Multistep Equations with Variables on Both Sides

Multistep Equations with Variables on Both Sides

Steps to Solve

• D - Distribute

• C - Combine Like Terms

• M - Move the variable to one side

• A - Get rid of adding or subtracting

• M - Get rid of multiplication or division

Multiple Choice

What is my first step when solving multistep equations with variables on both sides?

• Distribute

• Combine Like Terms

• Move the Variable

• Add the constant to both sides

Let's do this one together

6r + 7 = 13 + 7r

Let's do this one together

-7x - 3x + 2 = -8x - 8

Let's do this one together

-8n + 4(1 + 5n) = -6n - 14

You Try!

-14 + 6b + 7 - 2b = 1 + 5b

Multiple Choice

What did you get?

• 14

• -8

• 9

• 20

You Try!

7a - 3 = 3 + 6a

Multiple Choice

What did you get?

• 14

• 15

• 6

• 4

You Try!

38 + 7k = 8(k + 4)

Multiple Choice

What did you get?

• 14

• 15

• 6

• 4

You Try!

7(5a - 4) -1 = 14 - 8a

Multiple Choice

What did you get?

• 12

• 5

• 6

• 1

No solutions or Infinitely Many Solutions

• No solutions - when you solve the equation your answer will not be true. For example : 2 = 8 is not a true statement so there is no solutions.

• Infinitely Many Solutions - when you solve the equation your answer will be a true statement. For example : 7 = 7 is a true statement so there is infinitely many solutions

Multiple Choice

How many solutions?

2(3x-4)-6x=-4

• One

• Two

• Infinite

• None

Multiple Choice

Solve for n:

n+2=n+4

• No solution

• All real numbers

• x=0

Multiple Choice

Solve for x: 5(2x-1)=-5+10x

• x=5

• No solution

• x=0

• All real numbers

Multiple Choice

Is 7 a solution to the equation?

3x+8-x = 5x-4

• yes

• maybe

• no

Multiple Choice

Find the solution to the following problem:

x+2=x+4

• all real numbers

• x=0

• no solution

• many solutions

Poll

How comfortable do you feel about solving multistep equations with variables on both sides?

• I feel great!

• I feel better than I did before the review

• I should probably come to tutoring

• What is a multistep equation? What are variables?