Solving Multi-Step Equations

This video tutorial demonstrates how to solve multi-step equations by simplifying each side, isolating the variable, and solving for it. The process includes distributing terms, combining like terms, and verifying solutions. Two example equations are solved, with detailed steps provided for each.

What is the first step that can be skipped when solving the given multi-step equations?

• Isolating the variable term

• Clearing fractions or decimals

• Checking the solution

• Simplifying each side

Tags

CCSS.8.EE.C.7B

What operation is performed to clear the parentheses on the left side of the equation?

• Addition

• Subtraction

• Division

• Multiplication

Tags

CCSS.7.EE.B.4A

How do you isolate the variable term on one side of the equation?

• By checking the solution

• By dividing both sides

• By multiplying both sides

• By adding or subtracting terms

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the result of dividing 108 by -27 in the equation?

• 3

• 4

• -4

• -3

Tags

CCSS.6.EE.B.7

What should be done after finding the solution to verify its correctness?

• Subtract the solution from both sides

• Add the solution to both sides

• Check the solution by substituting back into the equation

• Multiply both sides by the solution

Tags

CCSS.7.EE.A.1

In the second equation, what is the result of combining the terms 3y and -12y?

• -9y

• -15y

• 15y

• 9y

Tags

CCSS.6.EE.B.7

What operation is used to isolate the variable y in the second equation?

• Division

• Addition

• Subtraction

• Multiplication

What is the solution for y in the second equation?

• y = 0

• y = 1

• y = 2

• y = -1

Tags

CCSS.7.EE.B.4A

What is the final step mentioned in solving the equations?

• Distributing terms

• Isolating the variable term

• Checking the solution

• Simplifying each side

What is the solution for x in the first equation?

• x = 0

• x = -4

• x = 1

• x = 4