Solving Linear Equations Concepts

This video tutorial introduces solving equations using a balance scale analogy. It covers solving equations with both addition and subtraction to isolate the variable X. The tutorial includes guided practice problems and encourages independent practice, emphasizing the importance of performing the same operation on both sides of an equation to maintain balance.

What is the key concept to remember when solving equations using a balance scale analogy?

• Keep both sides of the equation balanced.

• Always add the same number to both sides.

• Multiply both sides by the same number.

• Subtract the same number from both sides.

In the equation X + 4 = 12, what operation should be performed to isolate X?

• Subtract 4 from both sides.

• Add 4 to both sides.

• Divide both sides by 4.

• Multiply both sides by 4.

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

• Add 6 to both sides.

• Subtract 6 from both sides.

• Multiply both sides by 6.

• Divide both sides by 6.

What is the result of solving X + 6 = 4?

• X = 2

• X = -2

• X = 10

• X = -10

To solve X - 3 = -1, what should be added to both sides?

• Add 3

• Add 4

• Add 1

• Add 2

What is the solution to the equation X + 8 = 2?

• X = 6

• X = -6

• X = -10

• X = 10

In the equation X - 3.5 = 4.8, what operation is needed to solve for X?

• Subtract 3.5 from both sides.

• Multiply both sides by 3.5.

• Divide both sides by 3.5.

• Add 3.5 to both sides.

What is the final value of X in the equation X - 3.5 = 4.8?

• X = 9.3

• X = 7.3

• X = 8.3

• X = 1.3

What is the opposite operation of addition when solving equations?

• Subtraction

• Addition

• Division

• Multiplication

What is the opposite operation of subtraction when solving equations?

• Addition

• Multiplication

• Division

• Subtraction