1. 1.1 Variables and Expressions
8/22/16

2. Common Core State Standards
Interpret parts of an expression such as terms, factors, and coefficients.

3. New Terms Algebraic Expression Variable Term Factor Product Power
Exponent
Base

4. Definitions
Algebraic Expressions – Consists of sums, subtractions, quotient and/or products of numbers and variables. It does not have an equal sign in it.
IE 5x + 6, x - 4, (x + 2)

5. Variables
Symbols used to represent unspecified numbers or values. Any letter may be used as a variable.
IE x , y , a, t

6. Term
An expression may be a number, a variable, or a product or quotient of numbers and variables.
IE d, 2x , , a

7. Factors
In a multiplication expression, the quantities being multiplied are factors. The result is the product.
IE xy , x(y) , (x)(y)

8. Product
The answer to a multiplication problem.
IE 3 x 4 = 12

9. Exponent Indicates the number of times the base is used as a factor.IE

10. Base
In an expression of the form xn , the base in x.
IE x3

11. Write a verbal expression for each algebraic expression.
Three times x to the fourth power 5z
5 times z to the second power plus sixteen

12. Write a verbal expression for each algebraic expression
One is less than w 2n
The difference of twice a number cubed and 3

13. Translating Verbal to Algebraic Expressions
Operation Verbal Phrases
Addition more than, sum, plus, increased by, added to
Subtraction Less than, subtract from, difference, decreased, minus
Multiplication Product of multiplied by, times, of
Division quotient of, divided by

14. Write an algebraic for each verbal expression
A number t more than 6.
6 + t or t + 6
10 less than the product of 7 and f
7f - 10