AnswersAJH Pre-Algebra A Grade 8Simplifying Expressions

Simplifying Expressions Answers

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The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Answer:

To show that the expression has been simplified correctly without performing the simplification steps, you can substitute a value for the variable m into both the original expression and the simplified expression. If the expressions are equivalent, they will yield the same numerical result. For example, if you let m = 1, both expressions should evaluate to the same value.

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Check all of the facts that you included in your response.

A
If the expression has been simplified correctly, then the expressions will be equivalent.
B
The expressions will have the same value when numbers are substituted in for the variable m.
C
Choose a value for m and substitute in to both expressions.
D
Simplify each expression using the order of operations and show they are the same value.

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