2. Warm-Up
5. Write & Solve a 1-step equation:
6. Write & Solve a 2-step equation
7. Write & solve an equation with distribution
1. 2 + 5|3 - 7|=
2. (5 + 3)2
- |5 - 27 ÷ 3|=
3. 2 + (7 + |24 - 5 • 6|) =
4. We are half way through the first quarter. Write a fraction
showing the part of the school year we have finished.
3. Class Notes/Practice Problems
Equations with Decimals
Step 1: Combine any constants if easier
Step 2:
Step 3: Solve as Usual
1. 4.6 = 4m - 3.4 2. .25m + .1m = 9.8
3. .5(x -12) = 4
4. Class Notes/Practice Problems
Absolute Value Equations
Know The Rules:|x|= 1; x = 1, -1
Rule: Because the value inside could be positive or
negative, two equations must be written and solved.
Solve:|2x + 5| = 11, Then graph the solution set
2x = 6; x = 3 2x = -16; x = -8
The two equations are:
1. |2x + 5| = 11 2. |2x + 5| = - 11
5. Ex. 3:
Ex. 2: 4|2 - x| = 16
Absolute Value Equations
The two equations are:
1). 8 - 4x = 16; - 4x = 8; x = - 2 2). 8 - 4x = - 16; - 4x = -24; x = 6
|2x - 3|+ 2 = 11; Write the two equations
Solve the 1st equation: |2x - 3|+ 2 = 11; 2x =12; x = 6
Solve the 2nd equation: |2x - 3|+ 2 = -11; 2x = -10; x = - 5
1). 4|2 - x| = 16 2). 4|2 - x| = - 16