Next-Generation Math Accuplacer Test Review Booklet - Quantitative Reasoning, Algebra and Statistics

Sep 17, 2026

Uploaded by William

Next-Generation Math Accuplacer test review booklet for the Next-Generation Quantitative Reasoning, Algebra, and Statistics (QAS) placement test. Provides section-by-section study coverage of rational numbers, ratios and proportional relationships, exponents, linear expressions and equations, quadratic equations, sets and probability, descriptive statistics, geometry concepts, and word problems. Includes guidance on test taking strategies, the testing format as computer adaptive multiple choice, assessed skill categories, and practice tests with answer checking.

LanguageEnglish

CategoryExam

FormatPDF

Pages197

Reading Time8 h 16 min

AccessFree to download

About

Test Taking Tips

1 Rational Numbers

1.1 Useful Memorization

1.2 Absolute Value

1.3 Order of Operations

1.4 Substitution

2 Ratios and Proportional Relationships

2.1 Rules of Fractions

2.2 Mixed Fractions

2.3 Ratios and Proportions

3 Exponentiation

3.1 Rules of Exponents

3.2 Simplifying Radicals

3.3 Rules of Radicals

3.4 Rationalizing

4 Linear Expressions and Equations

4.1 Simplifying Expressions

4.2 Solving Linear Equations

4.3 Solving Inequalities

4.4 Solving systems of Equations

4.5 Graphing Linear Equations

4.6 Building Lines

5 Quadratic Equations

5.1 Distribution and Foiling

5.2 Factoring Expressions

5.3 Solving Quadratic Equations

6 Sets and Probability

6.1 Sets

6.2 Probability

7 Descriptive Statistics

7.1 Descriptive Statistics

8 Geometry Concepts

8.1 Two-Dimensional Shapes

8.2 Three-Dimensional Shapes

9 Word Problems

9.1 Setting up an Equation

9.2 Word Problem Practice

10 Practice Tests

10.1 Practice Test 1

10.2 Practice Test 2

10.3 Practice Test 3

NEXT-GENERATION MATH ACCUPLACER TEST REVIEW BOOKLET Next Generation Quantitative Reasoning Algebra and Statistics Property of MSU Denver Tutoring Center About...................................................................................................................7 Test Taking Tips..................................................................................................9 1 Rational Numbers.............................................................................................. 11 1.1 Useful Memorization 1.2 Absolute Value 1.3 Order of Operations 1.4 Substitution 2 Ratios and Proportional Relationships..............................................................27 2.1 Rules of Fractions 2.2 Mixed Fractions 2.3 Ratios and Proportions 3 Exponentiation...................................................................................................43 3.1 Rules of Exponents 3.2 Simplifying Radicals 3.3 Rules of Radicals 3.4 Rationalizing 4 Linear Expressions and Equations.....................................................................63 4.1 Simplifying Expressions 4.2 Solving Linear Equations 4.3 Solving Inequalities 4.4 Solving systems of Equations 4.5 Graphing Linear Equations 4.6 Building Lines 5 Quadratic Equations..........................................................................................95 5.1 Distribution and Foiling 5.2 Factoring Expressions 5.3 Solving Quadratic Equations 6 Sets and Probability......................................................................................... 111 6.1 Sets 6.2 Probability 7 Descriptive Statistics....................................................................................... 131 7.1 Descriptive Statistics 8 Geometry Concepts.........................................................................................153 8.1 Two-Dimensional Shapes 8.2 Three-Dimensional Shapes 9 Word Problems................................................................................................ 165 9.1 Setting up an Equation 9.2 Word Problem Practice 10 Practice Tests................................................................................................... 177 10.1 Practice Test 1 10.2 Practice Test 2 10.3 Practice Test 3 Each subsection in this practice book is followed by practice problems and answers. Make sure to check your answers! This practice book contains a lot of material. The intention of including so much information is to make sure you’re prepared for the test. You can start at the very beginning and work your way up, or you can focus on specific sections you need help with. Make sure you ask a tutor for help if you aren’t sure about something! Here is some information about the MSU Tutoring Center and the Placement Test. MSU Denver Tutoring Center Mission The mission of the MSU Denver Tutoring Center is to increase student persistence by offering free student-centered academic support across disciplines. The Tutoring Center is not only for students who are having difficulty with course material, but also for students who are looking to excel. Whether your goal is to catch up, keep up, or do better in your studies, the Tutoring Center is here to help you by offering free one-on-one and group academic support in a variety of subjects. We promote an environment that is welcoming to the diverse student body of MSU Denver by providing professionally trained tutors who are competent in subject material and areas such as diversity, learning styles, and communication. What is the Next-Generation Accuplacer? The Next-Generation Quantitative Reasoning, Algebra, and Statistics (QAS) placement test is a computer adaptive assessment of test-takers’ ability for selected mathematics content. Questions will focus on a range of topics including computing with rational numbers, applying ratios and proportional reasoning, creating linear expr

FAQs

What subjects does the QAS placement test cover?

The test covers rational numbers, ratios and proportional relationships, exponents, algebraic expressions, linear equations and applications, probability and set notation, descriptive statistics, geometry concepts, and related graphical and word-problem applications.

How does the Next-Generation Accuplacer adjust difficulty?

It uses an algorithm called branching. The test changes its difficulty level based on performance: incorrect answers make it easier, while correct answers make it harder.

What test-taking strategies does the booklet recommend?

Students are encouraged to take their time, read questions carefully, use the provided scratch paper, and use multiple-choice options to help find the correct answer. If they forget rules, they should try simpler examples and break problems into smaller parts.

Sep 17, 2026

Uploaded by William