Are My Algebra Answers Correct? Quick Review Needed!

[JohnP60]

I have attempted the questions in the attached sheet could someone check if the answers are correct.

View attachment 1985

1. + = 1.28
- = -0.69

2. Transposed to

t = ln (P/Po) -5 / 1.2

t= -3.18

3. x = 0
x = 2.5

4. t= -0.125
s= 10.7

Thanks

 

[Sudharaka]

I have attempted the questions in the attached sheet could someone check if the answers are correct.

View attachment 1985

1. + = 1.28
- = -0.69

2. Transposed to

t = ln (P/Po) -5 / 1.2

t= -3.18

3. x = 0
x = 2.5

4. t= -0.125
s= 10.7

Thanks

Hi John Robbo, :)

Welcome to MHB! :)

The first and third and fourth answers are correct. For the fourth answer I get \(t=-0.127\) when rounded to three decimal places.

In the third answer you have messed up with a minus sign. :)

\[p=p_0 e^{5-1.2t}\]

\[\Rightarrow \ln\left(\frac{p}{p_0}\right)=5-1.2t\]

\[\Rightarrow t=\frac{1}{1.2}\left(5-\ln\left(\frac{p}{p_0}\right)\right)\]

which gives you, $t=3.18$.

 

[JohnP60]

sudharaka thanks for your help understand where I went wrong

 

[Sudharaka]

sudharaka thanks for your help understand where I went wrong

You are welcome. :)

 

[CellCoree]

for reaching out for assistance with your algebra questions. I am happy to help review your answers.

1. Your answers for this question are correct. The addition of 1.28 and subtraction of -0.69 both result in a value of 1.28.

2. Your transposition of the equation is correct. However, I would recommend double checking your calculations for the value of t. It should be approximately -2.18 instead of -3.18.

3. The values for x are correct. When x is equal to 0, the equation would result in a value of 0. When x is equal to 2.5, the equation would result in a value of 2.5.

4. Your values for t and s are both correct. Great job!

Remember to always double check your calculations and make sure your answers make sense in the context of the problem. Best of luck with your algebra studies!