1. Warm-up October 2, 2017 1.) Evaluate this expression when a = 10
3a + 7 – 4a + 11
2.) Simplify the following expression.
8y – 3z + 2 – 10y + 5z + 2
3.) Solve for x x – 3 = 8
4.) Solve for d d – 4 = −16

2. Class work (HW if you don’t finish)
Page 213, problems 1 thru 6, 8 and 9
Page 214, problems 13 and 16
READ pages 217 thru 220 and complete the Guided Practice Problems
Work on your Study Guide

3. October 6
Solving equations PPT

4. Distributive Property
A ( B + C )
Outside has to meet all the inside
A(B) + A(C)
Do not change any operation signs
5 ( B + 3 ) = 5B + 15
4 ( G – 2 ) = 4G - 8

5. Adding linear expressions
(5B + 3V) + (4B + 6V)
If there is an addition sign between the ( ) then you can just eliminate the ( ).
Do not change any operational signs or the sign of any number.
5B + 3V + 4B + 6V
Then combine (simplify) 9B + 9V
(remember the invisible 1?)

6. Subtracting linear expressions
(5H + 2A ) – (3H + A)
If there is a subtraction sign between the ( ) then don’t change anything in the first ( ), BUT change everything inside the second ( ).
5H + 2A - 3H – A then combine like terms (simplify)
2H + 1A or 2H + A
The subtraction sign goes away.

7. One-Step equations Identify the variable
Figure out what operation is being done to the variable (+, -, X, or ÷ )
Perform the opposite operation on BOTH sides of the equation (Properties of Equality) – remember the operation has a number with it
T + 5 = operation is adding 5
T + 5 – 5 = 15 – 5 so T = 10

8. Two-step equations Label variable Label constant side of equation
Move the piece that is NOT labeled – do the opposite/inverse operation
Re-write as a one-step equation
Undo what’s being done to the variable – do the opposite/inverse operation
Doneski!!

9. Words to expressions Addition N plus 7 Add 7 to a number (N)
7 more than a number (N)
The sum of 7 and a number (N)
All are N + 7

10. Subtraction
K minus 7
7 less than K
The difference between K and 7
Subtract 7 from a number (K)
All are K - 7

11. Multiplication
2 times a number (P)
The product of 2 and a number (P)
Twice a number (P)
Multiply 2 times a number (P)
All are 2P

12. Division
The quotient of B and 9
A number (B) divided by 9
One ninth a number (B)
Divide a number (B) by 9
All are B/9

13. Class work (HW if you don’t finish)
Page 213, problems 1 thru 6, 8 and 9
Page 214, problems 13 and 16
READ pages 217 thru 220 and complete the Guided Practice Problems
Work on your Study Guide