1. Symbols, Variables, and Types of Sentences used in Algebra.
Equalities
Inequalities
<
Is less than =
Equals- is the
same as
>
Is greater than
Congruent- same
size and shape
Is less than or
equal to
Approx. equal to
Similar- same
shape =
Not equal to

2. What is a variable? A variable represents an unknown value.
1) 3 + ___ = 10
2) = 9
These are all
variables
3) x = 12
4) = 8

3. Expressions vs. Equations
Sentences
Expressions
Equations
Inequalities
2 + 3
2 + 3 = 5
9 - 5 > 3
5(8) - 4
Numerical
4 + 2(3) = 10
X - 4 = 13
X + 7
6y - 4 < 8
Variable
8 - 3y
11= 3 + 2m
Open sentences
Open sentences have solutions and can be solved.

4. - 4 - 4 - 5 - 5 Open sentences have solutions and can be solved.
Variable Equations
Variable Inequalities
4 + m = 7
5 + y < 91
m = 3
y < 86
Solutions

5. Identify each as an expression, sentence,
open sentence, equation, or inequality.
1) 3x + 5 = 11
Sentence, open sentence, equation
2) 7 < 2(5) + 3
Sentence, inequality
3) 5(3) - 2
Expression
4) 6m + 2 > 3
Sentence, open sentence, inequality

6. Multiplication and Division Symbols
Ways to Multiply
Ways to Divide
8 4
5 x 7 8
5 7 4
5(7)
8 / 4
5 7
With variables...
5 x 4 8 5x
5axy

7. Squares vs. Square Roots

8. Solve the following: or
One Solution
Two Solutions

9. Follow the pattern!
True if x is positive.
Not true if x is negative.

10. Follow the pattern!
True Always!

11. Solved a different way:
One Solution or
Two Solutions