Top Banner
Section 3.4 Solving Equations with Variables on Both Sides Mr. Beltz & Mr. Sparks
10

Section 3.4 Solving Equations with Variables on Both Sides

Jan 22, 2016

Download

Documents

Thane

Section 3.4 Solving Equations with Variables on Both Sides. Mr. Beltz & Mr. Sparks. Goal:. Solve equations that have variables on both sides. Basics. Get the Variables to one side (either side) Combine Like Terms Solve the Equation using Inverse Relationships - PowerPoint PPT Presentation
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: Section 3.4 Solving Equations with Variables on Both Sides

Section 3.4

Solving Equations with Variables on Both

SidesMr. Beltz &Mr. Sparks

Page 2: Section 3.4 Solving Equations with Variables on Both Sides

Goal: Solve equations that have

variables on both sides.

Page 3: Section 3.4 Solving Equations with Variables on Both Sides

Basics

Get the Variables to one side (either side)

Combine Like Terms

Solve the Equation using Inverse Relationships

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

Page 4: Section 3.4 Solving Equations with Variables on Both Sides

7x + 19 = -2x + 55

+2x +2x

9x + 19 = 55

-19 -19

9x = 36

9 9

x = 4

Do the Inverse Relationship to get the Variables on the LEFT SIDE

Simply the Equation

Do the Inverse of Addition [subtraction]

Do the Inverse of Multiplication [Division]

Page 5: Section 3.4 Solving Equations with Variables on Both Sides

80 – 9y = 6y

+9y +9y

80 = 15y

15 15

16 = y

3

Do the Inverse Relationship to get the Variables on the LEFT SIDE

Simply the Equation

Do the Inverse of Multiplication [Division]

Page 6: Section 3.4 Solving Equations with Variables on Both Sides

3x – 10 + 4x = 5x – 7

3x + –10 + 4x = 5x + –7

7x + -10 = 5x + -7

-5x -5x

2x + -10 = -7

+10 +10

2x = 3

2 2

X= 3/2

Change – to + Opposite of the next number

Combine Like Terms

Do the Inverse Relationship to get the Variables on the LEFT SIDE

Simply the Equation

Do the Inverse of Subtraction [Addition]

Simply the Equation

Do the Inverse of Multiplication [Division]

Page 7: Section 3.4 Solving Equations with Variables on Both Sides

Independent Practice

P. 152 #1-4

Page 8: Section 3.4 Solving Equations with Variables on Both Sides

Independent Practice Answers

#1. x = 2

#2. y = 3

#3. x = -2

#4. x = -4

Page 9: Section 3.4 Solving Equations with Variables on Both Sides

HW Assignment

P. 154

# 3-8 [all] & 17-33 [ODD]

Page 10: Section 3.4 Solving Equations with Variables on Both Sides

Friday’s HW

P. 154

# 1, 2, 10-34 [EVEN], 36, 50