Free Printable Subject of the formula

1.

Make a the subject of
a + b = c

a)

a = c - b

b)

a = b - c

c)

a = b + c

d)

a = bc

2.

Make a the subject of
a + b = c + d

a)

a = c + d - b

b)

a = b + c + d

c)

a = b + c - d

d)

a = c - b - d

3.

Make w the subject of
A = lw

a)

w = A/l

b)

w = l/A

c)

w = A - l

d)

w = Al

4.

Make x the subject of y = mx + 1

a)

x = (y - 1)/m

b)

x = y - 1/m

c)

x = y/m - 1

d)

x = my - 1

5.

Make r the subject:
C = 2πr

a)

r = C/2π

b)

r = C - 2π

c)

r = 2πC

d)

r = Cπ/2

6.

Which of the following has "a" as the subject of the formula?

a)

b)

c)

d)

7.

Change the subject of the equation to x.

A x - y = P

4 lines

8.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = ^(R-c)/_a

9.

Solve for y:
3x + y = 12

a)

y = -3x +12

b)

x = y + 4

c)

x = y + 12

d)

y = 3x -12

10.

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

a)

$r=\frac{7}{ax}$

b)

$r=7-ax$

c)

$r=7+ax$

d)

$r=7ax$

11.

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

a)

$R=IV$

b)

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

c)

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

d)

$R=V-I$

12.

$dx+e=f$
Which expression represents the value of x in the equation:

a)

$x=\frac{f+e}{d}$

b)

$x=\frac{f-e}{d}$

c)

$x=\frac{d}{e-f}$

d)

$x=\frac{d}{e+f}$

13.

A=5ab make b the subject

a)

b=A/5a

b)

b=5Aab

c)

b=5Ab

d)

b=5a/A

14.

w = mgh make h the subject of the formula

a)

w = mgh

b)

h = mg/w

c)

h = w/mg

d)

h = wg/

15.

A=5ab [b]

a)

b=A/5a

b)

b=5Aab

c)

b=5Ab

d)

b=5a/A

16.

5x=3y-z [y]

a)

y=-z+3-5x

b)

y=5x-z/3

c)

y=(5x-z)/3

d)

y=(5x+z)/3

17.

2p-a=3p+b

a)

p=(a-b)

b)

p=-ab

c)

p=-(a+b)

d)

p=a+b

18.

P=(m+M)f

a)

M=Pm-f

b)

M=P/f-m

c)

M=Pm+f

d)

M=f-m/P

19.

v=u+at [a]

a)

(u-v)/t

b)

(v-u)/t

c)

t(v-u)

d)

t(u-v)

20.

ab+c=bc-a [a]

a)

a=c(b-1)/(b+1)

b)

a=c(b+1)/(b-1)

c)

a=c(1-b)/(b+1)

d)

a=c(1-b)/(b-1)

21.

rx + s = cex + d

a)

X = d - s / c - r

b)

X = r + d / c - s

c)

X = j+ d / s + k

d)

X = s + k / j + d

22.

4 - 2x = 3(9x + 2)

a)

-4 / 28

b)

28 / -4

c)

-2 / 29

d)

3 / 33

23.

5(x + 2) = 3(x + 11)

a)

X = 56 / 2

b)

X = 23 / 2

c)

X = 12/ 2

d)

X = 2/5

24.

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

a)

X = bd - ac / a - b

b)

X = db + gh / f - f

c)

X = fd - ac / s - d

d)

X = ac + br / d - s

25.

3 - 7x = 5

a)

X = 5 - 7

b)

X = 7x - 5

c)

X = 4 / 8

d)

X = - 2 / 7

26.

5x + 2 = 3x + 11

a)

X = 3 / 6

b)

X = 6 / 3

c)

X = 9 / 2

d)

X = 2 /9

27.

3 + x = 5

a)

X = 4

b)

X = 3

c)

X = 2

d)

X = 1

28.

4 - 9x = 10

a)

X = 4 / 5

b)

X = 3 / 9

c)

X = -6 / 9

d)

X = 2 / 9

29.

7 + 7x = 10

a)

X = - 7 / -3

b)

X = -3 / 7

c)

X = 7 / 3

d)

X = 3 / 7

30.

9 + 8x = 2

a)

X = 6 / 4

b)

X = -7 / 8

c)

X = 8 / 5

d)

X = 5 / 8

31.

$Solve\ for\ l:\ A=l\times b$

a)

$\frac{A}{b}$

b)

$\frac{b}{A}$

c)

$A\times b$

d)

$A-b$

32.

