Are the expressions –0.5(3x 5) and –1.5x 2.5 equivalent? explain why or why not.

Answer :

The constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute a value for x and evaluate each expression, the values will not be equal.

Expression 1: [tex]-0.5(3x+5)[/tex]

Using the distributive property to expand the first expression, we get

[tex]-0.5(3x+5) = -1.5x-2.5\\[/tex]

Expression 2: [tex]-1.5x + 2.5[/tex]

Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent.

Also, if you substitute a value for x and evaluate each expression, the values will not be equal.

Q. Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.

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