Solving Linear Equations - GRADE 8 MATHEMATICS

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1. Solutions to Equations Grade 8 - Mathematics

2. 2x + 5 2x + 5 = 9 there are no "sides" and no = sign  has a left side, a right side and an equals sign separating the sides

3. 2x + 5 = 9  has a left side, a right side and an equals sign separating the sides Equation Left side Right side Equals sign

4. How do you solve an equation with one variable? For example, if you have an equation 3 – 5x = 18 how do you know how to solve for x?

5. Solution to one equation For example, In the equation x + 2 = 3 the solution is x = since 1 + 2 = 3 - it is the values that make the equation true 1

6. x – 3 = 5 What is the solution to this equation? If the same number was added to both sides of an equation, the sides remain equal A. P. E.

7. x – 3 = 5 What is the solution to this equation? If a negative integer will be transferred to the other side, it will become positive. x = 5 + 3 x = 8 A. P. E.

8. x + 3 = 5 What is the solution to this equation? when both sides of an equation have the same number subtracted from them, the sides remain equal S. P. E.

9. x + 3 = 5 What is the solution to this equation? If a positive integer will be transferred to the other side, it will become negative . x = 5 – 3 x = 2 S . P. E.

10. What is the solution to this equation? both sides of an equation are multiplied by the same number. a = 30 M . P. E. a 2 = 15 a 2 = 15 ( ) ( ) 2 2

11. 3x = 9 What is the solution to this equation? To eliminate the factors, Multiply it by the number itself . x = 3 3 3 D. P. E.

12. What is the solution to this equation? 3 – 5x = 18 Left side Right side Equals sign Let us retain the solution to equation on the left side.

13. What is the solution to this equation? Transfer the constant to the right side 3 – 5x = 18

14. – 5x = 18 What is the solution to this equation? Transfer the constant to the right side 3 –

15. – 5x = 18 What is the solution to this equation? Simplify the right side 3 – – 5x = 15

16. – 5x = 18 What is the solution to this equation? Remove the coefficient of x by 3 – – 5x = 15 dividing –5 to both sides – 5 – 5

17. – 5x = 18 What is the solution to this equation? Simplify both sides 3 – – 5x = 15 – 5 – 5 x = – 3

18. What is the solution to this equation? Replace x with -3 If x = –3 3 – 5x = 18 3 – 5( –3 ) = 18 3 – ( –15 ) = 18 3 + ( + 15 ) = 18 18 = 18

19. What is the solution to this equation? 4x + 8 = 16 – 5x – 1 + 4x = 3 2(x – 4) = 3x – 9

20. What is the solution to this equation? x – x 1 x – 3 1 x+4 = 3 4 6 = 3 2 6 3x – +

21. What are the only two countries in the entire world that do not sell Coca-Cola? 11 4 10 2 5 6 4 10 8 1 1 11 12 3 9 7 1 1.  

22. What are the only two countries in the entire world that do not sell Coca-Cola? 11 4 10 2 5 6 4 10 8 1 1 11 12 3 9 7 1 2.  

23. What are the only two countries in the entire world that do not sell Coca-Cola? 11 4 10 2 5 6 4 10 8 1 1 11 12 3 9 7 1