Math Word Problems

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Chapter 1: Translating Expressions.

Keywords of Basic Mathematical Operations.

Addition keywords.

Subtraction keywords.

Multiplication keywords.

Division keywords.

Keywords That Indicate a Change in Order.

Basic turnaround words.

Addition turnaround words.

Subtraction turnaround words.

Multiplication turnaround words.

Division turnaround words.

Chapter 2: Inserting Parentheses.

Translating a Comma and IS.

Leading Keywords.

Adjacent Keywords.

Turnaround Words.

Chapter 3: Simplifying Expressions.

Distributive Property of Multiplication over Addition.

Combining Like Terms.

Distributing a Negative Number.

Chapter 4: Equations.

Keywords Indicating Equality.

Solving Simple Linear Equations.

Defining an algebraic expression.

Defining an algebraic equation.

Four steps for solving simple linear equations.

Checking Solutions and Translations.

Checking solutions.

Checking your translation.

Chapter 5: Geometry Problems.

Triangles.

Perimeter of a triangle.

Area of a triangle.

Sum of the measures of the angles.

Rectangles and Squares.

Perimeter of a rectangle.

Area of a rectangle.

Perimeter of a square.

Area of a square.

Multiple Shapes.

Other Easily Visualized Word Problems.

Chapter 6: Proportions and Percents.

Proportion Problems.

Proportion Word Problems.

Percent Problems.

Percent Word Problems.

Chapter 7: Summation Problems Using the Board Method.

Simple Board Problems.

Consecutive Integers.

Consecutive Even and Odd Integers.

Other Problems that Can Be Represented with a Board.

Chapter 8: Solving Word Problems Using Tried-and-True Methods.

Polya’s Four-Step Process.

Expanding on Polya’s four steps.

The five steps of the tried-and-true methods.

Consecutive Integers.

Consecutive Even and Odd Integers.

Other Problems that Cannot Be Represented with a Board.

Chapter 9: Systems of Equations Using the Board Method.

Money Problems.

Investment Problems.

Mixture Problems.

Distance Problems.

Chapter 10: Systems of Equations Using Tried-and-True Methods.

Money Problems.

Investment Problems.

Mixture Problems.

Distance Problems.

Chapter 11: Common Errors.

Variable Omission.

Variable Reversal.

Methods for Avoiding Common Errors.

A firm foundation.

Errors in translation.

Errors in solving an equation.

Errors in answering the question.

CQR Review.

CQR Resource Center.

Glossary.

Index.