Solving Linear Equations Operations

This video tutorial covers solving equations involving multiplication and division. It explains how to isolate variables by using division to cancel multiplication and vice versa. The tutorial includes examples such as solving 3x = 12 and x/3 = 12, followed by practice problems to reinforce the concepts. The key takeaway is to use multiplication to cancel division and division to cancel multiplication, ensuring operations are applied to both sides of the equation.

What operation should you use to solve the equation 3x = 12?

• Addition

• Subtraction

• Multiplication

• Division

Why does dividing both sides of the equation 3x = 12 by 3 help solve for x?

• It subtracts 3 from both sides.

• It multiplies both sides by 3.

• It cancels out the multiplication by 3.

• It adds 3 to both sides.

How do you solve the equation x/3 = 12?

• Subtract 3 from both sides.

• Divide both sides by 3.

• Add 3 to both sides.

• Multiply both sides by 3.

What is the result of multiplying both sides of x/3 = 12 by 3?

• x = 4

• x = 12

• x = 36

• x = 9

In the equation 7x = 10, what operation will help isolate x?

• Division

• Multiplication

• Subtraction

• Addition

What is the solution to the equation 7x = 10?

• x = 3

• x = 7

• x = 10/7

• x = 1.4

How do you solve the equation x/4 = -5?

• Subtract 4 from both sides.

• Multiply both sides by 4.

• Divide both sides by 4.

• Add 4 to both sides.

What is the result of solving x/4 = -5?

• x = -20

• x = 5

• x = 20

• x = -1.25

To solve 10x = 80, what operation should be performed?

• Multiply both sides by 10.

• Subtract 10 from both sides.

• Divide both sides by 10.

• Add 10 to both sides.

What is the solution to the equation x/5 = 3?

• x = 1.5

• x = 8

• x = 5

• x = 15