Solving Linear Equations Concepts

This video tutorial introduces a two-part series on solving one-step equations with a focus on the subtraction property of equality. It demonstrates solving the equations y + 14 = 26 and 17 + r = 42 by using the inverse operation of subtraction to isolate the variable. The tutorial emphasizes maintaining the integrity of the equation by performing the same operation on both sides and includes a verification step to ensure the solution is correct.

What is the main focus of the video series introduced in the beginning?

• Division property of equality

• Multiplication property of equality

• Subtraction property of equality

• Addition property of equality

In the equation y + 14 = 26, what is the inverse of the constant attached to the variable?

• Negative 14

• Positive 26

• Positive 14

• Negative 26

What operation is performed on both sides of the equation y + 14 = 26 to maintain equality?

• Subtract 26

• Add 14

• Subtract 14

• Add 26

What is the result of 26 minus 14 in the equation y + 14 = 26?

• 10

• 16

• 14

• 12

What is the purpose of using the inverse in solving equations?

• To eliminate the constant

• To change the variable

• To make the equation more complex

• To increase the value of the equation

What does the subtraction property of equality ensure?

• The equation becomes more complex

• The equation remains balanced

• The equation becomes unbalanced

• The equation becomes simpler

After solving y + 14 = 26, what is the value of y?

• 10

• 16

• 12

• 14

How do you verify the solution of y = 12 in the equation y + 14 = 26?

• By dividing 26 by 12

• By multiplying 12 and 14

• By subtracting 12 from 26

• By adding 12 and 14

In the equation 17 + r = 42, what assumption is made about the sign of 17?

• It is positive

• It is negative

• It is zero

• It is unknown

What is the inverse of positive 17 in the equation 17 + r = 42?

• Negative 42

• Positive 42

• Negative 17

• Positive 17