Arco Ged Math Workbook

by Herzog, David Alan; Sterling, Mary Jane

• ISBN13: 9780764560989
• ISBN10: 0764560980
• Edition: 5th
• Format: Paperback
• Copyright: 2000-10-01
• Publisher: Arco Pub

Summary

To ensure success on the GED, students often need intense review in at least one of the core test subjects. This workbook offers help in arithmetic, algebra, and geometry with two full-length GED math tests and easy to follow, step-by-step solutions to each problem.

Table of Contents

PART ONE: Getting Started
Introduction	3	(1)
What Is the GED?	3	(1)
What Subjects Are Tested in the GED Battery?	4	(1)
Preparing to Take the Test	5	(2)
Nature of the Questions	7	(2)
How to Take the GED Test	9	(1)
What Is a Passing Score?	10	(1)
Tips for the Teacher	10	(2)
About This Book	12	(3)
Pre-Test of GED Mathematics Skills	15	(12)
Pre-Test	16	(6)
Answers	22	(5)
PART TWO: Subject Reviews
Whole Numbers	27	(60)
Whole Numbers Pre-Test	27	(1)
Analysis of Pre-Test Items	27	(1)
Place Value Numeration	28	(5)
Digits	28	(1)
Places	28	(1)
Zero as a Place-Holder	29	(1)
Use of Commas	30	(1)
Reading Large Numerals	31	(1)
Still Bigger Numerals	32	(1)
Addition of Whole Numbers	33	(10)
Finding Sums Less than Twenty	34	(2)
Larger Sums	36	(4)
Column Addition	40	(3)
Differences Between Whole Numbers	43	(10)
Subtraction Facts	44	(1)
Subtracting by Grouping to Ten	44	(2)
Subtraction Without Renaming	46	(1)
Subtraction with Renaming	46	(2)
Subtraction with Two Renamings	48	(2)
Subtraction in Place-Value Form	50	(1)
Three Places in Place-Value Form	51	(1)
Zero in the Top Numeral	52	(1)
Multiplication of Whole Numbers	53	(13)
Multiplication Facts	54	(1)
Two-Step Multiplication	55	(2)
Multiplying Decades, etc.	57	(2)
Multiplying Two Digits by One	59	(1)
Two Digits Times Two Digits	60	(2)
Streamlining Two-Digit Multiplication	62	(2)
Multiplying Larger Numbers	64	(2)
Dividing Whole Numbers	66	(19)
Dividing Two Digits by One	69	(1)
Adding a Fourth Step to the Division Process	70	(2)
Adding Another Digit to the Dividend	72	(2)
Two-Digit Divisors	74	(3)
More on Estimating Quotients	77	(2)
Ladder Division	79	(3)
Ladder Division with Two-Digit Divisors	82	(3)
Whole Numbers Post-Test	85	(2)
Fractional Numbers	87	(26)
Fraction Pre-Test	87	(1)
What Is a Fraction?	88	(2)
Adding and Subtracting Fractions	90	(9)
Adding and Subtracting Fractions with Like Denominators	90	(2)
Equivalent Fractions	92	(2)
Greatest Common Factor and Least Common Multiple	94	(2)
Using Equivalent Fractions to Add and Subtract	96	(2)
Expressing Fractions in Lowest Terms	98	(1)
Multiplying Fractions	99	(3)
Cancelling	100	(2)
Division of Fractions	102	(2)
Mixed Numerals	104	(6)
Adding with Mixed Numerals	104	(2)
Subtracting with Mixed Numerals	106	(2)
Multiplication and Division with Mixed Numerals	108	(2)
Fraction Post-Test	110	(3)
Decimal Fractions	113	(16)
Decimal Fraction Pre-Test	113	(1)
What Is a Decimal Fraction?	114	(2)
Expressing Common Fractions as Decimal Fractions	116	(1)
Rounding Decimals	117	(2)
Addition of Decimal Fractions	119	(1)
