emergency cover work.