Understanding Equivalent Equations

The video tutorial explains how to create equivalent equations starting from the equation y = 15. It demonstrates four operations: dividing by five, adding four, multiplying by -3, and subtracting six, applied to both sides of the equation to generate equivalent equations. The tutorial concludes by verifying that y = 15 is a solution to all derived equations, ensuring the operations maintain equivalence.

What is the initial equation given in the tutorial?

• y = 10

• y = 15

• y = 25

• y = 20

What operation is performed first to create an equivalent equation?

• Subtract 5

• Divide by 5

• Add 5

• Multiply by 5

What is the result of dividing both sides of the equation y = 15 by 5?

• y / 5 = 5

• y / 5 = 2

• y / 5 = 3

• y / 5 = 4

What is the second operation performed on the equation?

• Subtract 4

• Multiply by 4

• Add 4

• Divide by 4

After adding 4 to both sides, what does the equation become?

• y / 5 + 4 = 7

• y / 5 + 4 = 6

• y / 5 + 4 = 5

• y / 5 + 4 = 8

What is the third operation applied to the equation?

• Subtract 3

• Multiply by -3

• Add 3

• Divide by -3

What is the result of multiplying both sides by -3?

• -3 * (y / 5 + 4) = -18

• -3 * (y / 5 + 4) = -24

• -3 * (y / 5 + 4) = -27

• -3 * (y / 5 + 4) = -21

What is the final operation performed on the equation?

• Subtract 6

• Divide by 6

• Add 6

• Multiply by 6

What is the final equivalent equation after all operations?

• -3 * (y / 5 + 4) - 6 = -21

• -3 * (y / 5 + 4) - 6 = -24

• -3 * (y / 5 + 4) - 6 = -27

• -3 * (y / 5 + 4) - 6 = -30

What value of y satisfies all the equivalent equations derived?

• y = 15

• y = 12

• y = 18

• y = 10