Solving Equations in One Variable Using Multiplicative Inverses

This video tutorial teaches how to solve equations in one variable using multiplicative inverses. It begins with an introduction to the multiplication property of equality, explaining that multiplying both sides of an equation by the same number maintains equivalency. The concept of multiplicative inverses is introduced, which involves multiplying a number by its inverse to get one. The tutorial provides examples, such as solving 5X = 30 and X/3 = 5, demonstrating the application of these concepts to isolate variables and solve equations.

What does the multiplication property of equality state?

• If two numbers are equal, dividing both by the same number keeps them equal.

• If two numbers are equal, multiplying both by the same number keeps them equal.

• If two numbers are equal, adding the same number to both keeps them equal.

• If two numbers are equal, subtracting the same number from both keeps them equal.

What is a multiplicative inverse?

• A number that, when divided by another number, equals one.

• A number that, when multiplied by another number, equals one.

• A number that, when multiplied by another number, equals zero.

• A number that, when added to another number, equals zero.

What is the result of multiplying 2 by its multiplicative inverse?

• Four

• Zero

• Two

• One

How can you isolate the variable X in the equation 5X = 30?

• Add 5 to both sides.

• Multiply both sides by 5.

• Subtract 5 from both sides.

• Multiply both sides by 1/5.

In the equation X / 3 = 5, what operation will help solve for X?

• Subtract 3 from both sides.

• Divide both sides by 3.

• Add 3 to both sides.

• Multiply both sides by 3.