Download 3.2 solving multiplication and division equations

3.2 – Solving Equations Using
Multiplication and Division
3.2 – Solving Equations Using
Multiplication and Division
Goal:
- I can solve one step linear equations using
multiplication and division.
Special Vocab… (from yeSterday)
Inverse Operations – are operations that undo each other, such
as addition and subtraction. Inverse operations help you
isolate the variable in an equation.
* Do the opposite to “undo” an equation!
 If you are adding TO the variable – then subtract.
 If subtracting FROM the variable – then add.
 If multiplying TO the variable, then divide!
 If dividing the variable BY something, then
multiply by the reciprocal!
Transformations that Produce
Equivalent Equations
Original Equation
Multiply each
side of the
equation by the
same nonzero
number.
Divide each
side of the
equation by the
same nonzero
number.
x
_
2
= 3
4x = 12
Equivalent Equation
x2
x=6
Divide by 4
x=3
Practice: Solve the Equations
p
 10
5
y
13 
3
P=50
Y= -39
c
 56
8
C= 448
Practice: Solve the Equations
7 x  56
X=8
16  4c
C=4
0.5k  10
K=-20
Solving equations that contain fractions
Survival Tip – remember that dividing is the same
as multiplying by the reciprocal……
you may find it easier to multiply by a reciprocal
instead of dividing by a fraction.
5
v  35
9
Solving equations that contain
fractions
1 1
  b
4 5
B=-5/4
4j 2

6
3
J= 1
1
w  102
6
W= 612
Quick Review
• The inverse operation for multiplication is division,
and vice versa.
Homework
3.2 w/s