Understanding Equivalent Equations

The video tutorial explains how to create equivalent equations by performing operations on both sides of an equation. Starting with x equals five, the tutorial demonstrates adding, dividing, subtracting, and multiplying to form new equations while simplifying fractions. Each step maintains the solution of x equals five, illustrating the concept of equivalent equations. The tutorial concludes by summarizing the process and emphasizing the importance of equivalent equations.

What is the definition of equivalent equations?

• Equations that have no solutions.

• Equations that have the same solution.

• Equations that have different solutions.

• Equations that are identical.

What is the initial value of x in the given problem?

• x = 9

• x = 14

• x = 5

• x = -6

What is the result of adding 9 to both sides of the equation x = 5?

• x + 9 = 5

• x = 9

• x + 9 = 14

• x = 14

After dividing by -6, what is the simplified form of 14 divided by -6?

• 7/3

• -7/3

• -14/6

• 14/6

What operation is performed after dividing by -6?

• Dividing by 2

• Multiplying by 2

• Adding 3

• Subtracting 3

What is the least common denominator used to subtract 3 from -7/3?

• 1

• 2

• 3

• 6

What is the result of subtracting 3 from -7/3?

• -16/3

• -10/3

• -4/3

• -7/3

What is the final operation performed on the equation?

• Adding 2

• Multiplying by -2

• Dividing by -2

• Subtracting 2

What property is used to rearrange the multiplication in the final equation?

• Distributive Property

• Associative Property

• Identity Property

• Commutative Property

What is the final equivalent equation obtained after all operations?

• x + 9 = 14

• x = 5

• -2(x + 9)/-6 - 3 = 32/3

• x + 9 = -7/3