1. Algebra (Solving Equations)
Lesson # 41
Algebra
(Solving Equations)

2. By
Amanda Brown Of
803

3. Solving Algebra Equations
Suppose you have an equation
like
3x + 1 = 7
What would be the value of “x” to make this a “TRUE” statement?

4. To find out the value of “x”
take the answer “7”
and start working
backwards.

5. Whatever you do to the left side, must also be done to the right side.
3x + 1 = 7
Get rid of the + 1 first, by subtracting it from the left side of the equation.
Whatever you do to the left side, must also be done to the right side.

6. Therefore 3 times “x” must = 6.
So… subtract 1 from the 7
To leave you 6.
Therefore 3 times “x” must = 6.

7. That means…
“X” must
Equal 2

8. Is a true mathematical statement…
See “ 3x + 1 = 7”
Is a true mathematical statement…
When X = 2

9. What is the value of “X” in this equation:
Another example…
What is the value of “X” in this equation:
(4x)2 = 64

10. 4 times “x” has to be squared.
The answer to that must equal 64.
Soooooo…
Find the square root of 64…
8, right.

11. So, then …
4 times what give you 8? 2

12. So then …
(4 x “2”)2 = 64

13. And now… 10
Practice
Questions

14. For the next 10 questions…
Find the value of “X”.

15. Question # 1
X + 31 = 36

16. Question # 2
X + -3 = +7

17. Question # 3
(6 - 2) x = 40

18. Question # 4
3x + 4 = 7

19. Question # 5
( 7 – x ) 2 = 9

20. Question # 6
8x + 3 = 27

21. Question # 7
x – = 9

22. Question # 8
(x + 6) 4 = 32

23. Question # 9
(4x)2 = 144

24. Question # 10
(9x) + 4 = 4

25. And Now..
The Answers
Prepare Yourself !

26. Question # 1
X + 31 = 36 5

27. Question # 2
X + -3 = +7
+10

28. Question # 3
(6 - 2) x = 40 10

29. Question # 4
3x + 4= 7 1

30. Question # 5
(7 – x)2 = 9 4

31. Question # 6
8x + 3 = 27 3

32. Question # 7
1x – = 9 8

33. Question # 8
(x + 6) 4 = 32 2

34. Question # 9
(4x)2 = 144 3

35. Question # 10
(9x) + 4 = 4

36. The
End