1. Clear your desk except for paper/pencil Copy the DATE and TOPIC
DATE: August, 3(7) + 70
TOPIC: Solve basic equations mentally. Simplify expressions
AGENDA:
Warm-up
Solve equations mentally
Independent Practice
Review simplifying equations
Quiz on equations(10 min)

2. Unit 1 rules
No decimal answers unless given a problem with decimals, a word problem or graphing. Integers or reduced fraction answers only!
A positive number is an adding number. ex. 8 + x or x + 8
The opposite of a positive or adding number is to subtract the number. ex. in 8 + x or x + 8, the opposite is subtract 8
A negative number is a subtracting number. ex. 3x – 7 is the same as x
The opposite of a negative number or subtracting is to add the number (without the negative).
ex. in 3x – 7 or x, the opposite is add 7
The coefficient of the variable becomes a divider. Dividers do
not change sign.

3. TRAIN YOUR BRAIN to solve 1 and 2 step equations efficiently!
3x + 7 = x = 13
x – 8 = -4
12 = 6 – 2x interim x = -1
The equals sign divides the equation into two sides
Identify the equal sign; the number of terms per side ; the constant and the coefficient.

4. Steps to solve basic equations efficiently
Circle the variable
Begin (B) opposite (O) divide (D)
On the opposite side of variable
Opposite sign of constant
Divide by the coefficient (divider)
Does not change sign
Does not change sign

5. = 5 2 D D B B Example 1: 5 + 3x = 14 Example 3: 6x – 10 = 5 x = 15 6D B B
Example 1:
5 + 3x = 14
Example 3:
6x – 10 = 5
x = 15 6
= 5 2
x = 3 D B B D
Example 2:
3x = -6
Example 4:
-8 = 1 – 3x
Fix and add more for practice
x = -2
3 = x
Copy examples

6. D D B B
Example 5:
Example 7:
4x = -14
5x – 7 = -22
x = - 3
x = − 14 4
= − 7 2 D B D B
Example 6:
- x + 7 = -3
Example 8: 1
1 – 7x = 20
x = 10
x = − 19 7

7. D B D B Example 9: x + 2 = 0 1 Example 11: x – 4 = -4 1 x = 0 x = -2 BB D B
Example 9:
x + 2 = 0 1
Example 11:
x – 4 = -4 1
x = 0
x = -2 B D B D
Example 12:
-8 = 8 – 2x
Example 10:
12 = x + 7 1
Fix and add more examples for practice
Instructions: Circle the variable term. Focus on the =. Start on the other side of the variable. Do the opposite of any number outside circle. Always divide last.
8 = x
5 = x

8. D B
3 – 7x = 3
Example 13:
x = 0 B D
-7 = -3 – 2x
Example 14:
2 = x

9. Simplifying EXPRESSIONS
Combining like terms
Distributive property
Distribute with combining
3x + 5 – 7x + 2
-4x + 7
10 – 2x + 5x – 8
3x – 7 + 4x – 1
6 + 6x – 2 + 3
10x + 7x – 2 – 2x
4x – 2 – 3x + 7
3(x + 5) – 2
3x + 15 – 2
3x + 13
3(3 – 2x) – 8
2(3x – 7) + x
-2(x – 2) + 3
4(2 + 5x) – 2x
5(x + 2) – 7
-3(2x – 5)
-6x + 15
2(3x – 5)
-2(3x + 1)
6(2x + 2)
-(3x – 4)
-3(2x + 7)
Answers
3x + 2
7x – 8
6x + 7
15x – 2
x + 5
Answers
6x – 10
-6x – 2
12x + 12
-3x + 4
-6x – 21
Answers
-6x + 1
7x – 14
-2x + 7
18x + 8
5x + 3

11. Name ________________________________________________ Date _______________ Per ______
Exit Slip
1. 4x – 10 = 2
x =
= 6x + 2
x = 5
– 5x = 3
– 2x = -1
6. 5x – 24 = 0
7. 7x – 1 = 13
8. 2x – 7 = -1
x + 1 = 1
= 8x – 16
= x
12. 3x – 4 = -23
x + 8 = 98
x – 2 = 97
= 1 + 3x x=
16. X + 3 = 19
x = 10
x + 4 = 0
= x + 10
= 6x
21. X – 11 = 11
x = 2
= 5x
24. 8x = 4
x = -2
Name ________________________________________________ Date _______________ Per ______
Exit Slip
1. 4x – 10 = 2
x =
= 6x + 2
x = 5
– 5x = 3
– 2x = -1
6. 5x – 24 = 0
7. 7x – 1 = 13
8. 2x – 7 = -1
x + 1 = 1
= 8x – 16
= x
12. 3x – 4 = -23
x + 8 = 98
x – 2 = 97
= 1 + 3x x=
16. X + 3 = 19
x = 10
x + 4 = 0
= x + 10
= 6x
21. X – 11 = 11
x = 2
= 5x
24. 8x = 4
x = -2
Name ________________________________________________ Date _______________ Per ______
Exit Slip
1. 4x – 10 = 2
x =
= 6x + 2
x = 5
– 5x = 3
– 2x = -1
6. 5x – 24 = 0
7. 7x – 1 = 13
8. 2x – 7 = -1
x + 1 = 1
= 8x – 16
= x
12. 3x – 4 = -23
x + 8 = 98
x – 2 = 97
= 1 + 3x x=
16. X + 3 = 19
x = 10
x + 4 = 0
= x + 10
= 6x
21. X – 11 = 11
x = 2
= 5x
24. 8x = 4
x = -2
CAN BE DONE IN 5 MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Not using calculators, answers can be fractions