Solving One-Step Equations

In this video, Mr. J explains how to solve one-step multiplication equations involving negative numbers. The process involves isolating the variable by using the inverse operation, which is division in this case. Two examples are provided: solving for x in the equation negative 6x = negative 36, and solving for e in 77 = negative 7e. The video emphasizes the importance of performing the same operation on both sides of the equation to maintain balance. Each solution is verified by substituting the variable back into the original equation.

What is the first step in solving one-step multiplication equations with negatives?

• Add a constant to both sides

• Use the inverse operation

• Subtract a constant from both sides

• Multiply both sides by zero

Tags

CCSS.HSA.REI.A.1

In the equation -6x = -36, what operation should be used to isolate x?

• Subtraction

• Addition

• Multiplication

• Division

Tags

CCSS.7.NS.A.2B

CCSS.7.NS.A.2A

What is the result of dividing a negative number by another negative number?

• Zero

• A positive number

• Undefined

• A negative number

Tags

CCSS.6.EE.B.7

After isolating x in the equation -6x = -36, what is the value of x?

• 36

• -6

• -36

• 6

Tags

CCSS.HSA.REI.A.1

In the equation 77 = -7e, what operation is used to isolate e?

• Addition

• Multiplication

• Division

• Subtraction

Tags

CCSS.6.EE.B.7

What is the value of e in the equation 77 = -7e?

• 11

• -11

• 7

• -7

Tags

CCSS.7.NS.A.2B

CCSS.7.NS.A.2A

What is the result of multiplying two negative numbers?

• Undefined

• Zero

• A positive number

• A negative number

Tags

CCSS.6.EE.B.7

How can you verify the solution of a one-step equation?

• By substituting the solution back into the original equation

• By checking with a calculator

• By guessing

• By asking a friend

Tags

CCSS.3.OA.C.7

What is the inverse operation of multiplication?

• Exponentiation

• Division

• Subtraction

• Addition

Tags

CCSS.6.EE.B.7

What should be done to both sides of an equation to maintain balance?

• Subtract the same number

• Multiply by zero

• Add the same number

• Perform the same operation

Tags

CCSS.6.EE.B.7