# MATH TEST TOPICS (Arithmetic, Elementary Algebra, and College-Level Math)

**ARITHMETIC TOPICS**

**Computation and estimation of operations with whole numbers**

Whole Numbers and Fractions

Whole Numbers and Fractions

Addition and subtraction of fractions or mixed numbers

Multiplication involving fractions or mixed numbers

Division of a whole number by a fraction or mixed number

Division of a fraction/mixed number by a whole number, fraction, or mixed number

Mixed operations with whole numbers, fractions, and mixed numbers

Squares and square roots (whole numbers, fractions)

Recognition of equivalent fractions and mixed numbers

Estimation of sums, differences, products, and quotients that involve fractions or

mixed numbers

Decimals and Percents

Decimals and Percents

Addition and subtraction of decimals

Multiplication of decimals by whole numbers other than powers of ten and by

decimals

Multiplication of a decimal by a power of ten

Division of a decimal by a whole number other than a power of ten or by a decimal

Division of a whole number by a decimal

Division of a decimal by a power of ten

Recognition of fraction, decimal, and percent equivalences

Ordering decimals, fractions, and percents; and rounding

Percent of a number

Percent one number is of another

A number when a percent of it is known

Squares and square roots (decimals)

**Applications**

Rate problems including ratio and proportion

Percent problems

Distribution of a quantity into fractional parts

Measurement problems

Average

Problems related to graphs and tables**ELEMENTARY ALGEBRA TOPICS**

**Integers and Rationals**

Ordering

Operations with signed numbers

Absolute value

Algebraic Expressions

Evaluating formulas and other algebraic expressions

Addition and subtraction of monomials and polynomials

Multiplication of monomials and polynomials

Positive rational roots and exponents

Squaring a binomial

Factoring difference of squares

Factoring ax2 + bx + c over the integers

Factoring polynomials that are not quadratics

Operations with algebraic fractions involving addition, subtraction, multiplication, and

division

Division of monomials and polynomials including simplification of algebraic fractions

**Equations, Inequalities, and Word Problems**

Solving linear equations and inequalities

Systems of linear equations

Quadratic equations solution by factoring

Translating written phrases or sentences into algebraic expressions or equations

Solving verbal problems in an algebraic context including geometric reasoning

Graphing

COLLEGE-LEVEL MATH TOPICS**Algebraic Operations**

Addition of algebraic fractions

Addition and subtraction of expressions involving absolute value

Operations with polynomials

Multiplication, division, and simplification of algebraic fractions

Operations with exponents

Powers, roots, radicals

Factoring quadratic expressions**Solution of Equations and Inequalities**

Linear equations and inequalities

Quadratic equations

Systems of equations and inequalities

Exponential equations

Equations of degree greater than 2**Coordinate Geometry**

The coordinate plane

Straight lines

Conics

Locus of points

Graphs of algebraic functions

**Applications and Other Algebra Topics**

Translation

Complex numbers

Series and Sequences

Determinants

Permutations and combinations

Factorials

Polygons**Functions**

Functions of degree greater than 2

Exponents and logarithms

Graphical properties, exponential and logarithmic functions

Domain and range

Composition of functions

Inverse functions

Computations with simple functions

Periodicity, amplitude, and other properties**Trigonometry**

Fundamental definitions of trig functions

Right triangle trigonometry and circular functions

Laws of sines and cosines

Graphs of trigonometric functions

Trigonometric equations and inequalities

Trigonometric identities

Trigonometric functions of two angles

Inverse trigonometric functions

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