Solving Equations with Multiplication and Division

This video tutorial explains how to solve equations using multiplication and division. It covers three examples: solving 2x = 8 by dividing both sides by 2, solving x/3 = -5 by multiplying both sides by 3, and solving 7 = 3x by dividing both sides by 3. Each example includes a step-by-step solution and verification of the answer. The video emphasizes the importance of performing the same operation on both sides of the equation to maintain equality.

What is the first step to solve the equation 2x = 8?

• Subtract 2 from both sides

• Divide both sides by 2

• Multiply both sides by 2

• Add 8 to both sides

After solving 2x = 8, how can you verify your solution?

• Check if 2 plus the solution equals 8

• Check if 2 times the solution equals 8

• Check if the solution divided by 2 equals 8

• Check if the solution minus 2 equals 8

To solve x/3 = -5, what operation should be performed?

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 3

How can you confirm the solution for x/3 = -5?

• Divide the solution by 3

• Add 5 to the solution

• Multiply the solution by 3

• Substitute the solution back into the equation

In the equation 7 = 3x, what is the first step to isolate x?

• Divide both sides by 3

• Subtract 3 from both sides

• Multiply both sides by 3

• Add 7 to both sides

What is the result of dividing both sides of 7 = 3x by 3?

• x = 7/3

• x = 3/7

• x = 21

• x = 1/3

How can you verify the solution for 7 = 3x?

• Check if 3 times the solution equals 7

• Check if 7 times the solution equals 3

• Check if the solution plus 3 equals 7

• Check if the solution minus 3 equals 7

What does it mean to 'isolate x' in an equation?

• To subtract x from both sides

• To get x by itself on one side of the equation

• To add x to both sides

• To multiply x by a constant

What operation undoes multiplication in an equation?

• Subtraction

• Multiplication

• Division

• Addition

What operation undoes division in an equation?

• Multiplication

• Subtraction

• Addition

• Division