NCC Contents

Algebraic Expressions

Category TitleProblems
Simplifying Monomial and Polynomial Expressions34
Simplifying Rational Expressions57
Factoring Polynomials54
Evaluating Polynomials and Rational Expressions25
Radical Expressions59
Miscellaneous32

Equations, Inequalities, and Functions

Category TitleProblems
Solving First Degree Equations and Inequalities50
Solving Formulas for One Variable22
Linear Equations and Inequalities61
Solutions of Quadratic Equations and Inequalities48
Miscellaneous Equations and Inequalities61
Higher Order Equations and Inequalities22
Systems of Equations and Inequalities57
Functions75

Miscellaneous Algebra Topics

Category TitleProblems
Order of Operations19
Defined Operations21
Properties of Real Numbers and Operations47
Probability/Combinatorics107
Proportion/Inverse Proportion/Ratio62
Miscellaneous Topics (Including Scientific Notation and Statistics)46

Word Problems

Category TitleProblems
Age, Rate, Work, Current/River Problems77
Percent and Solution Problems56
Miscellaneous Word Problems96

Geometry

Category TitleProblems
Right Triangles55
Other Triangles81
Quadrilaterals91
Polygons57
Similarity and Congruence43
Circles—Radii, Diameters, Circumferences, Chords, Secants, Tangents84
Circles—Areas, Sectors, Segments, Annuli30
Circles—Angles and Arc Measures38
Conic Sections and Miscellaneous Circle Problems91
Composite Figures—Area69
Composite Figures—Miscellaneous34
Solids—Volume42
Solids—Miscellaneous71
Logic35
Trigonometry68
Analytic Geometry67
Miscellaneous Geometry102

Number Theory

Category TitleProblems
Prime Factors, Divisibility, LCM, etc.20
Modular Arithmetic, Bases, Place Value32
Miscellaneous Number Theory16

Algebra II Topics

Category TitleProblems
Logarithmic and Exponential Equations24
Variable Exponents27
Logarithmic and Exponential Expressions and Functions28
Complex Numbers and Complex Roots41
Matrices and Determinants18
Sequences and Series72

Free Response Problems

Category TitleProblems
Free Response Problems88