Subtraction of Decimal Fractions	120	(1)
Multiplication of Decimals	121	(2)
Multiplication and Division by Powers of 10	123	(2)
Division of Decimals	125	(3)
Decimal Fraction Post-Test	128	(1)
Introduction to Algebra	129	(92)
Algebra Pre-Test	130	(1)
Variables and Constants	130	(4)
Constants	130	(1)
Variables	130	(1)
Combining Variables	131	(1)
Addition	131	(2)
Subtraction	133	(1)
A Question of Balance	134	(3)
Signed Numbers	137	(7)
Absolute Value	137	(1)
Combining Signed Numbers	138	(1)
Adding Signed Numbers	138	(3)
Substracting Signed Numbers	141	(2)
Multiplying and Dividing Signed Numbers	143	(1)
Solving Equations by Equal Additions	144	(1)
Solving Equations by Equal Subtractions	145	(1)
Solving Equations by Multiplication and Division	146	(2)
Putting It All Together	148	(3)
Ratio and Proportion	151	(5)
What Is a Ratio?	151	(3)
What Is a Proportion?	154	(1)
Solving Proportions	155	(1)
Percents	156	(5)
Finding a Percent of a Number	159	(2)
Some Useful Properties	161	(3)
The Closure Property	161	(1)
Realms of Numbers	161	(1)
The Commutative Property	162	(1)
The Associative Property	162	(1)
The Distributive Property	163	(1)
Exponents	164	(4)
Combining Variables with Exponents by Multiplication and Division	164	(2)
The Zero Power	166	(1)
Squares and Square Roots	166	(2)
Monomials, Binomials, and Polynomials	168	(8)
Multiplying Binomials	169	(1)
Factoring Binomials	170	(1)
Factoring the Difference of Two Squares	171	(2)
Factoring Quadratic Expressions	173	(2)
Solving Quadratic Equations by Factoring	175	(1)
Algebra Post-Test	176	(1)
Word-Problems	177	(44)
Preparing to Solve Word-Problems	177	(2)
Number Problems	179	(3)
Consecutive Integer Problems	182	(6)
Problems Involving Ratios and Proportions	188	(3)
Solving Motion Problems	191	(9)
Problems Involving Percents	200	(5)
Interest Problems	205	(3)
Coin and Stamp Problems	208	(6)
Mixture Problems	214	(7)
Reading Graphs and Charts	221	(16)
Graphing Pre-Test	221	(1)
Picture Graphs	222	(3)
Bar Graphs	225	(3)
Line Graphs	228	(4)
Circle Graphs	232	(4)
Graphing Post-Test	236	(1)
Geometry	237	(32)
Geometry Pre-Test	237	(1)
Some Very Basic Definitions	238	(2)
Types of Angles and Angle Measurement	240	(1)
Triangles	241	(2)
Quadrilaterals	243	(2)
Special Features of Parallelograms	244	(1)
Other Polygons	245	(1)
Area and Perimeter	245	(7)
Area of a Rectangle	246	(1)
Area of a Square	247	(1)
Height and Perpendiculars Defined	247	(1)
Area of a Parallelogram	248	(1)
Area of a Triangle	249	(1)
Area of a Trapezoid	250	(2)
Circles	252	(6)
Coordinate Axes	258	(1)
Graphing Linear Equations	259	(2)
Writing an Equation from the Slope and Y-Intercept	261	(1)
Finding an Equation from Two Points	262	(2)
The Pythagorean Theorem	264	(1)
The Distance Between Points on a Graph	265	(2)
Geometry Post-Test	267	(2)
Additional Exercises for Practice	269	(20)
Whole Numbers	269	(8)
Fractional Numbers	277	(2)
Decimal Fractions	279	(2)
Algebra	281	(8)
PART THREE: Sample Exams
Sample GED Mathematics Test I	289	(20)
Sample GED Mathematics Test II	309