Question

Verify whether or not the algebraic expressions are equivalent for m = 4. Explain your answer. 2m + 5 + m – 4 – 5m – 4 + 8m + 5

Answer 1

Yes, the expressions are equivalent, because when substituting the value, 4, for the variable in both expressions, they both simplify to the same value, 13.

Answer 2

An expression is defined as a set of numbers, variables, and mathematical operations. The algebraic expressions are equivalent for m = 4.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To know whether or not the algebraic expressions are equivalent for m = 4. we will simplify the given algebraic expression, therefore, we can write,

2m + 5 + m – 4

Solving the Like terms,

= 2m + m + 5 - 4

= 3m + 1

– 5m – 4 + 8m + 5

Solving the Like terms,

= - 5m + 8m + 5 - 4

= 3m + 1

Since the two of the given algebraic expressions are equal, therefore, for any value of m the two expression will be equal.

Hence, the algebraic expressions are equivalent for m = 4.

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