Solving Linear Equations with Variables on Both Sides

The video tutorial explains how to solve linear equations with variables on both sides. It covers the steps of simplifying each side, using inverse operations to collect variable terms, and isolating the variable. The tutorial includes examples demonstrating these steps and discusses special cases where equations have no solutions or infinitely many solutions.

What is the first step in solving equations with variables on both sides?

• Isolate the variable

• Distribute terms

• Simplify each side

• Combine like terms

What operation is used to move all variable terms to one side?

• Multiplication

• Division

• Subtraction

• Addition

Tags

CCSS.7.EE.B.4A

In the first example, what is the result after subtracting 3x from both sides?

• 2x - 4 = 12

• 5x - 3 = 12

• 2x + 4 = 12

• 3x - 4 = 12

Tags

CCSS.7.EE.B.4A

How do you isolate the variable in the equation 2x - 4 = 12?

• Multiply both sides by 2

• Subtract 4 from both sides

• Add 4 to both sides

• Divide both sides by 2

Tags

CCSS.7.EE.B.4A

What is the final solution for the equation 2x - 4 = 12?

• x = 2

• x = 6

• x = 8

• x = 4

Tags

CCSS.7.EE.B.4A

In the second example, what is the result after distributing and combining like terms on the right side?

• -8x + 12

• 8x + 12

• -4x + 12

• 4x + 12

Tags

CCSS.7.EE.A.1

What is the final solution for the equation 16x - 4 = 12?

• x = 2

• x = 0.5

• x = 1

• x = 4

Tags

CCSS.7.EE.B.4A

What does it mean if all variables cancel out and you are left with a true statement?

• One solution

• No solution

• Undefined

• Infinitely many solutions

Tags

CCSS.8.EE.C.7A

What does it mean if all variables cancel out and you are left with a false statement?

• No solution

• One solution

• Undefined

• Infinitely many solutions

Tags

CCSS.8.EE.C.7A

What is the result when the equation simplifies to 6 = 0?

• One solution

• Infinitely many solutions

• No solution

• Undefined

Tags

CCSS.8.EE.C.7A