Multi Step Equations with No Solutions

Multi Step Equations with No Solutions

Nov 6th Agenda

• Go over solving multi-step equations

• Introduce no solutions and infinite solutions

Poll

Would you rather have all traffic lights you approach be green or never have to stand in line again?

• Green Lights

• No Lines

Steps to solve a multi-step equation

• Distribute (if parentheses)

• Combine like terms on each side of the equal sign

• Move the variable to one side of the equation

• Solve the 2-step equation

Multiple Choice

2x + 3 = x -2 What is the smaller of the variable terms?

• 2x

• 3

• x

• -2

Multiple Choice

2x + 3 = x -2 Use opposite operations to move the variables to the left side of the equation?

• x + 3 = -2

• 3x + 3 = -2

• 3 = -x - 2

• 4x + 3 = -2

Multiple Choice

5x - 6 = 4x + 2 Get the variables to one side.

• 9x - 6 = 2

• 2x - 6 = 2

• 1x = 6x

• x - 6 = 2

Multiple Choice

5 - 3(x - 2) = 4x Distribute

• 5 + 3x + 6 = 4x

• 5 - 3x + 6 = 4x

• 5 - 3x - 6 = 4x

Multiple Choice

5 - 3x + 6 = 4x Combine Like Terms

• 8x + 6 = 4x

• 5 -3x = 4x

• 11 - 3x = 4x

Multiple Choice

11 - 3x = 4x Move the variable to one side

• 11 = 7x

• 11 = 1x

• 8x = 4x

Multiple Choice

-4x - 6 = 2 Solve

• x = 1

• x = 2

• x = -2

Multiple Choice

How many solutions are there to an equation that solves to leave this:

x = 2 ?

• Infinite

• 1 solution

• no solutions

• some solutions

Multiple Choice

How many solutions are there to an equation that solves to leave this:

-4 = 2 ?

• Infinite

• 1 solution

• no solutions

• some solutions

Multiple Choice

How many solutions are there to an equation that solves to leave this: -4 = -4 ?

• Infinite

• 1 solution

• no solutions

• some solutions

Multiple Choice

Distribute

• 40x - 24 = -18x - 24

• 40x + 24 = -18x + 24

• 40x - 3 = -18x - 4

Multiple Choice

Are there any like terms to combine?

• Yes

• No

Multiple Choice

Get the Variable to one side

• 22x - 24 = -24

• 30x - 24 = -24

• 58x - 24 = -24

Multiple Choice

Solve the 2-Step by first getting the variable term alone.

• 58x = 48

• 58x = 0

• 58x = 24

Multiple Choice

Solve for x

• x = 1

• x = 0

• no solution

• infinite solutions

Multiple Choice

Solve for x, write the number as you answer.

• no solutions

• infinite solutions

• x = 8

Multiple Choice

Solve for x, write the number as you answer.

• no solutions

• infinite solutions

• x = 8

Assignment for next time

You have a new assignment

We will do some quizzes with google forms next time we meet on solving equations.