Practice Test
Sign In
Use the Subtraction Property of Equality to eliminate the addition.
b=8
To solve the equation, we have to isolate b on one side. Using the Subtraction Property of Equality, we will subtract 7 from both sides of the equation. This will way we can get rid off the addition and isolate b.
To check that this solution is correct, let's substitute b=8 into the original equation and simplify.
Since the left-hand side and right-hand side are equal, b=8 is the correct solution.
| Properties of Equality | ||
|---|---|---|
| Addition Property of Equality | If a=b, then a+c=b+c. | |
| Subtraction Property of Equality | If a=b, then a-c=b-c. | |
| Multiplication Property of Equality | If a=b, then ac=bc. | |
| Division Property of Equality | If a=b and c is not 0, then a/c=b/c. | |
In later chapters, you will learn about some more advanced Properties of Equality. As an example, there is a property for when we need to eliminate a radical or an exponent.
|
If a=b, then a^m=b^m. |