Mathematics Competencies Tested on the AEPA
The math test covers ten major skill areas with each skill area addressing one or more subskills. An outline showing these skill areas and their major subskills is shown below.
0016 Use Number Concepts and Computation Skills
 Adding, Subtracting, Multiplying, and Dividing Fractions, Decimals, and Integers
 Using the Order of Operations to Solve Problems
 Solving Problems Involving Percents
 Performing Calculations Using Exponents and Scientific Notation
 Estimating Solutions to Problems
 Using the Concepts of "Less Than" and "Greater Than"
0017 Solve Word Problems Involving Integers, Fractions, or Decimals (including Percents, Ratios, and Proportions)
 Determining the Appropriate Operations to Solve Word Problems
 Solving Word Problems Involving Integers, Fractions, Decimals, Percents, Ratios, and Proportions
0018 Interpret Information from a Graph, Table, or Chart
 Interpreting Information in Line Graphs, Bar Graphs, Pie Graphs, Pictographs, Tables, Charts, or Graphs of Functions
0019 Understand Basic Principles of Probability and Statistics
 Finding the Probability of Occurrence of a Simple Event
 Finding the Mean, Median, Mode, or Range of a Given Set of Data
 Organizing Collections of Data into Frequency Charts, Scatter Plots, and Histograms
 Drawing Inferences Based on a Statistical Summary of Data
0020 Graph Numbers or Number Relationships
 Identifying Points from Their Coordinates, the Coordinates of Points, or Graphs of Sets of Ordered Pairs
 Identifying the Graphs of Equations or Inequalities
 Finding the Slopes and Intercepts of Lines
 Recognizing Direct and Inverse Variation Presented Graphically
0021 Solve One and TwoVariable Equations
 Finding the Value of the Unknown in OneVariable Equations
 Expressing One Variable in Terms of a Second Variable in TwoVariable Equations
 Solving a System of Two Linear Equations in Two Variables
0022 Solve Word Problems Involving One and Two Variables
 Solving Word Problems that can be Translated into OneVariable Linear Equations or Systems of TwoVariable Linear Equations
 Identifying the Equation or Equations That Correctly Represent the Mathematical Relationship(s) in Word Problems
0023 Understand Operations with Algebraic Expressions
 Factoring quadratics and Polynomials
 Adding, Subtracting, and Multiplying Polynomial Expressions
 Performing Basic Operations on and Simplifying Rational Expressions
0024 Solve Problems Involving Geometric Figures
 Identifying the Appropriate Formula For Solving Geometric Problems
 Solving Problems Involving Two and ThreeDimensional Geometric Figures
 Solving Problems Involving Right Triangles Using the Pythagorean Theorem
0025 Apply Reasoning Skills
 Using Algorithmic Logic
 Drawing Conclusions Using the Principles of Similarity, Congruence, Parallelism, and Perpendicularity
 Using Inductive and Deductive Reasoning
