Competition Mathematics Series
Competition Algebra
Algebra 1 and Competition Problem Solving
AMC 8 ReadyLinear EquationsQuadraticsWord Problems
Grades 7–8
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Competition Ready
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Print-Ready PDF
$24.99
About This Book
A full Algebra 1 curriculum enhanced with competition-level problem sets. Builds from integer arithmetic through quadratics and rational expressions, with dedicated chapters on competition shortcuts and AMC 8 problem types.
Table of Contents
1
Integer Operations
2
Decimal Operations
3
Fractions
4
Fraction, Decimal, and Percent Conversions
5
Order of Operations
6
Percentages
7
Ratios and Proportions
8
Percent Change
9
Evaluating Algebraic Expressions
10
Combining Like Terms and the Distributive Property
11
One-Step Equations
12
Two-Step Equations
13
Multi-Step Equations
14
Literal Equations
15
Scaling an Expression Without Solving
16
Word Problems with Linear Equations
17
Consecutive Integer Problems
18
Linear Inequalities and Compound Inequalities
19
Absolute Value Equations
20
The Coordinate Plane
21
Slope and Equations of Lines
22
Parallel and Perpendicular Lines
23
Systems of Linear Equations
24
Applications of Systems of Equations
25
Direct and Inverse Variation
26
Exponent Rules
27
Scientific Notation
28
Adding and Subtracting Polynomials
29
Multiplying Polynomials
30
Factoring Polynomials
31
Remainder and Factor Theorem
32
Simplifying and Operating with Radicals
33
Radical Expressions with Variable Exponents
34
Radical Equations
35
Solving Quadratic Equations by Factoring
36
Completing the Square and the Quadratic Formula
37
Discriminant and Number of Real Solutions
38
Quadratic Functions and Graphing
39
Rational Expressions
40
Rational Equations
41
Functions and Function Notation
42
Defined Operations
43
Function Composition
44
Sequences
45
Distance, Rate, and Time
46
Work Rate Problems
47
Mixture Problems
48
Exponential and Logarithmic Equations
49
The Binomial Theorem
50
Statistics — Mean, Median, Mode, and Range
51
Pairwise Averages
52
Systems of Equations — Symmetric and Special Forms
53
Averages and Weighted Means
54
Sequences, Sums, and Telescoping Products
55
Set Theory and Venn Diagrams
56
LCM and Scheduling
57
Linear Rate Word Problems
58
Number Theory — Prime Numbers
59
Combinatorics and Probability
60
Chinese Remainder Theorem
61
Coordinate Geometry — Lines and Slopes
62
Number Theory — Cycles and Factorials
63
Logic and Systematic Problem Solving
64
Geometry and Measurement Applications
65
Fractions, Decimals, and Percentages
66
Algebraic Identities and Factoring
Free Sample
A free sample for this title is coming soon.
Why This Book?
Infinite Variations
Every practice set uses our AI-powered generator — the same numbers never appear twice.
Complete Solutions
Every problem includes a step-by-step worked solution, not just the final answer.
Competition Aligned
Difficulty and style are calibrated to AMC 8 and MathCounts standards.
Print Ready
Professionally typeset with LaTeX — sharp on any standard printer.