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# Evaluating expressions notes

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### Evaluating expressions notes

1. 1. EvaluatingEvaluating ExpressionsExpressions Algebra 1Algebra 1 Vocabulary NotesVocabulary Notes
2. 2. 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.
3. 3. 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
4. 4. 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.
5. 5. 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.
6. 6. 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.
7. 7. 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.
8. 8. 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
9. 9. 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
10. 10. 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
11. 11. 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
12. 12. 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
13. 13. 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
14. 14. 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