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2 years ago

Write an equivalent expression for 88 +16x +8 . If x=4,is the solution to both expressions the same.

1 answer:

5 0

You can find an equivalent expression for this by combining like terms.
The terms are 88, 16x, and 8.
The like terms are 88 and 8.
To combine them, add them together.
88 + 8 = 96
The equivalent expression would be 16x + 96.
This means 16x + 96 is the same as 88 + 16x + 8.

Since they are equivalent, that means they are equal, or the same.
So no matter what x is, they will both be equal to the same thing, so their solutions will be the same.

Answers:
Equivalent Expression: 16x + 96
Yes, both expressions will have the same solutions if x = 4.

Hope this helps!

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$\dfrac{1}{4}\left(1-\dfrac{2}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\left(\dfrac{3}{3}-\dfrac{2}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\left(\dfrac{3-2}{3}\right)^2+\dfrac{1}{3}\\\\=\dfrac{1}{4}\left(\dfrac{1}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\cdot\dfrac{1^2}{3^2}+\dfrac{1}{3}=\dfrac{1}{4}\cdot\dfrac{1}{9}+\dfrac{1}{3}=\dfrac{1}{36}+\dfrac{1}{3}\qquad(*)\\\\\text{the common denominator is}\ 36.\\\\36=3\cdot12\to\dfrac{1}{3}=\dfrac{1\cdot12}{3\cdot12}=\dfrac{12}{36}\\\\(*)\qquad=\dfrac{1}{36}+\dfrac{12}{36}=\dfrac{1+12}{36}=\dfrac{13}{36}$

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