NEXT-GENERATION
MATH ACCUPLACER
TEST REVIEW BOOKLET
Next Generation
Advanced
Algebra and
Functions
,Property of MSU Denver Tutoring Center
2
,Table of Contents
About..................................................................................................................7
Test Taking Tips.................................................................................................9
1 Integers and Rational Numbers.........................................................................11
1.1 Useful Memorization
1.2 Absolute Value
1.3 Order of Operations
1.4 Substitution
1.5 Rules of Fractions
1.6 Mixed Fractions
1.7 Rules of Exponents
1.8 Simplifying Radicals
1.9 Rules of Radicals
1.10 Rationalizing
2 Linear Expressions and Equations….................................................................47
2.1 Simplifying Expressions
2.2 Solving Linear Equations
2.3 Solving Inequalities
2.4 Solving Systems of Equations
2.5 Graphing Linear Equations
2.6 Building Lines
3 Logarithms.........................................................................................................79
3.1 Exponential Form vs. Logarithmic Form
3.2 Rules of Logarithms
3.3 Solving Logarithmic Equations
3.4 Common Base Technique
3.5 Exponential Models
4 Functions.........................................................................................................103
4.1 Introduction, Domain, and Range
4.2 Evaluating Functions
4.3 Composition Functions and Inverses
4.4 Transformations of Functions
3
, 4
MATH ACCUPLACER
TEST REVIEW BOOKLET
Next Generation
Advanced
Algebra and
Functions
,Property of MSU Denver Tutoring Center
2
,Table of Contents
About..................................................................................................................7
Test Taking Tips.................................................................................................9
1 Integers and Rational Numbers.........................................................................11
1.1 Useful Memorization
1.2 Absolute Value
1.3 Order of Operations
1.4 Substitution
1.5 Rules of Fractions
1.6 Mixed Fractions
1.7 Rules of Exponents
1.8 Simplifying Radicals
1.9 Rules of Radicals
1.10 Rationalizing
2 Linear Expressions and Equations….................................................................47
2.1 Simplifying Expressions
2.2 Solving Linear Equations
2.3 Solving Inequalities
2.4 Solving Systems of Equations
2.5 Graphing Linear Equations
2.6 Building Lines
3 Logarithms.........................................................................................................79
3.1 Exponential Form vs. Logarithmic Form
3.2 Rules of Logarithms
3.3 Solving Logarithmic Equations
3.4 Common Base Technique
3.5 Exponential Models
4 Functions.........................................................................................................103
4.1 Introduction, Domain, and Range
4.2 Evaluating Functions
4.3 Composition Functions and Inverses
4.4 Transformations of Functions
3
, 4
