Section 3.6

Solving Decimal Equations

Mr. Beltz &Mr. Sparks

Goal: Find exact and approximate

solutions of equations that contain decimals.

Approximate: Near or close (estimate)

EX. $1.95 approx. $2.00

BasicsDistribute on Both Sides First!

Simply the expression (combine like terms)

Goal: Get the variable to the left side

Solve the Equation using Inverse Relationships

Remember: You always want to solve for the Variable, “X = ?”

-38x – 39 = 118

-38x + -39 = 118

+39 +39

-38x = 157

-38 -38

X = -4.13

Change Sub --> +

Simply the Equation

Do the Inverse of Addition [subtraction]

The Inverse of Multiplication is Division

24x + 43 = 66

-43 -43

24x = 23

24 24

X = 0.96

Change Sub --> +

Simply the Equation

Do the Inverse of Addition [subtraction]

The Inverse of Multiplication is Division

Practice

P. 163 # 2-3

Show All work

USE YOUR NOTES AS A GUIDE

Practice P. 163 # 2-3

# 2: -1.40

#3: -1.12

Independent Practice

P. 164-165 #’s 4-8

SHOW YOUR WORK