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Solving Literal Equations

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

d = rt, solve for r

a)

r = dt

b)

r = d/t

c)

r = d - t

d)

r = d + t

2.

Solve for T, B = T - Lc

a)

T = BLc

b)

T = B - Lc

c)

T = BLc\frac{B}{Lc}

d)

T = B + Lc

3.

Solve for h,      S =  2πrh2\pi rh  

a)

h=  S2πr\frac{S}{2\pi r}  

b)

h =  S2πrS2\pi r  

c)

h =  S−2πrS-2\pi r  

d)

h =  2πrS\frac{2\pi r}{S}  

4.

Solve for m
 E=mc2E=mc^2  

a)

 m=E−c2m=E-c^2  

b)

 m=Ec2m=Ec^2  

c)

 m=2Ecm=\frac{2E}{c}  

d)

 m=Ec2m=\frac{E}{c^2}  

5.

 A=bh2A=\frac{bh}{2} 

Solve for b

a)

 b=2A−hb=2A-h  

b)

 b=2Ahb=\frac{2A}{h}  

c)

 b=Ah2b=\frac{Ah}{2}  

d)

 b=A−2hb=\frac{A-2}{h}  

6.

Solve for b

y = mx + b

a)

b = y - mx

b)

b = mx - y

c)

b = y + mx

d)

b = ymx

7.

Solve for x

y = mx + b

a)

x=ybmx=\frac{yb}{m}

b)

x=ybmx=ybm

c)

x=y+bmx=\frac{y+b}{m}

d)

x=y−bmx=\frac{y-b}{m}

8.

 I=ERI=\frac{E}{R}  Solve for E

a)

 E=I−RE=I-R  

b)

 E=I+RE=I+R  

c)

 E=IRE=IR  

d)

 E=IRE=\frac{I}{R}  

9.

 V=πr2hV=\pi r^2h  

Solve for h

a)

 h=V−πr2h=V-\pi r^2  

b)

 h=2Vπrh=2V\pi r  

c)

 h=2Vπh=\frac{2V}{\pi}  

d)

 h=Vπr2h=\frac{V}{\pi r^2}  

10.

T = p + prt

Solve for r

a)

r=Tp−ptr=Tp-pt

b)

r=Tpptr=\frac{Tp}{pt}

c)

r=T−pptr=\frac{T-p}{pt}

d)

r=T−p−ptr=T-p-pt

11.

 A=πr2S360A=\frac{\pi r^2S}{360}  

Solve for S

a)

 S=360Aπr2S=\frac{360A}{\pi r^2}  

b)

 S=360A−πr2S=360A-\pi r^2  

c)

 S=A−360πr2S=\frac{A-360}{\pi r^2}  

12.

 p = 2l + 2wp\ =\ 2l\ +\ 2w  
solve for w

a)

 w=p2l−2w=\frac{p}{2l}-2  

b)

 w=p−2l2w=\frac{p-2l}{2}  

c)

 w=p+2l2w=\frac{p+2l}{2}  

d)

 w=2p−lw=2p-l  

13.

 V=13BhV=\frac{1}{3}Bh  
Solve for h

a)

 h=13V−Bh=\frac{1}{3}V-B  

b)

 h=13VBh=\frac{\frac{1}{3}V}{B}  

c)

 h=3V−Bh=3V-B  

d)

 h=3VBh=\frac{3V}{B}  

14.

P = a + (n - 1)b

Solve for b

a)

b=P−an−1b=\frac{P-a}{n-1}

b)

b=Pa+(n−1)b=\frac{P}{a+\left(n-1\right)}

c)

b=Pa−(n−1)b=\frac{P}{a}-\left(n-1\right)

d)

b=Pn−1−ab=\frac{P}{n-1}-a

15.

 h=vt−16t2h=vt-16t^2  
Solve for v

a)

 v=h−16t2tv=\frac{h-16t^2}{t}  

b)

 v=hv+16t2v=\frac{h}{v}+16t^2  

c)

 v=hv−16t2v=\frac{h}{v}-16t^2  

d)

 v=h+16t2tv=\frac{h+16t^2}{t}  

16.

 m=2Ev2m=\frac{2E}{v^2}  
Solve for E

a)

 E=m−v22E=\frac{m-v^2}{2}  

b)

 E=mv22E=\frac{mv^2}{2}  

c)

 E=m−v2−2E=m-v^2-2  

d)

 E=2mv2E=\frac{2}{mv^2}  

17.

 A=a+b+c3A=\frac{a+b+c}{3}  
Solve for c

a)

c= 3A + a + b

b)

c = A - 3 - a - b

c)

c = 3A - a - b

18.

 S=12at2S=\frac{1}{2}at^2  
Solve for  t2t^2  

a)

 t2=2Sat^2=\frac{2S}{a}  

b)

 t2=12S−at^2=\frac{1}{2}S-a  

c)

 t2=2S−at^2=2S-a  

d)

 t2=a2St^2=\frac{a}{2S}  

19.

 F=95C+32F=\frac{9}{5}C+32  
Solve for C

a)

 C=95(F−32)C=\frac{9}{5}\left(F-32\right)  

b)

 C=95F−32C=\frac{9}{5}F-32  

c)

 C=59F −32C=\frac{5}{9}F\ -32  

d)

 C=59(F−32)C=\frac{5}{9}\left(F-32\right)  

20.

 V=43πr3V=\frac{4}{3}\pi r^3  
Solve for  r3r^3  

a)

 r3=4π3Vr^3=\frac{4\pi}{3V}  

b)

 r3=3π4Vr^3=\frac{3\pi}{4V}  

c)

 r3=3V4πr^3=\frac{3V}{4\pi}