Practice Test
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Use the Multiplication Property of Equality to eliminate the division.
m=35
LHS * 7=RHS* 7
a/7* 7 = a
Multiply
.LHS /6.=.RHS /6.
a* b/c=a/c* b
Calculate quotient
Identity Property of Multiplication
There are four main Properties of Equality that we use when solving linear equations.
| 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. |