Name: _________________________________________________ Period: ___________ Date: ________________ Variables and Expressions Guide Notes VARIABLES are symbols used to represent unspecified numbers or values. Any letter can be used as a variable. ALGEBRAIC EXPRESSION consists of one or more numbers and variables along with one or more arithmetic operation. Various ways to represent a product of π and π: In each expression above, the quantities being multiplied are called factors, and the result is called the product. Translating Verbal Expression into Algebraic Expression: Addition Plus Sum of More than Increased by Combined Together Total of Added to Subtraction Minus Difference between/of Less than Decreased by Fewer than Multiplication Times Product of Multiplied by Division Divided Quotient of Ratio of Per Out of percent Example: three more than a number π Verbal Expression: three more than a number π Algebraic Expression: Sample Problem 1: Write each expression algebraically. a. The product of 8 and a number π b. The difference between 16 and π squared c. The sum of 7 and π d. π divided by three e. Four times eight plus π POWER is an expression that represents repeated multiplication of the same factor. where: π = base π = exponent, which corresponds to the number of times the base is used as a factors Copyright © Algebra1Coach.com 1 Name: _________________________________________________ Period: ___________ Date: ________________ Variables and Expressions Guide Notes Symbol Words Meaning ππ π to the first power π ππ π to the second power π⋅π ππ π to the third power π⋅π⋅π ππ π to the fourth power π⋅ π⋅ π ⋅π ππ π to the fifth power π⋅π⋅π⋅π ⋅π πππ π times π to the sixth power π ⋅ π ⋅ π ⋅π ⋅ π ⋅ π ⋅ π ππ π to the πth power π ⋅ π ⋅ π ⋅π ⋅ π ⋅ …⋅ π Example: ππ Power: ππ = π⋅π ⋅π⋅π⋅π⋅π Base: Exponent: Sample Problem 2: Find each value. a. ππ = π⋅π =π b. ππ = π⋅π ⋅π = ππ c. ππ = π⋅π = ππ π d. π = π⋅π = ππ e. ππ = π ⋅ π ⋅ π ⋅ π = ππ Translating Algebraic Expression into Verbal Expression: Example: 4m Algebraic Expression: 4 ⋅ Verbal Expression: Sample Problem 3: Write a verbal expression for each algebraic expression. a. π − π b. π + π π c. π d. ππ e. πππ − π Copyright © Algebra1Coach.com 2 π
