Solving Linear Equations and Operations

The video tutorial explains how to solve linear equations by isolating the variable on one side of the equation. It provides two examples: solving x + 9 = 24 by subtracting 9 from both sides, and solving x - 7 = 32 by adding 7 to both sides. The tutorial emphasizes the importance of performing the same operation on both sides of the equation to maintain equality and checks the solutions by substituting the values back into the original equations.

What is the primary goal when solving a linear equation?

• To find the value of the variable

• To multiply both sides by zero

• To eliminate all numbers

• To make both sides of the equation zero

Why is it important to perform the same operation on both sides of an equation?

• To change the equation completely

• To eliminate the variable

• To make the equation more complex

• To maintain the balance of the equation

In the equation x + 9 = 24, what operation should be performed to isolate x?

• Divide both sides by 9

• Multiply both sides by 9

• Subtract 9 from both sides

• Add 9 to both sides

What is the solution to the equation x + 9 = 24?

• x = 33

• x = 15

• x = 9

• x = 24

What is the opposite operation of addition?

• Division

• Addition

• Multiplication

• Subtraction

How can you verify that x = 15 is the correct solution for the equation x + 9 = 24?

• By dividing both sides by 15

• By multiplying both sides by 15

• By adding 15 to both sides

• By substituting x with 15 and checking if both sides are equal

In the equation x - 7 = 32, what operation should be performed to isolate x?

• Divide both sides by 7

• Subtract 7 from both sides

• Multiply both sides by 7

• Add 7 to both sides

What is the solution to the equation x - 7 = 32?

• x = 7

• x = 39

• x = 25

• x = 32

What is the opposite operation of subtraction?

• Addition

• Multiplication

• Subtraction

• Division

How can you verify that x = 39 is the correct solution for the equation x - 7 = 32?

• By substituting x with 39 and checking if both sides are equal

• By adding 39 to both sides

• By multiplying both sides by 39

• By dividing both sides by 39