As you read through an example problem, pay attention to the margin notes , such as Helpful Hints, Reading Math notes, and Caution notes. These notes will help you understand concepts and avoid common mistakes. Read ( 4)3 as “ 4 to the 3rd power” or “ 4 cubed. The glossary is found in the back of your textbook. Use it to find definitions and examples of unfamiliar words or properties. The index is located at the end of your textbook. Use it to find the page where a particular concept is taught.
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The Skills Bank is found in the back of your textbook. These pages review concepts from previous math courses. Try This Use your textbook for the following problems. 1. Use the glossary to find the definition of absolute value. 2. Where can you review the order of operations? 3. On what page can you find aanswers to exercises in Chapter 2? 4.
Use the index to find the page numbers where algebraic expressions, monomials, and volume of prisms are explained. Principles of Algebra 5 1-1 California Standards AF1. 2 Use the correct order of operations to evaluate algebraic expressions such as 3(2x 5)2. AF1. 4 Use algebraic terminology (e. g. , variable, equation, term, coefficient, inequality, expression, constant) correctly. Evaluating Algebraic Expressions Why learn this? You can evaluate an expression to convert a temperature from degrees Celsius to degrees Fahrenheit. (See Example 3. ) An expression is a mathematical phrase that contains operations, numbers, and/or variables.
A variable is a letter that represents a value that can change or vary. There are two types of expressions: numerical and algebraic. A numerical expression does not contain variables. Numerical Expressions 3 27 2 18 4(5) 3 4 Vocabulary expression variable numerical expression algebraic expression evaluate An algebraic expression contains one or more variables. Algebraic Expressions x p 2 r 4n x 4 To evaluate an algebraic expression, substitute a given number for the variable. Then use the order of operations to find the value of the resulting numerical expression.