Solving Linear Equations and Verification

The video tutorial explains how to solve linear equations in one variable by isolating the variable. It demonstrates solving two equations, verifying each solution by substitution. The process involves identifying coefficients, performing arithmetic operations, and checking solutions for accuracy.

What is the first step in solving a linear equation in one variable?

• Add a constant to both sides

• Isolate the variable on one side

• Multiply both sides by zero

• Subtract the variable from both sides

Tags

CCSS.6.EE.A.2B

In the equation -x = -2, what is the coefficient of x?

• 2

• 1

• -1

• 0

Tags

CCSS.HSA.REI.A.1

What operation is used to isolate x in the equation -1x = -2?

• Addition

• Multiplication

• Subtraction

• Division

Tags

CCSS.6.EE.B.7

What is the solution to the equation -x = -2?

• x = -2

• x = 1

• x = 0

• x = 2

Tags

CCSS.6.EE.B.5

How do you verify the solution x = 2 for the equation -x = -2?

• Substitute x with 0

• Substitute x with 2

• Substitute x with 1

• Substitute x with -2

Tags

CCSS.HSA.REI.A.1

In the equation 4 = -1y, what does -1y represent?

• y minus 1

• y plus 1

• -1 times y

• y divided by -1

Tags

CCSS.6.EE.B.7

What is the solution to the equation 4 = -1y?

• y = 4

• y = -4

• y = 1

• y = 0

How do you verify the solution y = -4 for the equation 4 = -1y?

• Substitute y with 1

• Substitute y with 4

• Substitute y with -4

• Substitute y with 0

Tags

CCSS.6.NS.C.6A

What is the opposite of negative 4?

• Negative 2

• Positive 4

• Zero

• Negative 4

Tags

CCSS.6.NS.C.6A

What is the final step in verifying a solution to a linear equation?

• Check if both sides of the equation are equal

• Subtract the variable from both sides

• Add a constant to both sides

• Multiply both sides by zero