1. Drill #2 The sum of 18, negative 8, and 5.5.
The quotient of 82 and -4.
The square of the product of 2 squared and 3.
The difference of negative 16 and negative 5.

2. 1-1 Variables and Expressions
Objective: To translate verbal expressions into mathematical expressions and vice versa.

3. Variables**
Definition: Symbols that are used to represent unspecified numbers. Any letter may be used to represent a variable.
Examples:
d r x t y a b c

4. Distance = rate * time If d = r * t complete the following table: d r? 3 2 6 10

5. Algebraic Expression**
An expression that contains at least one variable.
Examples:

6. Factors and product** Factors: Quantities being multiplied.
Product: The result of multiplication

7. Verbal Expression**
An expression in English that represents an algebraic expression.
Examples:
Eight less than a twice a number.
Twice a number decreased by eight.
The difference of twice a number and eight.

8. Words for Addition Words for Subtraction More than Increased by
The sum of
Is added to
Words for Subtraction
Less than
Decreased by
The difference of
Is subtracted from

9. Words for Multiplication
The product of
Twice (thrice) a number
Is multiplied by
Words for Division
The quotient of
Is divided by
Fractions (e.g. one third = divided by 3)

10. Power, base, and exponent**

11. Representations of powers
Symbols
Verbal Expression
Meaning
5 to the first power 5
5 to the second power or 5 squared
5 * 5
5 to the third power or 5 cubed
5 * 5 * 5
5 to the fourth power
5 * 5 * 5 * 5
3 times a to the fifth power
3 * a * a * a * a * a
x to the nth power
x * x * x … * x
n times

12. What happens when we multiply powers?
Why?
When we take a power to a power?

13. Writing verbal expressions
= 15
(6 + 5) 7
2x + 7

14. Writing algebraic expressions
Three times number a the third power
A number t decreased by 6
Two more than twice a number x
The quotient of r and s