
ACCUPLACER:
NextGeneration Math Content Overview
Before
you get started:
 For
the math test only, students will selfselect their initial starting
point.
The available choices are:
1) Quantitative Reasoning, Algebra, and Statistics OR
2) Advanced Algebra and Functions.
Once you select a starting point
and the test has started, you cannot go back to change it.
 In
most cases, you will receive your placement after going through
one or two sections of the test.
 This
test is designed to assess your current skills at the time you
take your test  it will not help you learn new math that you
have never been exposed to before.
 If
you have previous math experience in high school or college, but
have become "rusty" over time and want to sharpen your
skills, it is best to target your learning in the areas that you
have difficulty in first, then review the rest of the topics in
that section to solidify your skills. Don't "cherry pick"
because you can expect to see test questions from ALL bullet points
in that section.
 Remember,
terms like "easy" or "difficult" is subjective.
What is easy for one person can be very difficult for another.
Arithmetic
Difficulty Level: Level 1  Easy Questions
Equivalent
Courses at KCC: MATH 75X, MATH 82, MATH 32
The arithmetic test consists of 20 questions on the following
topics:
 Whole
number operations
(35 items)
Addition, subtraction, multiplication and division of whole numbers,
including order of operations, estimation and rounding, and applying
operations to reallife contexts
 Fraction
operations (35 items)
Addition,
subtraction, multiplication and division of fractions and mixed
numbers, including order of operations, estimation and rounding,
and applying operations to reallife contexts
 Decimal
operations (35 items)
Addition,
subtraction, multiplication and division of decimal numbers, including
order of operations, estimation and rounding, and applying operations
to reallife contexts
 Percent
(35 items)
Calculation
with percent with or without a context, including percent increase,
percent decrease, determining the percent of a number, and applying
percent to reallife contexts
 Number
comparisions and equivalents (35 items)
Comparisons
of differently formatted values by ordering, using the number
line, and using equality/inequality symbol notation; and evaluation
of equivalent number statements (to assess mental math strategies)
Quantitative Reasoning, Algebra, and Statistics (QAS)
Difficulty
Level: Level 2  Medium Questions
Equivalent
Courses at KCC: MATH 78, 88, 100, 103, 111, 115
The
QAS test consists of 20 questions on the following topics:
 Rational
numbers
(13 items)
Calculating and applying rational numbers (with or without a context),
including usage of absolute value
 Ratio
and proportional relationships (34 items)
Calculating
with rates, ratios, and proportions (with or without a context),
and using unit conversions
 Exponents
(23 items)
Calculating
with exponents, radicals, fractional exponents, and applying scientific
notation
 Algebraic
expressions (23 items)
Creating
and evaluating expressions to represent situations, and using
properties of operations to combine like terms and identify equivalent
expressions
 Linear
equations (24 items)
Creating
linear equations in one or two variables, solving linear equations,
simplifying linear equations and inequalities, and solving systems
of two linear equations
 Linear
applications and graphs (24
items)
Applying linear equations to reallife contexts, using elementary
linear functions to describe relationships, and graphing linear
equations in two variables, linear inequalities, parallel and
perpendicular lines, and systems of equations
 Probability
and sets (13 items)
Calculating
probability (simple, compound, and conditional), and defining
sample spaces and events using set notation
 Descriptive
statistics (13 items)
Interpreting
graphical displays of data (histograms, box plots, and scatterplots),
describing shape and spread of a sample set, and calculating measures
of center
 Geometry
concepts for HS PreAlgebra (12 items)
Determining
area and perimeter, circle area and circumference, and volume
of prisms
 Geometry
concepts for HS Algebra 1 (12 items)
Creating
expressions for area, perimeter, and volume, using distance formula
and Pythagorean theorem, and evaluating basic geometric transformations
Advanced Algebra and Functions (AAF)
Difficulty Level: Level 3  More Difficult Questions
Equivalent
Courses at KCC: MATH
135, MATH 140, MATH 205
The
AAF test consists of 20 questions on the following topics:
 Linear
equations
(23 items)
Calculating linear equations in one or two variables, solving
linear equations, simplifying linear equations and inequalities,
and solving systems of two linear equations
 Linear
applications and graphs (23 items)
Applying
linear equations to reallife contexts, using elementary linear
functions to describe relationships, and graphing linear equations
in two variables, linear inequalities, parallel and perpendicular
lines
 Factoring
(12 items)
Factoring
methods applied to quadratics, cubics, and polynomials
 Quadratics
(23 items)
Creating
quadratic equations in one or two variables, solving quadratic
equations (via factoring or using the quadratic equation), simplifying
quadratic equations and inequalities, and solving for systems
that involve a quadratic equation
 Functions
(24
items)
Creating
functions using function notation, evaluating linear and quadratic
functions, graphing functions, and interpreting functions within
a context
 Polynomial
equations (13
items)
Creating
polynomial equations in one and two variables, solving polynomial
equations, and graphing polynomial functions
 Radical
and rational equations (13
items)
Creating
radical and rational equations and functions in one variable,
determining domain and range for radical and rational functions,
graphing radical and rational functions, and simplifying radical
and rational expressions and equations
 Exponential
and logarithmic equations (13
items)
Creating
exponential and logarithmic equations in one and two variables,
solving exponential and logarithmic equations, graphing exponential
and logarithmic functions, and interpreting exponential and logarithmic
functions
 Geometry
concepts for HS Algebra 1 (12 items)
Creating
expressions for area, perimeter, and volume, using distance formula
and Pythagorean theorem, and evaluting basic geometric transformations
 Geometry
concepts for HS Algebra 2 (12 items)
Determining
volume of nonprism objects, using intersecting line theorems,
using triangle similarity and congruency theorems, and using circle
equations in the coordinate plane
 Trigonometry
(13 items)
Solving
trigonometric equations, using right triangle trigonometry including
special triangles, evaluating equivalent trigonometric functions,
graphing trigonometric relationships, determining arc length and
radian measures, and using the law of sines and the law of cosines.
