lesson 3-5: solving equations with the variable on each side
TRANSCRIPT
Lesson 3-5:Solving Equations
with the Variable on Each Side
Objectives- I can solve equations with variables on both sides using multiple steps.
- I can determine when an equation has one solution, no solutions, and all real numbers for solutions.
You will need graph paper at the
beginning of Chapter 4!!!!
Example 1
Solve: -2 + 10p = 8p – 1
– 8p – 8p
-2 + 2p = -1
Example 1
Solve: -2 + 10p = 8p – 1
– 8p – 8p
-2 + 2p = -1
+2 +2
2p = 1
Example 1
Solve: -2 + 10p = 8p – 1
– 8p – 8p
-2 + 2p = -1
+2 +2
2p = 1
p = ½ 2
1
2
2
p
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1)
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w – 6 + 5 = 3w – 3
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w – 6 + 5 = 3w – 3
2w - 1 = 3w – 3
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3
2w – 1 = 3w – 3 – 2w – 2w
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3
2w – 1 = 3w – 3 – 2w – 2w -1 = w – 3
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3
2w - 1 = 3w – 3 – 2w – 2w -1 = w – 3
+ 3 + 3
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3
2w - 1 = 3w – 3 – 2w – 2w -1 = w – 3
+ 3 + 3 2 = w
Example 3
Solve: 8(5c – 2) = 10(32 + 4c)
40c – 16 = 320 + 40c
– 40c – 40c
-16 = 320
No solution
Example 4
Solve:
All Real Numbers
40020204 51 tt
804 t t4 80t4 t4
8080
Homework
Pgs. 152-153: 16-42 Evens