WELCOME TO THE
PRE-ALGEBRA ENRICHED
COURSE DAY 1
Agenda:
- Review Order of
Operations
-- PEMDAS!
- Intro to Expressions
-- with variables
- Practice!
Warm Up!
1.
5 + 15 =
5. 32 ÷ 4 =
2.
32 + 93 =
6. 423 - 623 =
7. 1,000,000 ÷ 0 =
3.
52 x 6 =
8. 208 ÷ 13 =
4.
110 x 35 =
What is PEMDAS?
PEMDAS is the “Order of Operations” that everyone follows when solving
algebraic equations or expressions.
P - Parentheses - First rule is soving what’s inside the parentheses. Ex: (9+3) +
2 = (12) + 2 = 14
E - Exponents - After parentheses are exponents. Ex: 5^7 or 18 ^43
D and M - Division and Multiplication. By convention, whatever comes first
(left to right) will be the first one we’ll do
A and S - Addition and Subtraction. By convention, whatever comes first (left to
right) will be the first one we’ll do
Knowing that...
Practice
1. (19 - 7) ÷ 4 + 11
14
2. 7 x 8 + (24/ 8 x 4)
68
3.
4
4. 5 + 2 (3 + 3 x 13)
161
5. What comes after Parentheses?
Exponents!
What is this called?
What if we take the = sign away?
2+2
This is called an expression.
What’s the difference between the two?
Algebraic Expression
Well… What are variables?
- Algebraic variables are letters that represent unknown/missing values.
What does an Algebraic Expression look like?
How do we
solve them?
How To Solve (or simplify) Algebraic Expressions
(or equations):
Combine Like Terms!
Like Terms are terms that
have the same variable and
power (exponent)
For example:
4x - 2x are like terms since
they share the variable, x.
Therefore we can combine
them and end up with 2x.
Practice - Simplify Each Expression
1. 3x + 4 + 12x - 2
2. -28x + x - 69
Note that ^ is a symbol
used to represent an
exponent
3. 2y + 4(3+2) + x^4 + 29 + 18y
4. x + 2y - 4 + 2z + 3y + 9^2