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EXAMPLE 2     Evaluate an expression

 Movies

 The total cost of seeing a movie at a theater can be
 represented by the expression a + r where a is the
 cost (in dollars) of admission and r is the cost (in
 dollars) of refreshments. Suppose you pay $7.50 for
 admission and $7.25 for refreshments. Find the total
 cost.
EXAMPLE 2      Evaluate an expression

 SOLUTION

 Total cost = a + r             Write expression.

            = 7.50 + 7.25       Substitute 7.50 for a and
                                7.25 for r.

            = 14.75             Add.

 ANSWER

 The total cost is $14.75
EXAMPLE 3      Read and write powers

 Write the power in words and as a product.

 Power          Words                          Product

 a.   71        seven to the first power       7

 b.   52        five to the second power,      5 5
                or five squared

      1    3                                   1 1 1
 c.             one half to the third power,
      2                                        2 2 2
                or one half cubed

 d.   z5        z to the fifth power           z z z z z
GUIDED PRACTICE            for Examples 2 and 3



5. WHAT IF? In Example 2, suppose you go back to the
theater with a friend to see an afternoon movie. You pay
for both admissions.Your total cost (in dollars) can be
represented by the expression 2a. If each admission
costs $4.75, what is your total cost?



ANSWER

The total cost is $9.50.
GUIDED PRACTICE      for Examples 2 and 3

Write the power in words and as a product.

Power      Words                            Product

6.   95    Nine to the fifth power          9 9 9 9 9


7.   28    Two to the eighth power          2 2 2 2 2222


8.   n4    n to the fourth power            n n n n

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Algebra 1 3

  • 1. EXAMPLE 2 Evaluate an expression Movies The total cost of seeing a movie at a theater can be represented by the expression a + r where a is the cost (in dollars) of admission and r is the cost (in dollars) of refreshments. Suppose you pay $7.50 for admission and $7.25 for refreshments. Find the total cost.
  • 2. EXAMPLE 2 Evaluate an expression SOLUTION Total cost = a + r Write expression. = 7.50 + 7.25 Substitute 7.50 for a and 7.25 for r. = 14.75 Add. ANSWER The total cost is $14.75
  • 3. EXAMPLE 3 Read and write powers Write the power in words and as a product. Power Words Product a. 71 seven to the first power 7 b. 52 five to the second power, 5 5 or five squared 1 3 1 1 1 c. one half to the third power, 2 2 2 2 or one half cubed d. z5 z to the fifth power z z z z z
  • 4. GUIDED PRACTICE for Examples 2 and 3 5. WHAT IF? In Example 2, suppose you go back to the theater with a friend to see an afternoon movie. You pay for both admissions.Your total cost (in dollars) can be represented by the expression 2a. If each admission costs $4.75, what is your total cost? ANSWER The total cost is $9.50.
  • 5. GUIDED PRACTICE for Examples 2 and 3 Write the power in words and as a product. Power Words Product 6. 95 Nine to the fifth power 9 9 9 9 9 7. 28 Two to the eighth power 2 2 2 2 2222 8. n4 n to the fourth power n n n n