This document defines key vocabulary terms in algebra including variables, algebraic expressions, evaluating expressions, powers, bases, and exponents. It provides examples of each term and guides students in evaluating expressions by substituting values for variables and writing powers as products. Students are given practice problems evaluating and expanding expressions into word form and products.

1. EvaluatingEvaluating
ExpressionsExpressions
Algebra 1Algebra 1
Vocabulary NotesVocabulary Notes

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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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