1.1 evaluating expressions
TRANSCRIPT
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equivalentANSWER
2, 3ANSWER
Prerequisite Skills VOCABULARY CHECK
Copy and complete the statement.
23
1. In the fraction , is the numerator and is the denominator.
? ?
2. Two fractions that represent the same number are called fractions.?
100ANSWER
3. The word percent (%)means “divided by .”
?
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Prerequisite Skills SKILLS CHECK
Perform the indicated operation.
4. +23
35
5. –56
34
6. 35
25
7. 12
58
ANSWER 1
154
ANSWER 112
ANSWER 25
ANSWER 45
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9. 23%
8. 4%
Prerequisite Skills SKILL CHECK
Write the percent as a decimal.
ANSWER 0.23
ANSWER 0.015
0.04ANSWER
10. 1.5%
11. 2.5% ANSWER 0.025
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Section 1.1Evaluating Expressions
• This chapter introduces a lot of vocabulary and basic concepts for algebra.
• Vocabulary will play a very important role in this class.
• You are expected to take notes over both vocab. and examples.
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Section 1.1 Evaluating Expressions
• Key Vocabulary– Variable– Algebraic expression (variable expression)– Power– Base– Exponent– Squared & Cubed
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Substitute 3 for n.Multiply.= 39
Subtract.= 2Substitute 3 for n.
Substitute 3 for n.
= 3 Divide.
EXAMPLE 1 Evaluate algebraic expressions
Evaluate the expression when n = 3.
a. 13 n = 13 3
93
b. 9n
=
c. n – 1 =
Substitute 3 for n.
Add.= 11 d. n + 8 =
3 – 1
3 + 8
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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.
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Add.
The total cost is $14.75
ANSWER
Substitute 7.50 for a and 7.25 for r.
= 14.75
= 7.50 + 7.25
Write expression.Total cost =
EXAMPLE 2 Evaluate an expression
SOLUTION
a + r
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EXAMPLE 4 Evaluate powers
Evaluate the expression.
a. x4 = 24
= 16= (1.5)(1.5)(1.5)= 3.375
= 2 2 2 2b. n3 = 1.53
b. n3 when n = 1.5
SOLUTION
a. x4 when x = 2
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GUIDED PRACTICE for Example 4
Evaluate the expression.
9. x3 when x = 8
9. x3 = 83
= 512= (2.5)(2.5)(2.5)= 15.625
= 8 8 810. k3 = 2.53
10. k3 when k = 2.5
SOLUTION
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SOLUTION
EXAMPLE 5 Evaluate a power
Storage cubes
Write formula for volume.
= 143 Substitute 14 for s.
= 2744 Evaluate power.
Each edge of the medium-sized pop-up storage cube shown is 14 inches long. The storage cube is made so that it can be folded flat when not in use. Find the volume of the storage cube.
V = s3
The volume of the storage cube is 2744 cubic inches.
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• Assignment: P. 5 1,2, 4-44 evens only, 49-52 all
Put some work on your paper – show where the answer came from.
Use a calculator only when large numbers are involved (like 64) – otherwise, use that calculator in your head!!