# ACCUPLACER - Concepts Tested

**Arithmetic Test**

17 questions are administered divided into 3 types containing the following concepts:

1. Operations with whole numbers and factions. Topics
included are addition , subtraction,

multiplication, division, recognizing equivalent factions and mixed numbers, and
estimating.

2. Operations with decimals and percents . Topics included are addition,
subtraction,

multiplication, division with decimals. Percent problems, recognition of
decimals, fraction

and percent equivalencies, and problems involving estimation are also given.

3. Applications and problem solving. Topics included are rate, percent, and
measurement

problems, simple geometry problems, and distribution of a quantity into its
fractional parts.

Questions from all three categories are always presented
to the student although the number

of questions from each category varies with the student's skill level. For
example, if the

student's responses show minimal arithmetic skills, presenting too many
applications problems

is pointless. On the other hand, a student exhibiting good skills with whole
numbers and

fractions will be presented with more of these types of problems. Thus, the
proportion of

questions in the various categories will automatically vary according to the
student's

responses.

Whole numbers and fractions | 31-44% of test |

Decimals and percents | 31-38% of test |

Applications and problem solving | 25-31% of test |

**Elementary Algebra Test **

12 questions are administered divided into 3 types containing the following concepts:

1. Operations with integers and rational numbers,
computation with integers and negative

rational numbers, the use of absolute values, and ordering. These questions test
minimal

skill levels of the student.

2. Operations with algebraic expressions tests minimal
skill levels using evaluation of simple

formulas and expressions , and adding and subtracting monomials and polynomials.
At all

sill levels, questions are provided involving multiplying and dividing monomials
and

polynomials, the evaluation of positive rational roots and exponents ,
simplifying algebraic

fractions and factoring.

3. Solution of equations , inequalities, and word problems.
As with the Arithmetic Test, few

questions from this category are presented to the student unless he or she shows
skill in

this area. When a high degree of competence is indicated, questions from this
category

include solving linear equations and inequalities, the solution of quadratic
equations by

factoring, solving verbal problems presented in an algebraic context, including
geometric

reasoning and graphing, and the translation of written phrases into algebraic
expressions.

Signed Numbers and rational numbers | 8-17% of test |

Algebraic Expressions | 42-67% of test |

Equations, inequalities, and word problems | 17-50% of test |

**College-Level Mathematics Test **

This test enables institutions to place students into
intermediate algebra, college algebra, precalculus,

and introductory calculus courses.

20 questions are administered divided into 6 types containing the following concepts:

1. Algebraic operations including simplifying rational
algebraic expressions, factoring and

expanding polynomials, and manipulating roots and exponents.

2. Solutions of equations and inequalities including the solution of linear and
quadratic

equations and inequalities, systems of equations , and other algebraic equations.

3. Coordinate geometry including plane geometry, the coordinate plane, straight
lines,

conics, sets of points in he plane, and graphs of algebraic functions.

4. Applications and other algebra topics including complex numbers, series and

sequences, determinants, permutations and combinations, factorials, and word

problems.

5. Functions including questions involving polynomial, algebraic, exponential,
and

logarithmic functions .

6. Trigonometry including trigonometric functions.

Algebraic operations | 20% of test |

Solutions of equations and inequalities | 15% of test |

Coordinate Geometry | 15% of test |

Functions | 20% of test |

Trigonometry | 20% of test |

Applications and other algebra topics | 10% of test |

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