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Worksheets

[Eng Apps] Algebra and Spreadsheets Review

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Given the equation:

 P = 2L + 2WP\ =\ 2L\ +\ 2W  
solve for the variable → LL 

a)

 L = P2W 2L\ =\ \frac{P-2W}{\ 2}  

b)

 L= P2W2L=\ P-\frac{2W}{2}  

c)

 L = P+2W2L\ =\ P+\frac{2W}{2}  

d)

 L=P+2W2L=\frac{P+2W}{2}  

2.

Given the equation:

 A=πr2A=\pi r^2  
solve for the variable → rr 

a)

 r=Aπr=\sqrt{\frac{A}{\pi}}  

b)

 r=πAr=\sqrt{\frac{\pi}{A}}  

c)

 r=Aπr=\frac{\sqrt{A}}{\pi}  

d)

 r=πAr=\frac{\sqrt{\pi}}{A}  

3.

Given the equation:

 V=πr2hV=\pi r^2h  
solve for the variable → rr 

a)

 r=Vhπr=\sqrt{\frac{V}{h\pi}}  

b)

 r=πhVr=\sqrt{\frac{\pi}{hV}}  

c)

 r=Vhπr=\frac{\sqrt{Vh}}{\pi}  

d)

 r=πVhr=\frac{\sqrt{\pi}}{Vh}  

4.

Given the equation:

 V=πr2hV=\pi r^2h  
solve for the variable → hh 

a)

 h = Vπr2h\ =\ \frac{V}{\pi r^2}  

b)

 h=πr2Vh=\frac{\pi r^2}{V}  

c)

 h=Vπrh=\sqrt{\frac{V}{\pi r}}  

d)

 h=πrVh=\sqrt{\frac{\pi r}{V}}  

5.

Given the equation:

 V=13πr2hV=\frac{1}{3}\pi r^2h  
solve for the variable → rr 

a)

 r=3Vhπr=\sqrt{\frac{3V}{h\pi}}  

b)

 r=π3hVr=\sqrt{\frac{\pi}{3hV}}  

c)

 r=3Vhπr=\frac{\sqrt{3Vh}}{\pi}  

d)

 r=π3Vhr=\frac{\sqrt{\pi}}{3Vh}  

6.

Given the equation:

 V=13πr2hV=\frac{1}{3}\pi r^2h  
solve for the variable → hh 

a)

 h = 3Vπr2h\ =\ \frac{3V}{\pi r^2}  

b)

 h=πr23Vh=\frac{\pi r^2}{3V}  

c)

 h=3Vπrh=\sqrt{\frac{3V}{\pi r}}  

d)

 h=πr3Vh=\sqrt{\frac{\pi r}{3V}}  

7.

Given the equation:

 V=43πr3V=\frac{4}{3}\pi r^3 
solve for the variable → rr 

a)

 r=(3V4π)13r=\left(\frac{3V}{4\pi}\right)^{\frac{1}{3}}  

b)

 r=(4V3π)13r=\left(\frac{4V}{3\pi}\right)^{\frac{1}{3}}  

c)

 h=3V4πrh=\sqrt{\frac{3V}{4\pi r}}  

d)

 h=4πr3Vh=\sqrt{\frac{4\pi r}{3V}}  

8.

Given the equation:

 V=43πr3+πr2hV=\frac{4}{3}\pi r^3+\pi r^2h 
solve for the variable → hh 

a)

 h=V43πr3πr2h=\frac{V-\frac{4}{3}\pi r^3}{\pi r^2}  

b)

 h=Vπr343πr2h=\frac{V-\pi r^3}{\frac{4}{3}\pi r^2}  

c)

 h=4Vπr33πr2h=\frac{4V-\pi r^3}{3\pi r^2}  

d)

 h=3Vπr34πr2h=\frac{3V-\pi r^3}{4\pi r^2}  

9.

Given the equation:

 S=2πr(r+h)S=2\pi r\left(r+h\right) 
solve for the variable → hh 

a)

 h=S2πrrh=\frac{S}{2\pi r}-r  

b)

 h=S2πr2h=\frac{S}{2\pi r^2}  

c)

 h=Sπr2rh=\frac{S}{\pi r}-2r  

d)

 h=2Sπrrh=\frac{2S}{\pi r}-r  

10.

Given the equation:

 S=4πr2+2πrhS=4\pi r^2+2\pi rh 
solve for the variable → hh 

a)

 h=S4πr22πrh=\frac{S-4\pi r^2}{2\pi r}  

b)

 h=2Sπr24πrh=\frac{2S-\pi r^2}{4\pi r}  

c)

 h=4πr2S2πrh=\frac{4\pi r^2}{S-2\pi r}  

d)

 h=2πr2S4πrh=\frac{2\pi r^2}{S-4\pi r}  

11.

What is the spreadsheet formula version of the equation:

 S=2\pi r\left(r+h\right)  

a)

= 2*pi( )*r*(r+h)

b)

= 2pi( )*r(r+h)

c)

= 2pi( )*(r^2+h)

d)

= (2*pi( )*r)(r+h)

12.

What is the spreadsheet formula version of the equation:

 r=3V2πhr=\sqrt{\frac{3V}{2\pi h}}  

a)

= ((3*V)/(2*pi()*h))^(1/2)

b)

= ((3*V)/(2*pi()*h))^1/2

c)

= (3*V)/(2*pi()*h)^(1/2)

d)

= (3*V)/(2*pi()*h)^1/2

13.

What is the spreadsheet formula version of the equation:

 r=(3V4π)(13)r=\left(\frac{3V}{4\pi}\right)^{\left(\frac{1}{3}\right)}  

a)

= ((3*V)/(4*pi()))^(1/3)

b)

= ((3*V)/(4*pi()))^1/3

c)

= (3*V)/(4*pi())^(1/3)

d)

= ((3*V)/(4*pi))^(1/3)

14.

What is the spreadsheet formula version of the equation:

 S=4πr2+2πrhS=4\pi r^2+2\pi rh  

a)

= (4*pi()*r^2) + (2*pi()*r*h)

b)

= (4pi()*r^2) + (2pi()*r*h)

c)

= 4pi()*r^2+2pi()*r*h

d)

= (4*pi*r^2)+(2*pi*r*h)

15.

What is the spreadsheet formula version of the equation:

 S=43πr3+πr2hS=\frac{4}{3}\pi r^3+\pi r^2h  
Assume the value for  rr  is in cell C3.

a)

= ((4/3)*pi()*C3^3) + (pi()*C3^2*h)

b)

= (4/3)pi()*r^3 + pi()*r*r*h

c)

= ((4/3)*pi()*r^3) + (pi()*r^2*h)

d)

= (4/3)pi()C3^3 + pi()C3^2h