1. Entry Task Find the next three numbers 101,92,83,74…..
Now create your own pattern, see if you can stump me.

2. 1-3 Algebraic Expressions
Learning Target:
Evaluate and simplify algebraic expressions.

3. Expressions & Formulas
Review
Expressions & Formulas
ORDER OF OPERATIONS
Parentheses
Exponents
Multiply/Divide from left to right
Add/Subtract from left to right

4. Order of Operations Simplify: [9 ÷ (42 - 7)] - 8
Review
Order of Operations
Simplify: [9 ÷ (42 - 7)] - 8
Exponents [9 ÷ (16 - 7)] - 8
Parentheses [9 ÷ (9)] - 8
Divide [ 1 ] - 8
Subtract

5. Properties

6. Algebraic Expressions
An expression that is a number, a variable or the product of a number and one or more variables is a term.
An algebraic expression is an expression that contains at least one variable.
-4ax + 7w - 6
Coefficient is the numerical factor of a term
constant has no variables

7. Modeling words with algebraic expressions
Seven fewer than a number y
y – 7
two times the sum of a and b
2(a + b)

9. Modeling a situation Savings
You start with $20 and save $6 each week. What algebraic expressions models the total amount you save?
relate (write using words),
define (assign variables),
write (use numbers, operations and variables)
20 + 6w

10. Algebraic Expressions
How do you evaluate expressions?
You can evaluate an algebraic expression by replacing each variable with a value and then applying the Order of Operations.

11. Example: Evaluate a(5a + 2b) if a=3 and b=-2
Substitute the values into the expression.
3[5(3) + 2(-2)]
Now apply the Order of Operations:
Inside the brackets, perform multiplication and division before addition and subtraction
5(3) = 15 and 2(-2)= -4
3[ ] then = 11
3[11] = 33

12. Expressions Evaluate: a[b2(b + a)] if a = 12 and b= 1
Substitute: [12(1 + 12)]
Parentheses: [12(13)]
Exponents: [1(13)]
Parentheses: [13]
Multiply:

13. Expressions – like terms
Like terms have the same variable raised to the same power.
3x2 + 5x2 + 9y3x + 2 – 4y3x

14. Simplify Algebraic Expressions
1. 7x2 + 3y2 + 2y2 – 4x2 =3x2 + 5y2 2. -(3k + m) + 2(k – 4m) = - k – 9m

15. Assignment
P. 22 #11-43 odds

16. Solving Equations
To solve an equation, find replacements for the variables to make the equation true.
Each of these replacements is called a solution of the equation.
Equations may have {0, 1, 2 … solutions.

17. Solving Equations
3(2a + 25) - 2(a - 1) = 78
4(x - 7) = 2x x

18. Solving Equations
Solve: V = πr2h, for h
Solve: de - 4f = 5g, for e