Download Solving Equations by Multiplying or Dividing

Solving Equations by Multiplying or Dividing (3-4)
Definition: Inverse operations “undo” each other _______________ and _______________
are inverse operations, because they “undo” each other.
Division Property of Equality:
 If you divide the same number for each side of an equation, the two sides remain equal
Ex.
15 = 15
Ex.
3m = 24
__________= ___________
__________= ___________
_____ = _____
_____ = _____
Multiplication Property of Equality:
 If you multiply the same number for each side of an equation, the two sides remain equal
Ex.
5=5
Ex.
__________= ___________
x=5
2
__________= ___________
_____ = _____
_____ = _____
To Solve Equations you use the Division Property and Multiplication Property of Equality to
“UNDO” what had been added to or subtracted from x, to find the value of the variable
Solve each equation. Check your solution.
Ex.
m = 16 (Multiplication Prop)
-4
_______ = _______
Check:
(Substitute)
Ex.
(Division Property)
_______ = _______
Check:
(Substitute)
(Solution)
m = 16
-4
_______ = _______
4x = 28
Ex.
(Solution)
4x = 28
_______ = _______
x = -5
2
(Multiplication Prop)
_______ = _______
Check:
(Substitute)
Ex.
x = -5
2
_______ = _______
-2y = -24
(Division Property)
_______ = _______
Check:
(Substitute)
(Solution)
(Solution)
-2y = -24
_______ = _______
*x is the same as 1x, so –x is the same as __
Ex.
-x = 8
(Division Property)
_______ = _______
Check:
(Substitute)
(Solution)
-x = 8
_______ = _______
Ex.
-x = -5
(Division Property)
_______ = _______
Check:
(Substitute)
(Solution)
-x = -5
_______ = _______