Methods for Solving Equations

The video tutorial demonstrates three methods to solve the equation 2 * x - 8 = 24. The first method involves dividing both sides by 2 to isolate x. The second method uses the distributive property to expand and simplify the equation. The third method employs intuitive reasoning to determine the value of x. Each method concludes with verifying the solution to ensure accuracy.

What is the initial equation given in the problem?

• 2 * x + 8 = 24

• 2 * x = 24

• 2 * x - 8 = 24

• x - 8 = 24

In the first method, what operation is performed first to simplify the equation?

• Subtract 8 from both sides

• Multiply both sides by 2

• Divide both sides by 2

• Add 8 to both sides

After dividing both sides by 2 in the first method, what is the next step?

• Subtract 8 from both sides

• Divide both sides by 8

• Add 8 to both sides

• Multiply both sides by 2

What is the value of x after using the first method?

• 12

• 24

• 16

• 20

In the second method, which property is used to expand the equation?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

What is the expanded form of the equation using the distributive property?

• x - 16 = 24

• 2x - 16 = 24

• 2x = 24

• 2x + 16 = 24

After expanding the equation in the second method, what is the next step?

• Divide both sides by 2

• Add 16 to both sides

• Multiply both sides by 2

• Subtract 16 from both sides

What is the value of x after using the second method?

• 24

• 20

• 16

• 12

In the third method, what is the first step to understand the equation?

• Divide both sides by 2

• Multiply both sides by 2

• Add 8 to both sides

• Identify the value in the parentheses

What value should 2 be multiplied by to get 24 in the third method?

• 12

• 14

• 10

• 16