Describe how you would use the Multiplication and Division Property of Equality. Use an example to illustrate your description. (2 points)
The Multiplication and Division Property of Equality states that if you multiply or divide both sides of an equation by the same nonzero number, the equation will still be true. This property is fundamental in solving equations.
To illustrate this, let's solve the equation 3x = 12 using the Multiplication and Division Property of Equality.
1. Multiplication Property of Equality: We can multiply both sides of the equation by the same number to isolate the variable. In this case, we want to eliminate the coefficient of x, which is 3. To do that, we can divide both sides of the equation by 3.
3x / 3 = 12 / 3
x = 4
By dividing both sides of the equation by 3, we were able to isolate the variable x and find the solution, which is x = 4.
The Division Property of Equality is essentially the same as the Multiplication Property of Equality, but instead of multiplying both sides of the equation by the same number, you divide both sides by the same non-zero number.
Overall, the Multiplication and Division Property of Equality are powerful tools in solving equations as they allow us to manipulate equations while still maintaining the equality.