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EvaluatingEvaluating
ExpressionsExpressions
Algebra 1Algebra 1
Vocabulary NotesVocabulary Notes
VariableVariable
 A letter used to represent one or more numbers.A letter used to represent one or more numbers.
 Example: x, y, z, k, m, n, etc.Example: x, y, z, k, m, n, etc.
Algebraic ExpressionAlgebraic Expression
 Is an expression that includes at least oneIs an expression that includes at least one
variable.variable.
 Ex: x+3, 2y, x+zEx: x+3, 2y, x+z
Evaluating an ExpressionEvaluating an Expression
 To solve (perform the operation) the expressionTo solve (perform the operation) the expression
 By substituting for each variable.By substituting for each variable.
PowerPower
 An expression that represents repeatedAn expression that represents repeated
multiplication of the same factor. It can bemultiplication of the same factor. It can be
written using a base and an exponent.written using a base and an exponent.
BaseBase
 Is the factor multiplied in a power operation.Is the factor multiplied in a power operation.
 Example:Example:
YY44
= y . y . y . y= y . y . y . y
The Y is called the base.The Y is called the base.
ExponentExponent
 Represents the number of times that the baseRepresents the number of times that the base
should be multiplied.should be multiplied.
Example:Example:
YY44
= y . y . y . Y= y . y . y . Y
The 4 is called the exponent.The 4 is called the exponent.
Guided PracticeGuided Practice
Evaluate the expression when n=4.Evaluate the expression when n=4.
1. 111. 11·· nn 2. 12/n2. 12/n 3. n-33. n-3
CheckpointCheckpoint
Evaluate the expression when y=8.Evaluate the expression when y=8.
1. 7y1. 7y 2. y÷22. y÷2 3. 10 – y3. 10 – y 4. y + 64. y + 6
Guided PracticeGuided Practice
Write the power in words and as a product.Write the power in words and as a product.
POWERPOWER WORDSWORDS PRODUCTPRODUCT
121211
2233
(1/4)(1/4)22
aa44
CheckpointCheckpoint
 Write the power in words and as a productWrite the power in words and as a product
POWERPOWER WORDSWORDS PRODUCTPRODUCT
7755
(1/3)(1/3)22
(1.4)(1.4)33
xx55
Guided PracticeGuided Practice
Evaluate the expression:Evaluate the expression:
1. y1. y33
when y=3when y=3 2. a2. a55
when a=1.2when a=1.2
CheckpointCheckpoint
Evaluate the expression:Evaluate the expression:
1. t1. t22
when t=3when t=3 2. m2. m55
when m=1/2when m=1/2
INDEPENDENT PRACTICEINDEPENDENT PRACTICE
 Algebra 1 book, page 5Algebra 1 book, page 5
Problems: 10, 12, 19, 22, 32, 35, 38, 40, 42, 44Problems: 10, 12, 19, 22, 32, 35, 38, 40, 42, 44

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Evaluating expressions notes