1. Introduction
How long does a car traveling at 70 mph take to travel 88 miles, in hours?
How many terms are in the expression: 36x + 27xy – 18y – 9?
5 word prediction. Guess the meanings of the following words: Variable, expression, base, constant, & factor.
1.257 hours 4

2. Skills Check
No notes
Kilo
Hecto
Deka
BASIC
Deci
Centi
Milli

3. Definitions
Identifying Parts

4. Algebraic Expression
Can have variables, numbers, addition, subtraction, multiplication, division, parenthesis, square roots, exponents…
Examples:

5. Variable
Symbols or letters used to represent an unknown
Examples: 

6. Term
How many items are being added, subtracted, divided
Examples: 3 4

7. Like Terms
Same variable raised to the same power
Examples:

8. Coefficient
The number in front of a variable
Examples:
123 9 1

9. Exponent 3 12 4 The number up in the air next to a base
The number of times you multiply something times itself
Examples: 3 12 4

10. Base 2 x y What the exponent sits on
The part that has been raised to a power
Examples: 2 x y

11. Constant -42 5 -8 A number that has no variable
It can be positive or negative
Examples:
-42 5 -8

12. Factors 1 and 6…. Or 2 and 3 9 and x and y (x + 2) and (y – 3)
Items that are being multiplied together
Can be numbers, variables, parenthesis
Examples:
1 and 6…. Or 2 and 3
9 and x and y
(x + 2) and (y – 3)
3 and (z – 9)

13. Order of Operations -18 Simplify inside parenthesis
Take care of exponents
In order from left to right, multiplication or division
In order from left to right, addition or subtraction
Examples:
-18

14. Translations

15. Key Words
A variable is a symbol used to represent a number in an expression or an equation. An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

16. ADDITION
Sum
Plus
Add
More Than
Increased

17. SUBTRACTION
Difference
Minus
Decreased
Less Than (swaps the order)

18. DIVISION
Quotient
Half
Divide by

19. MULTIPLICATION
Product
Twice
Double
Triple

20. EXPONENTS
Square
Cubed
To the power of
Raised to a power

21. Translate
The sum of a number and 10
x + 10

22. Translate
Fourteen decreased by a number p
Seven less than a number t

23. Translate
The product of 9 and x squared
9x2

24. Translate
9 less than g to the fourth power
g4 – 9

25. Translate
8 + 3x
Eight increased by three times x

26. You Try 1 The sum of nine and a number x
The product of 9 and a number n
Thirty-two divided by a number y

27. You Try 2 The difference of 28 and a number
One-third the square root of a number
Fifteen less than twice a number
Seven divided by twice a number
Five more than twice a number
Three times a number decreased by 11
The product of 5 and the cube of a number increased by the difference of 6 and x
Half the sum of x and y decreased by one-third of y

28. Example
Christy has $1000 to distribute to her employees as a bonus. How much money will each employee get? Write an expression for this situation.
Destin’s electric company charges $45 per hour and spends $20 a day on gasoline. Write an algebraic expression to represent his earnings for one day.
Journey makes $100 a day as a math tutor. Write an expression for the amount she makes in d days.

29. Writing Algebraic Expressions Worksheet
HOMEWORK
WORKSHEET
Writing Algebraic Expressions Worksheet