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Year 9 - Changing the subject of a formula

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.
Make 'd' the subject given:
s = d ÷ t
a)
d = s + t
b)
d = 2s + 1
c)
d = st
d)
d = s - t
2.
Solve for 'r' if:
2r + 1 = 15
a)
r = -7
b)
r = - 4
c)
r = 8
d)
r = 7
3.

 ax+r = 7  Solve for r.ax+r\ =\ 7\ \ Solve\ for\ r.  

a)

 r=7axr=\frac{7}{ax}  

b)

 r=7−axr=7-ax  

c)

 r=7+axr=7+ax  

d)

 r=7axr=7ax  

4.

Solve for a.

a)

a=pwa=pw

b)

a=pwa=\frac{p}{w}

c)

a=wpa=\frac{w}{p}

d)

a=w+pa=w+p

5.

 8x+4y=168x+4y=16  

Solve for y:

a)

 y=−8x+16y=-8x+16  

b)

 y=2x−4y=2x-4  

c)

 y=−2x+4y=-2x+4  

d)

 y=−8x+12y=-8x+12  

6.
Solve for 'b' if:
(3b + 6) = 12
a)
b = 6
b)
b = 2
c)
b = ½
d)
b = ⅙
7.

 Make x the subject of the formula mx=n.Make\ x\ the\ subject\ of\ the\ formula\ \sqrt{\frac{m}{x}}=n.  

a)

 x=mnx=\frac{m}{n}  

b)

 x=mn2x=\frac{m}{n^2}  

c)

 x=n2mx=\frac{n^2}{m}  

d)

 x=mn2x=mn^2  

8.

Make p the subject of the formula  d=p1+pd=\frac{p}{1+p}  .

a)

 p=d1+dp=\frac{d}{1+d}  

b)

 p=d1−dp=\frac{d}{1-d}  

c)

 p=1+ddp=\frac{1+d}{d}  

d)

 p=1−ddp=\frac{1-d}{d}  

9.

 S=πh(R+r)S=\pi h\left(R+r\right)  

a)

 Sπh−R\frac{S}{\pi h}-R  

b)

 Sπh+R\frac{S}{\pi h}+R  

c)

 R−SπhR-\frac{S}{\pi h}  

d)

 S−Rπh\frac{S-R}{\pi h}  

10.

Make the g the subject: m=2c+gm=2c+g  

a)

 g=m+2cg=m+2c  

b)

 g=m−2cg=m-2c  

c)

 g=2mcg=2mc  

d)

 g=2m−cg=2m-c