Astemd

1. PROPERTIES OF EQUALITY AND
INEQUALITY

2. PROPERTIES OF EQUALITY:
• Addition Property of Equality (APE)
• Subtraction Property of Equality (SPE)
• Multiplication Property of Equality (MPE)
• Division Property of Equality (DPE)
• Substitution Law
• Reflexive Property
• Symmetric Property
• Transitive Property (TPE)

3. ADDITION PROPERTY:
If x = y, then x + z = y + z
Equals may be added on both
sides of the equation

4. SOLVE EACH EQUATION USING
ADDITION PROPERTY
x – 7 = 10

5. THIS IS HOW IT WORKS:
x – 7 = 10 WRITE THE ORIGINAL EQUATION

6. THIS IS HOW IT WORKS:
x – 7 = 10 WRITE THE ORIGINAL EQUATION
x – 7 + 7 = 10 + 7 ADD 7 ON BOTH SIDES

7. THIS IS HOW IT WORKS:
x – 7 = 10 WRITE THE ORIGINAL EQUATION
x – 7 + 7 = 10 + 7 ADD 7 ON BOTH SIDES
x = 17 SIMPLIFY

8. SOLVE EACH EQUATION USING
ADDITION PROPERTY
x – 12.5 = 9.25

9. THIS IS HOW IT WORKS:
x – 12.5 = 9.25 WRITE THE ORIGINAL
EQUATION

10. THIS IS HOW IT WORKS:
WRITE THE ORIGINAL
EQUATION
x – 12.5 + 12.5 = 9.25 + 12.5
ADD 12.5 ON BOTH SIDES
x – 12.5 = 9.25

11. THIS IS HOW IT WORKS:
WRITE THE ORIGINAL
EQUATION
x – 12.5 + 12.5 = 9.25 + 12.5
ADD 12.5 ON BOTH SIDES
x – 12.5 = 9.25
x = 21.75
SIMPLIFY

12. SUBTRACTION PROPERTY:
If x = y, then x - z = y - z
Equals may be subtracted from
both sides of the equation

13. SOLVE EACH EQUATION USING
SUBTRACTION PROPERTY
x + 5 = 11

14. THIS IS HOW IT WORKS:
x + 5 = 11 WRITE THE ORIGINAL EQUATION

15. THIS IS HOW IT WORKS:
x + 5 = 11 WRITE THE ORIGINAL EQUATION
x + 5 - 5 = 11 - 5 SUBTRACT 5 ON BOTH SIDES

16. THIS IS HOW IT WORKS:
x + 5 = 11 WRITE THE ORIGINAL EQUATION
x + 5 - 5 = 11 - 5 SUBTRACT 5 ON BOTH SIDES
x = 6 SIMPLIFY

17. COPY AND ANSWER ON YOUR
NOTEBOOK
1. w – 4 = 36
2. 5t + 5 = 20
3. k – 4 = 30
4. n + 25 = -723
5. C + 9 = 81

18. MULTIPLICATION PROPERTY:
If x = y, then xz = yz
Both sides of the equation may be
multiplied by equals

19. SOLVE EACH EQUATION USING
MUTIPLICATION PROPERTY
8x = 72

20. THIS IS HOW IT WORKS:
8x = 72 WRITE THE ORIGINAL EQUATION

21. THIS IS HOW IT WORKS:
6x = 54 WRITE THE ORIGINAL EQUATION

22. THIS IS HOW IT WORKS:
8x = 72 WRITE THE ORIGINAL EQUATION
8x/8 = 72/8 DIVIDE 8 ON BOTH SIDES

23. THIS IS HOW IT WORKS:
6x = 54 WRITE THE ORIGINAL EQUATION
6x/6 = 54/6 DIVIDE 6 ON BOTH SIDES

24. THIS IS HOW IT WORKS:
8x = 72 WRITE THE ORIGINAL EQUATION
8x/8 = 72/8 DIVIDE 6 ON BOTH SIDES
x = 9 SIMPLIFY

25. THIS IS HOW IT WORKS:
6x = 54 WRITE THE ORIGINAL EQUATION
6x/6 = 54/6 DIVIDE 8 ON BOTH SIDES
x = 9 SIMPLIFY

26. COPY AND ANSWER ON YOUR
NOTEBOOK
1. 4w = 36
2. 5t = 20
3. 6k = 30
4. 7x= -63
5. -9C = 81