$Solve\ for\ L:\ S=\pi rL$

a)

$S-\pi r$

b)

$\frac{S}{\pi r}$

c)

$S\pi r$

d)

$\frac{\pi r}{S}$

33.

$Solve\ for\ f:\ v=u+ft$

a)

$\frac{v+u}{t}$

b)

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

c)

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

d)

$v-u-t$

34.

$Solve\ for\ T;\ P=\frac{RT}{V}$

a)

$\frac{PV}{R}$

b)

$\frac{PR}{V}$

c)

$PRV$

d)

$P+V-R$

35.

$Solve\ for\ m;\ P=\frac{m\left(v-u\right)}{t}$

a)

$\frac{Pt}{v+u}$

b)

$\frac{Pt}{v-u}$

c)

$Pt-v+u$

d)

$\frac{Pt}{vu}$

36.

$Solve\ for\ r;\ V=\pi r^2h$

a)

$\sqrt{\frac{\pi h}{V}}$

b)

$\frac{V}{\pi h}$

c)

$\sqrt{\frac{V}{\pi h}}$

d)

$\frac{\pi h}{V}$

37.

$Solve\ for\ R;\ I=\frac{E}{R}$

a)

$I-E$

b)

$IE$

c)

$\frac{I}{E}$

d)

$\frac{E}{I}$

38.

$Solve\ for\ t;\ s=\frac{\left(v-u\right)t}{2}$

a)

$\frac{2s}{v-u}$

b)

$\frac{2s}{v+u}$

c)

$\frac{v-u}{2s}$

d)

$\frac{v+u}{2s}$

39.

$Solve\ for\ t:\ u=v-ft$

a)

$\frac{v+u}{f}$

b)

$\frac{v-u}{f}$

c)

$\frac{f}{v-u}$

d)

$\frac{f}{u+v}$

40.

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)

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

41.

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)

$w=s+a$

42.

$v=tu^2$ Find the value of V when $u=4$ and $t=3$

a)

48

b)

43

c)

33

d)

44

43.

Find a formula for the perimeter of the rectangle.

a)

$3x+1$

b)

$6x+2$

c)

$2x^2+1$

d)

$2x^2+x$

44.

$P=6x+2$ 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)

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

45.

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

a)

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

b)

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

c)

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

d)

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

46.

$c=\sqrt{d}+2$ 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)

$d=c^2+2$

47.

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)

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

48.

Make x the subject of the formula.

y=2x+8

a)

x=2y-8

b)

$x=\frac{y-8}{2}$

c)

x=8-y

d)

x=y-8

49.

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

Make m the subject of the formula.

a)

m=y-14

b)

m=7+2y

c)

m=2y+7

d)

m=2y-7

50.

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)

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

51.

IR = V
(solve for R)

a)

R = IV

b)

R = ^I/_V

c)

R = ^V/_I

d)

R = V - I

52.

Make 'x' the subject of the formula:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

53.

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)

54.

a)

T = PV/K

b)

T = PK/V

c)

T=KV/P

d)

Greenland

55.

In A=5ab, make [b] the subject of the formula

a)

b=A/5a

b)

b=5Aab

c)

b=5Ab

d)

b=5a/A

56.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

57.

Make b the subject of the formula $A=\frac{1}{2}\left(a+b\right)h$ .

a)

$b=\frac{h}{2A}-a$

b)

$b=\frac{2A}{h}+a$

c)

$b=\frac{2A}{h}-a$

d)

$b=\frac{h}{2A}+a$

58.

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

a)

$p=\frac{d}{1+d}$

b)

$p=\frac{d}{1-d}$

c)

$p=\frac{1+d}{d}$

d)

$p=\frac{1-d}{d}$

59.

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)

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

60.

Make s the subject of the formula $v^2=u^2+2fs$ .

a)

$s=\frac{v^2+u^2}{2f}$

b)

$s=\frac{v^2-u^2}{2f}$

c)

$s=\frac{v^2}{u^2-2f}$

d)

$s=\frac{u^2}{v_{ }^2+2f}$

61.

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)

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

62.

Make s the subject of the formula $t=\frac{-u+\sqrt{u^2+2gs}}{g}$ .

a)

$s=\frac{t\left(gt+2u\right)}{-2}$

b)

$s=\frac{t\left(g+2u\right)}{2t}$

c)

$s=\frac{t\left(gt+2u\right)}{2}$

d)

$s=\frac{t\left(gt+2\right)}{2u}$

Subject of the formula

Total questions: 62

Worksheet time: 1hrs 15mins

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