1. ALGEBRA

2. Definitions
Variable – A variable is a letter or symbol that represents a number.
3 + n = 5

3. Definitions A variable can use any letter of the alphabet. y + 3
x – 15
w - 345

4. Definitions
Coefficient - A number or symbol multiplied with a variable or an unknown quantity in an algebraic term, as 4 in the term 4x.
Tells us how MANY variables.
3x = 12
3 is the coefficient. It tells us there are 3 x’s.

5. Definitions
Algebraic expression – a group of numbers, symbols, and variables that express an operation or a series of operations.
m + 8
r – 3

6. Definitions
Evaluate an algebraic expression – To find the value of an algebraic expression by substituting numbers for variables.
f + 8 f = 4 (4) + 8 = 12
d – 6 d = 3 (3) – 6 = -3

7. Definitions Simplify – Combine like terms and complete all operations
Solve if m = 7
m m
2 m + 3
2(7) + 3
= 17

8. Words That Mean Addition
Sum
More than
Increased
Plus
Altogether

9. Words That Mean Subtraction
Decreased
Less
Difference
Minus
How many more

10. Write Algebraic Expressions for These Word Phrases
Check
n + 10
Ten more than a number
A number decrease by 5
6 less than a number
A number increased by 8
The sum of a number & 9
4 more than a number
n - 5
n - 6
n + 8
n + 9
n + 4

11. Write Algebraic Expressions for These Word Phrases
Check
A number plus 2
A number decrease by 1
31 less than a number
A number increased by 7
The sum of a number & 6
9 more than a number
n + 2
n - 1
n - 31
n + 7
n + 6
n + 9

12. Evaluate each algebraic expression when x = 10
Check
x + 8
x + 49
x + x
x - x
x - 7
42 - x 18 59 20 3 32

13. Complete This Table by Substitution
Example if x is 3, then x - 5 would be (3) – 5 = -2 x
x - 5 5 7 22 35 2 17 30

14. Complete This Table Using Substitutionx
x + 9 5 7 22 35 14 16 31 44

15. Write an Algebraic Expression for These Situations
Scott’s brother is 2 years younger than Scott
The sum of two numbers is 21
The difference between two numbers is 3
s - 2
x + y = 21
m – n = 3