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Worksheets

Solving Literal Equations

Total questions: 22

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

A - B = C

(solve for A)

a)
A = C - B
b)
A = C + B
c)
A - C = B
d)
B = A - C
2.

IR = V

(solve for R)

a)

R=IVR=IV  

b)

R=IVR=\frac{I}{V}  

c)

R=VIR=\frac{V}{I}  

d)

R=V−IR=V-I  

3.

W=ALW=\frac{A}{L}  

(solve for A)

a)

A=WLA=\frac{W}{L}  

b)

A=LWA=LW  

c)

A=W+LA=W+L  

d)

A=W−LA=W-L  

4.

cy=10cy=10  

Solve for y.

a)

y=10cy=\frac{10}{c}    

b)

y=10−cy=10-c  

c)

y=10cy=10c  

d)

y=10+cy=10+c  

5.

Given ax−b=c, solve for x. Given\ ax-b=c,\ solve\ for\ x.\  

a)

x = c+bax\ =\ \frac{c+b}{a}  

b)

x = c−bax\ =\ \frac{c-b}{a}  

c)

x = a+bcx\ =\ \frac{a+b}{c}  

d)

x = c+abx\ =\ \frac{c+a}{b}  

6.

Given d=rt, solve for r. Given\ d=rt,\ solve\ for\ r.\  

a)

r=tdr=\frac{t}{d}  

b)

t = drt\ =\ \frac{d}{r}  

c)

d=rtd=\frac{r}{t}  

d)

r=dtr=\frac{d}{t}  

7.

Solve: C=2πr, for rSolve:\ C=2\pi r,\ for\ r  



a)

r=C2πr=\frac{C}{2\pi}  

b)

r=C+2πr=C+2\pi  

c)

r=C−2πr=C-2\pi  

d)

r=2πCr=2\pi C  

8.

Solve y = mx + b for x.Solve\ y\ =\ mx\ +\ b\ for\ x.  

a)

x=(y−b)mx=\frac{\left(y-b\right)}{m}  

b)

x = y−bmx\ =\ y-\frac{b}{m}  

c)

x=ym−bx=\frac{y}{m}-b  

9.

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}  

10.

y= zx  solve for xy=\ \frac{z}{x}\ \ solve\ for\ x  

a)

x = yzx\ =\ \frac{y}{z}  

b)

x = zyx\ =\ \frac{z}{y}  

c)

x = yzx\ =\ yz  

d)

x = y − zx\ =\ y\ -\ z  

11.

Solve for y.

a)

y=aby=\frac{a}{b}  

b)

y=a - b

c)

y=ab

d)

y=a + b

12.

Solve for y.

a)

y=t20y=\frac{t}{20}      

b)

y=t - 20

c)

y=20t

d)

y= t + 20

13.

Solve for y.

a)

y=aby=\frac{a}{b}  

b)

y=a - b

c)

y=ab

d)

y=a + b

14.

Solve for y.

a)

y=bcy=\frac{b}{c}   

b)

y=b - c

c)

y=bc

d)

y=b + c

15.

Solve for y.

a)

y=10cy=\frac{10}{c}    

b)

y=10 - c

c)

y=10c

d)

y=10 + c

16.

Solve for y.

a)

y=11fpy=\frac{11f}{p}  

b)

y=11f - p

c)

y=11f + p

d)

y= 11fp

17.

Solve for y.

a)

y=t20y=\frac{t}{20}      

b)

y=t - 20

c)

y=20t

d)

y= t + 20

18.

Solve for y.

a)

y= g + 6

b)

y= g - 6

c)

y=g6y=\frac{g}{6}  

d)

y=6g

19.

Solve for y.

a)

y= m + p

b)

y= m - p

c)

y= mp 

d)

y=mpy=\frac{m}{p}  

20.

Solve for y.

a)

y= au

b)

y= u - a

c)

y= u + a

d)

y=uay=\frac{u}{a}

21.
Solve m - n = 5 for m.
a)
m = 5 + n
b)
m = -5 - n
c)
m = -5 + n
d)
m = 5 - n
22.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v