Free Printable G8.W7 Manipulating Variables

1.

Make w the subject of the formula

$y=3w-a$

a)

$w=\frac{y}{3}+a$

b)

$w=y+\frac{a}{3}$

c)

$w=\frac{y+a}{3}$

d)

$w=\frac{y-a}{3}$

2.

Make w the subject of the formula

$s=\frac{w}{a}$

a)

$w=\frac{s}{a}$

b)

$w=sa$

c)

$w=\frac{a}{s}$

d)

$w=s+a$

3.

$v=u+10t$ Make u the subject of the formula

a)

$u=v-10t$

b)

$u=v+10t$

c)

$u=\frac{v}{10t}$

d)

$u=\frac{v}{-10t}$

4.

Find a formula for the perimeter of the rectangle.

a)

$3x+1$

b)

$6x+2$

c)

$2x^2+1$

d)

$2x^2+x$

5.

$P=6x+2$ Express x in terms of P.

a)

$x=p-\frac{1}{3}$

b)

$x=\frac{p}{6}-\frac{1}{3}$

c)

$x=\frac{p}{6}+\frac{1}{3}$

d)

$x=\frac{p}{6}-2$

6.

$s=\frac{hm}{4}$ Make m the subject of the formula

a)

$m=\frac{4s}{h}$

b)

$m=\frac{sh}{4}$

c)

$m=\frac{h}{4s}$

d)

$m=\frac{s}{4h}$

7.

Express v in terms of t

$t=\frac{v}{4}+1$

a)

$v=4\left(t-1\right)$

b)

$v=4\left(t+1\right)$

c)

$v=4t-1$

d)

$v=4t+1$

8.

$c=\sqrt{d}+2$ Make d the subject of the formula

a)

$d=\left(c-2\right)^2$

b)

$d=\left(c+2\right)^2$

c)

$d=c^2-2$

d)

$d=c^2+2$

9.

Make b the subject of the formula

$a^2+b^2=c^2$

a)

$b=\sqrt{c^2-a^2}$

b)

$b=\sqrt{a^2-c^2}$

c)

$b=\sqrt{c^2+a^2}$

d)

$b=\sqrt{a^2+c^2}$

10.

$\frac{m+7}{2}=y$

Make m the subject of the formula.

a)

m=y-14

b)

m=7+2y

c)

m=2y+7

d)

m=2y-7

11.

Make p the subject of the formula.

x=6p+2

a)

p=6x-2

b)

$p=\frac{x-2}{6}$

c)

p=2x-6

d)

$p=\frac{x-6}{2}$

12.

Make x the subject of the formula.

v=x+10t

a)

x=v+10t

b)

x=v-10t

c)

x=10t-v

d)

x=10tv

13.

Make R the subject of the formula $I=\frac{PRT}{100}$ .

a)

$R=\frac{100}{IPT}$

b)

$R=\frac{100I}{PT}$

c)

$R=\frac{IPT}{100}$

d)

$R=\frac{PT}{100I}$

14.

Make l the subject of the formula $t=2\pi\sqrt{\frac{l}{g}}$ .

a)

$l=\frac{Tg}{4\pi^2}$

b)

$l=\frac{T^2g}{4^2\pi}$

c)

$l=\frac{T^2g}{4\pi^2}$

d)

$l=\frac{T^2g}{4\pi}$

15.

$IR=V$ $Solve\ for\ R$

a)

$R=IV$

b)

$R=\frac{I}{V}$

c)

$R=\frac{V}{I}$

d)

$R=V-I$

G8.W7 Manipulating Variables

Total questions: 15

Worksheet time: 9mins

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