1. Monday, September 24, 2012
Today:
Warm-up: Fast 15, Problems
Warm-Ups, Continued'
Intro. to Equations
Questions Regarding Anything
Class work:
Workbook Units 2-2 & 2-3
All Problems

2. Warm-Up Con't., Equations:
1.
A. 2 + 5 = 7; Solve for 5; 5 = B. Solve for 2; 2 =
C. 14 - 8 = 6; Solve for -8; -8 = D. Solve for 14; 14 =
E. 12/4 = 3; Solve for 4 F. Solve for 12; 12 =
G. (5)(3) = 15; Solve for 5; 5 = H. Solve for 3; 3 =
The rules are the same for variables, because variables
are just numbers we haven't figured out yet. Find x:
2. x + 2 = 7 3. 3x = 15 4. x/3 = 4 5. x - 8 = 6

3. Warm-up, Continued.:
6. Write 4 different equations so that the answer to each
one is x = 5. The first equation should have a sum, the
second a difference, the third a product and the fourth a
quotient.
7. Copy the following problem, then describe in sentence
form, what you would do in order to determine whether
the following is true or false:
x+y = x+y
z z z

4. Warm-Up, continued:
8. Simplify: 23(42 - 6) + 7 - 12 ÷ 4
9. Simplify: 3 - 5(6 + 2)
10. 12 + (-22)
11. Simplify the following:
A. 4 + | 1 - 3| B. |12|•|-4| C. =| -6 + 4| + |3|

5. Warm-Up, continued:
8. Simplify: 23(42 - 6) + 7 - 12 ÷ 4
9. Simplify: 3 - 5(6 + 2)
10. 12 + (-22)
11. Simplify the following:
A. 4 + | 1 - 3| B. |12|•|-4| C. -| -6 + 4| + |3|

6. Warm-Up, continued:
12. Simplify: -4(3x -3) + 9(x + 1)
13. Simplify: 8(-4x - 7) + 3(9 - 9x)
Equations
Because of the equal sign = both sides of the equation
must be balanced, or equal. If you change both sides by
the same amount, they remain balanced. Solving
equations is the most important tool in your algebra
problem solving tool box. The purpose of solving
equations is to find the number value of the variable. To
turn the unknown into the known.

7. Warm-Up: Solving Equations
Adding & Subtracting
1. x + 4 = 10
2. 9 = x - 1
3. 15 = x + 4
Multiplying & Dividing
4. 3x + 4 = 10 5. 9 = 2x - 1
6. 17 + 2x = -63 7. -2x -3x -1 - 5 = 144
8. x/4 = 3 **9. x/12 -4 = 10
9. 2 ways to solve this type of Problem: See board