Solving Linear Equations and Operations

The video tutorial introduces solving equations using a balance scale analogy. It demonstrates solving equations like X + 4 = 12 and X - 6 = 8 by performing operations on both sides to maintain balance. The tutorial emphasizes the importance of doing the same operation on both sides of an equation to isolate the variable. It includes practice problems for students to solve independently, reinforcing the concept of using addition to cancel subtraction and vice versa.

What is the key concept introduced when using a balance scale to solve equations?

• Using different operations on each side

• Keeping the scale balanced by performing the same operation on both sides

• Ignoring the balance of the scale

• Only adding numbers to the scale

In the equation X + 4 = 12, what operation is used to isolate X?

• Dividing both sides by 4

• Multiplying both sides by 4

• Subtracting 4 from both sides

• Adding 4 to both sides

What is the value of X in the equation X + 4 = 12?

• 4

• 12

• 8

• 16

How do you solve the equation X - 6 = 8?

• Subtract 6 from both sides

• Divide both sides by 6

• Add 6 to both sides

• Multiply both sides by 6

What is the value of X in the equation X - 6 = 8?

• 14

• 12

• 2

• 8

In the equation X + 6 = 4, what operation is used to isolate X?

• Adding 6 to both sides

• Subtracting 6 from both sides

• Multiplying both sides by 6

• Dividing both sides by 6

What is the value of X in the equation X + 6 = 4?

• -2

• 2

• 4

• 6

How do you solve the equation X - 3 = -1?

• Multiply both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

What is the value of X in the equation X + 8 = 2?

• -6

• 6

• 10

• 8

In the equation X - 3.5 = 4.8, what operation is used to isolate X?

• Subtract 3.5 from both sides

• Add 3.5 to both sides

• Divide both sides by 3.5

• Multiply both sides by 3.5