Basic Mathematics for College Students

To solve application problems, we let a variable stand for an unknown quantity. 642 Chapter 8 An Introduction to Algebra EXAMPLE ...

Evaluate Algebraic Expressions. To evaluate an algebraic expression,we substitute given numbers for each variable and perform th ...

644 Chapter 8 An Introduction to Algebra Caution! When replacing a variable with its numerical value, we must often write the re ...

SAVINGS ACCOUNTS A student inherited $5,000 and deposits dollars in American Savings. Write an expression that represents the a ...

Complete the following table. Determine whether the variable is used as a factoror as a term.See Example 2. Tran ...

for , and for , and for , and for and for and VEHICLE WEIGHTS A Hummer H2 weighs 340 pounds less than twice a Honda Element. a. ...

648 Chapter 8 An Introduction to Algebra SECTION 8.2 Simplifying Algebraic Expressions Objectives 1 Simplify products. 2 Use the ...

Use the distributive property. Another property that is often used to simplify algebraic expressions is the distributive propert ...

Since subtraction is the same as adding the opposite, the distributive property also holds for subtraction. a(bc)abac 650 Cha ...

Caution! The distributive property does not apply to every expression that contains parentheses—only those where multiplication ...

We can use the distributive property to find the opposite of a sum. For example, to find , we interpret the symbol as a factor o ...

Here are several examples. Like terms Unlike terms and and The variables are not the same. and and Same variable, but different ...

We can simplify in a similar way: Use the form:. The Language of Algebra Simplifying a sum or difference of like terms is called ...

8.2 Simplifying Algebraic Expressions 655 Self Check 9 Simplify: Now TryProblem 93 7 y^2  21 y 2 y 6 EXAMPLE (^9) Simplify: S ...

a. Fill in the blanks to simplify the expression. b. What property did you use in part a? a. Fill in the blanks to simplify t ...

Simplify by combining like terms.See Examples 7 and 8. Simplify by ...

658 Chapter 8 An Introduction to Algebra SECTION 8.3 Solving Equations Using Properties of Equality Objectives 1 Determine wheth ...

Use the addition property of equality. To solve an equationmeans to find all values of the variable that make the equation true. ...

660 Chapter 8 An Introduction to Algebra Self Check 3 Solve: a. b. Now TryProblems 39 and 43  20 n 29  5 b 38 Since 5 is o ...

Use the subtraction property of equality. To introduce another property of equality, consider the first scale shown on the right ...