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Worksheets

Solving for a Specific Variable

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.

Solve the formula for d:  C = π⋅dC\ =\ \pi\cdot d  

a)

 d = cπd\ =\ \frac{c}{\pi}  

b)

 d = πCd\ =\ \frac{\pi}{C}  

c)

 d = C⋅πd\ =\ C\cdot\pi  

d)

Not enough information to solve

2.

Solve for x:  3x + y = z3x\ +\ y\ =\ z  

a)

 x = z − y3x\ =\ \frac{z\ -\ y}{3}  

b)

 x = y − z3x\ =\ \frac{y\ -\ z}{3}  

c)

 x = z − y − 3x\ =\ z\ -\ y\ -\ 3  

d)

Not enough information to solve

3.

Solve for a:  a + b5=f\frac{a\ +\ b}{5}=f  

a)

 a = b + 5fa\ =\ b\ +\ 5f  

b)

 a = f5− ba\ =\ \frac{f}{5}-\ b  

c)

 a = 5f − ba\ =\ 5f\ -\ b  

d)

Not enough information to solve

4.
ax+r=7
solve for r
a)
r=7/ax
b)
r=7-ax
c)
r=7+ax
d)
r=7ax
5.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
6.
Solve for y:
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
7.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
8.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
9.
Which expression represents the value of x in the equation:
dx + e = f
a)
x = (f + e)/d
b)
x = (f - e)/d
c)
x = d/(e - f)
d)
x = d/(e + f)
10.

Solve for x:

ax - b = cx + d

a)

x = (a-c)/(b+d)

b)

x = (b+d)/(a-c)

c)

x = (b+d)/(a+c)

d)

x = (a+c)/(b-d)

11.
a)
T = PV/K
b)
T = PK/V
c)
T=KV/P
d)
Greenland
12.
w=g+7
solve for g
a)
g=w/7
b)
g=w+7
c)
g=7w
d)
g=w-7
13.
y=x-9
solve for x
a)
x=9-y
b)
x=9y
c)
x=y+9
d)
x=9/y
14.
M=T-R
solve for T
a)
T=M+R
b)
T=M-R
c)
T=-R-M
d)
T=RM
15.

6w – y = 2z, for w

a)

w=(2y−z)6w=\frac{\left(2y-z\right)}{6}

b)

w=(2z+y)6w=\frac{\left(2z+y\right)}{6}

c)

w=y−2z(6)w=y-2z\left(6\right)

d)

w=6y−2zw=6y-2z

16.

d = rt, for r

a)

r=t/d

b)

r=dt

c)

r = 𝒅/t

d)

r=td

17.

 A=lw for wA=lw\ for\ w  

a)

 w=Alw=\frac{A}{l}  

b)

 w=Alw=Al  

c)

 w=lAw=\frac{l}{A}  

d)

 w=lAw=lA  

18.

 I=prt; for rI=prt;\ for\ r  

a)

 r=pItr=pIt  

b)

 r=Iptr=\frac{I}{pt}  

c)

 r=tpIr=\frac{t}{pI}  

d)

 r=pItr=\frac{p}{It}  

19.

 v=lwh; for lv=lwh;\ for\ l  

a)

 l=vwhl=vwh  

b)

 l=vwhl=\frac{v}{wh}  

c)

 l=whvl=\frac{wh}{v}  

d)

 l=vwhl=\frac{vw}{h}  

20.

 C=2πr; for πC=2\pi r;\ for\ \pi  

a)

 π=C2r\pi=\frac{C}{2r}  

b)

 π=2rC\pi=\frac{2r}{C}  

c)

 π=C2r\pi=C2r  

d)

 π=r2C\pi=\frac{r}{2C}  

21.

 v=lwh; for hv=lwh;\ for\ h  

a)

 h=lvwh=lvw  

b)

 h=lwvh=\frac{lw}{v}  

c)

 h=vlwh=\frac{v}{lw}  

d)

 v=lwhv=lwh  

22.

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

a)

 F=59C+32F=\frac{5}{9}C+32  

b)

 F=59C −32F=\frac{5}{9}C\ -32  

c)

 F=95C −32F=\frac{9}{5}C\ -32  

d)

 F=95C +32F=\frac{9}{5}C\ +32  

23.

 ax−5 = b; for aax-5\ =\ b;\ for\ a  

a)

 x(b+5)x\left(b+5\right)  

b)

 (b−5)x\frac{\left(b-5\right)}{x}  

c)

 (b+5)x\frac{\left(b+5\right)}{x}  

d)

 x(b−5)x\left(b-5\right)  

24.
S=6n-12
solve for n
a)
n=(S/6)+2
b)
n=(S/6)+1/2
c)
n=(S/2)+6
d)
n=6S+12
25.

8x + 4y= 16 for y


Reminder: Show your solutions by attaching it as a HW on Google classroom.

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12