Arithmetic Elementary Algebra Guide

COMMUNITY COLLEGE OF DENVER testing center
Entry-Level
MATHEMATICS
Study Guide
for the
Accuplacer Placement Test
n Arithmetic
n Elementary Algebra
Study Guides courtesy of Aims Community College • Greeley, Colorado
1
TABLE OF CONTENTS
Retaking the Accuplacer?
Retakes of the Accuplacer placement test are permitted. An individual Accuplacer test may be taken
up to three times in two years under the following
conditions:
First Retake: $10 fee per section
Second Retake: $10 fee per section AND
must have your advisor’s approval
Arithmetic
Fractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 – 4
Decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 – 6
Percents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 – 8
Elementary Algebra
Reviewing these study guides and following the
testing tips below will allow you to best demonstrate your true abilities. Your scores on the test
may help you bypass some or all developmental
education classes, which will help you finish your
degree or certificate sooner.
Order of Operations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Scientific Notation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Substitution. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Linear Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
Testing tips:
•Get a good night’s sleep before you test
•Eat a meal or snack before you test.
•Maintain a positive attitude.
•Pace yourself and don’t rush.
•Test at a time when you are most alert.
Word Problems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
Exponents & Polynomials. . . . . . . . . . . . . . . . . . . . . . . . . 11
Factoring. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
Quadratic Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
For more information about the Accuplacer test,
please visit www.ccd.edu/testing.
Rational Expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Graphing. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Systems of Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Radicals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
1
CCD TESTING CENTER
STUDY GUIDE for the ACCUPLACER Placement Test
Arithmetic
Arithmetic
Review :: Fractions
2
Arithmetic
3
Arithmetic
Practice :: Fractions
4
Arithmetic
Review :: Decimals
5
Practice :: Decimals
6
Study Guide courtesy of
Aims Community College,
Greeley, CO
CCD TESTING CENTER
Arithmetic Study Guide for the
ACCUPLACER Assessment Test
PERCENTS
Percents are used to describe a part of something. Percents are used to figure out sales or the amount of interest someone will pay on a
loan. When converting a percent to its fraction form, it will always have a denominator of 100.
Changing Decimals to Percents or Percents to Decimals
The important key is where to move the decimal point. If changing from decimal to a percent , you would need to move the decimal
point two places to the right and add the percent sign.
Example: 0.35 = 35%
0.8 = 80%
To change from percent to decimal, need to move the decimal point two places to the left and drop the percent sign.
Example: 30% = .3
0.9% = .009
Converting Fraction to Percent Form
Divide the bottom number of the fraction into the top number and move the point two places to the right.
Example:
.75
4 3.00 = .75 = 75%
28
3
4
20
20
0
-orMultiply the fraction by 100%
Example:
3
4
25
3
100% 75%
x
=
= 75%
4
1
1
1
Percent to Fraction
Example: 85%
85
5 17
÷ =
100 5 20
Write the percent as a fraction with 100 as the denominator. Then
reduce the fraction to lowest terms.
Percent of a Number
1) What is 25% of $6,500.
n = 25% x $6,500
n = .25 x 6500
n = $1,625
04/25/00
2) Change the percent to a fraction
-or-
n =
1
(6,500)
4
6,500
n =
4
n =$1,625
6:7
7
Arithmetic Study Guide.doc
Arithmetic
Review :: Percents
Practice :: Percents
8
CCD TESTING CENTER
STUDY GUIDE for the ACCUPLACER Placement Test
Elementary Algebra
9
Practice :: Elementary Algebra
Elementary Algebra
10
Elementary Algebra
11
Practice :: Elementary Algebra
Elementary Algebra
12
1.
2.
3.
4.
Elementary Algebra
Answers :: Elementary Algebra
√
13
0.000000001819
Elementary Algebra
14
4
15
Elementary Algebra
(.22)
4(x-3)(x+3)
Elementary Algebra
X. Quadratic Equations
16
Elementary Algebra
17
Elementary Algebra
18
#2
Elementary Algebra
#3.
19
If you require assistance with the questions contained in this workbook, you can
receive help by visiting:
Academic Support Center
South Classroom Building
Room 142
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