1. 1.) (x - 3)/4 = 6 2.) x/3 + 4 = 10 3.) 2a - 3 = 5a - 9 4.) 2(3 - x)
Bellwork 10/12
Solve and Check: (Show your work)
1.) (x - 3)/4 = 6
2.) x/3 + 4 = 10
3.) 2a - 3 = 5a - 9
Simplify:
4.) 2(3 - x)
5.) 3(6 - 2y)

2. Bellwork 10/12 4.) 2(3 - x) 5.) 3(6 - 2y) Solve and Check:
3.) 2a - 3 = 5a - 9
4.) 2(3 - x)
5.) 3(6 - 2y)
Solution
Check
x = 27
6=6
x = 18
10=10
2 = a
1 =1
Simplify
6 - 2x
18 - 6y

3. To be able to solve equations with fractions and decimals.
Today’s Objective
To be able to solve equations with fractions and decimals.

4. Multiply by 100
Example #1
Why 100 ?
3.57x = .23x
(100)3.57x-37.40=.23x+8.32(100)
357x = 23x + 832
357x -23x = 23x -23x + 832
334x = 832
334x =
334x = 4572

5. Example #1
334x = 4572
334x/334 = 4572/334
x  13.69

6. Remove the decimal points
Now you try this
Remove the decimal points
x = 3.4x
(10) x = 3.4x (10)
x = 34x - 495

7. Now you try this 4.5 - 7.2x = 3.4x - 49.5 45 - 72x = 34x - 495

8. Now you try this
540 = 106x
540/106 = 106x/106
5.1  x

9. Equations with Fractions and special fraction problems

10. x/3 - 9 + 9 = 21 + 9 x/3 = 30 (3)x/3 = 30(3) x = 90 Example #1

11. Check #1
x/3 - 9 = 21
90/3 - 9 = 21
= 21
21 = 21
True

12. Now You try this one (solve and check)

13. Check
a/5 - 6 = 10
80/ = 10
= 10
10 = 10
True

14. Example #2 (3)(x - 9)/3 = 21(3) x - 9 = 63 x - 9 + 9 = 63 + 9 x = 72

15. Check #2
(x - 9)/3 = 21
(72 - 9)/3 = 21
63/3 = 21
21 = 21
True

16. Now You try this one (solve and check)
(x - 2)/3 = 5
(3)(x - 2)/3 = 5(3)
x - 2 = 15
x =
x = 17

17. Check
(x - 2)/3 = 5
(17 - 2)/3 = 5
15/3 = 5
5 = 5
True

18. Be READY to tell me the Mistake Below:
2(6 - 2x) = 4
12 - 2x = 4
x =
- 2x = -8
-2x/-2 = -8/-2
x = 4

19. The corrected version 2(6 - 2x) = 4 12 - 4x = 4 12 -12 - 4x = 4 - 12

20. Be READY to tell me the Mistake Below:
2(6 - 2x) = 4
12 - 4x = 4
x =
4x = -8
4x/4 = -8/4
x = -2

21. The corrected version 2(6 - 2x) = 4 12 - 4x = 4 12 -12 - 4x = 4 - 12

22. Solve the following
1.) 2(3-x) = 4
2.) 2(6 - 2x) = 4
3.) 1/2(4 - 6a) = 6
x = 1
x = 2
a = -4/3

23. Classwork
Do worksheet (1-24)
Homework
Page 151 (5-28)