1. 1-1: Variables and Expressions
Essential Skills:
Write verbal expressions for algebraic expressions
Write algebraic expressions for verbal expressions

2. 1-1: Variables and Expressions
Definitions
Algebraic Expression: sums and/or products of numbers and variables
Variable: Symbols used to represent unspecified numbers or values
Any letter can be used as a variable
Term: a number, a variable, or product of number(s) and variable(s)

3. 1-1: Variables and Expressions
Definitions
Factor: The quantities being multiplied together
Product: The result of quantities being multiplied together
Power: An expression that contains a base and an exponent
Exponent: The number of times the base is multiplied together
In the expression xn, x is the base, n is the exponent

4. 1-1: Variables and Expressions
Write a verbal expression for the following
8x2
Eight times x squared
y5 – 16y
y to the fifth power minus sixteen times y
Your Turn
7a4
7 times a to the fourth power
x2 + 3
x squared added to 3

5. 1-1: Variables and Expressions
Operation
Addition
Subtraction
Multiplication
Division
Verbal Phrases
More Than
Sum
Plus
Increased By
Added To
Less Than
Subtracted From
Difference
Decreased By
Minus
Product Of
Multiplied By
Times Of
Quotient Of
Divided By

6. 1-1: Variables and Expressions
Write a algebraic expression for the following
5 less than a number c
c – 5
9 plus the product of 2 and d
9 + 2d
Two fifths of the area a
2/5 a

7. 1-1: Variables and Expressions
Write a algebraic expression for the following
Your Turn
9 more than a number h
9 + h
The difference of 6 and 4 times a number x
6 – 4x
One half the size of the original perimeter p
½ p

8. 1-1: Variables and Expressions
Word Problem
Mr. Nehru bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost of the tickets.
Let “a” be the cost of each adult ticket and “c” be the cost of each student ticket. The cost of the adult tickets is 2a and the cost of the student tickets is 3c
2a + 3c

9. 1-1: Variables and Expressions
Your Turn
Lorenzo bought a bag of peanuts that cost p dollars and he gave the cashier a $20 bill. Write an expression for the amount of change that he will receive.
20 – p

10. 1-1: Variables and Expressions
Assignment
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