University of New England

Topics by Section

(No Calculator Allowed)

Basic Math and Algebra I section includes the following:

• Converting amongst fractions, decimals and ratios
• Evaluating expressions involving absolute values
• Adding, subtracting, multiplying and dividing integers, fractions and decimals
• Evaluating exponential expressions
• Evaluating expressions using order of operations
• Evaluating algebraic expressions for given values of variables
• Evaluating algebraic expressions using rules of exponents
• Solving linear equations
• Graphing linear equations
• Problem solving with percents
• Solving proportions
• Applying common formulas for area, perimeter and volume for the following: square, rectangle, circle, triangle, cube, rectangular solid, circular cylinder, sphere
• Applying common formulas of temperature conversion between Fahrenheit and Celsius, formulas for simple interest, distance traveled and work rate

Intermediate Algebra Section Includes the following:

• Graphing linear inequalities
• Finding the intercepts and vertex of a parabola
• Finding the slope of a line
• Graphing linear equations
• Finding equations for parallel and perpendicular lines
• Applying rules of exponents to simplify expressions
• Factoring polynomials
• Solving polynomial equations by factoring
• Solving systems of equations algebraically and by graphing
• Multiplying and dividing polynomial and rational expressions
• Adding and subtracting polynomial and rational expressions
• Solving Rational Equations
• Simplifying radicals and radical expressions
• Converting between scientific notation and standard notation
• Evaluating expressions involving scientific notation

Precalculus section includes the following:

• Solving inequalities
• Finding the domain and range of a function
• Evaluating the value of a function at a given point
• Determining the composition of two functions
• Graphing functions
• Finding the inverse of a function
• Applying transformations of functions including vertical and horizontal shifting, stretching and shrinking.
• Determining when a function is even or odd
• Graphing exponential and logarithmic functions
• Solving exponential and logarithmic equations
• Applying rules of logarithms and their applications
• Finding terminal points on a unit circle
• Applying trigonometric identities
• Finding amplitude and period of a trigonometric function