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Math GeniusAlgebraPractice
Practice Workbook Series

Competition Algebra Practice Workbook

Extra Practice for Every Chapter, with a Worked Solution for Every Method

Mirrors the Main BookFresh ProblemsWorked SolutionsContest Level
Grades 6–10 ·Competition Ready · Print-Ready PDF
$25.00

About This Book

The companion practice volume to Competition Algebra. Every chapter of the main book gets a matching set of fresh problems, each with an answer and a worked solution for its method, so a student can drill a technique immediately after learning it.

Table of Contents

1 Expressions and Substitution
2 Linear Equations
3 Literal Equations and Formulas
4 Word Problems with Linear Equations
5 Ratios, Proportions, and Percent Change
6 Direct, Inverse, and Joint Variation
7 Linear, Compound, and Absolute Value Inequalities
8 Absolute Value Equations
9 Distance, Midpoint, and Dividing a Segment
10 Slope and Equations of Lines
11 Systems of Two Equations
12 Word Problems with Systems
13 Systems in Three Variables
14 Exponent Rules and Scientific Notation
15 Polynomial Arithmetic
16 Factoring
17 Radicals and Radical Expressions
18 Radical Equations
19 Solving Quadratics by Factoring
20 Completing the Square, the Quadratic Formula, and the Discriminant
21 Quadratic Functions: Vertex, Maximum, and Minimum
22 Quadratic Inequalities
23 Complex Numbers
24 Rational Expressions
25 Rational Equations
26 Functions: Notation, Domain, and Range
27 Composition and Inverse Functions
28 Transformations of Graphs
29 Floor, Ceiling, and Piecewise Functions
30 Arithmetic Sequences and Series
31 Geometric Sequences and Series
32 Exponential Growth and Compound Interest
33 Logarithms and Exponential Equations
34 Polynomial Division and the Remainder Theorem
35 The Binomial Theorem
36 Evaluating Without Solving
37 Defined Operations
38 Factoring Tricks: $xy + ax + by$, and Sums and Differences of Cubes
39 Vieta's Formulas: Sums and Products of Roots
40 Integer and Rational Roots of Polynomials
41 Symmetric Expressions and Power Sums
42 Symmetric and Special Systems
43 Telescoping Sums and Products
44 Infinite Expressions: Nested Radicals and Continued Fractions
45 Functional Equations
46 The AM-GM Inequality
47 Distance, Rate, and Time
48 Work Rate
49 Mixtures
50 Averages: Mean, Weighted, and Pairwise

Free Sample

A free sample for this title is coming soon.

Why This Book?

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Infinite Variations

Every practice set uses our AI-powered generator — the same numbers never appear twice.

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Answers and Worked Methods

Every problem has an answer, and a full step-by-step solution for its method — nothing is left as just a number.

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Competition Aligned

Difficulty and style are calibrated to AMC 8 and MathCounts standards.

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Print Ready

Professionally typeset with LaTeX — sharp on any standard printer.