About the SAT ............................................................................................................................. vii
1.
... [Show More] Operations with Whole Numbers and Decimals .................................................................1
Diagnostic Test • Addition of Whole Numbers • Subtraction of Whole Numbers •
Multiplication of Whole Numbers • Division of Whole Numbers • Addition or
Subtraction of Decimals • Multiplication of Decimals • Division of Decimals • The
Laws of Arithmetic • Estimating Answers • Retest • Solutions to Practice Exercises
2. Operations with Fractions ...................................................................................................19
Diagnostic Test • Addition and Subtraction • Multiplication and Division • Simplifying
Fractions • Operations with Mixed Numbers • Comparing Fractions • Retest • Solutions
to Practice Exercises
3. Verbal Problems Involving Fractions ..................................................................................39
Diagnostic Test • Part of a Whole • Finding Fractions of Fractions • Finding Whole
Numbers • Solving with Letters • Retest • Solutions to Practice Exercises
4. Variation ................................................................................................................................53
Diagnostic Test • Ratio and Proportion • Direct Variation • Inverse Variation • Retest •
Solutions to Practice Exercises
5. Percent ...................................................................................................................................69
Diagnostic Test • Fractional and Decimal Equivalents of Percents • Finding a Percent of
a Number • Finding a Number When a Percent Is Given • To Find What Percent One
Number Is of Another • Percents Greater Than 100 • Retest • Solutions to Practice
Exercises
6. Verbal Problems Involving Percent ....................................................................................85
Diagnostic Test • Percent of Increase or Decrease • Discount • Commission • Profit and
Loss • Taxes • Retest • Solutions to Practice Exercises
7. Averages ..............................................................................................................................103
Diagnostic Test • Simple Average • To Find a Missing Number When an Average Is
Given • Weighted Average • Retest • Solutions to Practice Exercises
8. Concepts of Algebra—Signed Numbers and Equations .................................................115
Diagnostic Test • Signed Numbers • Solution of Linear Equations • Simultaneous
Equations in Two Unknowns • Quadratic Equations • Equations Containing Radicals •
Retest • Solutions to Practice Exercises
9. Literal Expressions .............................................................................................................133
Diagnostic Test • Communication with Letters • Retest • Solutions to Practice Exercises
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10. Roots and Radicals .............................................................................................................143
Diagnostic Test • Addition and Subtraction of Radicals • Multiplication and Division of
Radicals • Simplifying Radicals Containing a Sum or Difference • Finding the Square
Root of a Number • Retest • Solutions to Practice Exercises
11. Factoring and Algebraic Fractions ....................................................................................155
Diagnostic Test • Simplifying Fractions • Addition or Subtraction of Fractions •
Multiplication or Division of Fractions • Complex Algebraic Fractions • Using
Factoring to Find Missing Values • Retest • Solutions to Practice Exercises
12. Problem Solving in Algebra ...............................................................................................171
Diagnostic Test • Coin Problems • Consecutive Integer Problems • Age Problems •
Investment Problems • Fraction Problems • Mixture Problems • Motion Problems •
Work Problems • Retest • Solutions to Practice Exercises
13. Geometry ............................................................................................................................197
Diagnostic Test • Areas • Perimeter • Right Triangles • Coordinate Geometry • Parallel
Lines • Triangles • Polygons • Circles • Volumes • Similar Polygons • Retest • Solutions
to Practice Exercises
14. Inequalities ..........................................................................................................................231
Diagnostic Test • Algebraic Inequalities • Geometric Inequalities • Retest • Solutions to
Practice Exercises
15. Numbers and Operations, Algebra, and Fractions ..........................................................243
16. Additional Geometry Topics, Data Analysis, and Probability ........................................273
Practice Test A ....................................................................................................................313
Practice Test B ....................................................................................................................319
Practice Test C ....................................................................................................................327
Solutions to Practice Tests ................................................................................................ [Show Less]