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andrew-mc [135]
3 years ago
9

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

Mathematics
2 answers:
Nadya [2.5K]3 years ago
4 0
We can check this two ways: distributing the -0.5, and plugging in a number for x.

First, we can check this by distributing the -0.5.  Our equation becomes:

-1.5x -2.5 = -1.5x + 2.5

Clearly, this is not true.  We can show this one more time by plugging in a number for x.  I will use 2.

-0.5(3*2+5)=-1.5*2+2.5

Now, we evaluate both sides and see if they are equal.

-3 - 2.5 = -3 + 2.5

-5.5 = 0.5

Clearly, this is not true.  These expressions are not equivalent.
vladimir1956 [14]3 years ago
4 0
Using the distributive property to expand the first expression, you would get -1.5x<span> - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for </span>x<span> and evaluate each expression, the values will not be equal.</span>
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