Solving Linear Equations - GRADE 8 MATHEMATICS
- 1. Solutions to Equations Grade 8 - Mathematics
- 2. Expression Equation 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 = 152 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. Solve for x ∶ 𝟑𝒙 + 𝟓 + 𝟔𝒙 − 𝟕 = 𝟐𝟓
- 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. Solve for w ∶ 𝟏𝟑𝒘 − 𝟐 𝟒𝒘 + 𝟏 = 𝒘 − 𝟓𝟖
- 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 12. Solve for x: 𝐱 − 𝟓/ 𝟐 = 𝟗