Free Printable Literal Equations

1.

Solve $am=n+p$ for $a.$

a)

$a=\frac{n+p}{m}$

b)

$a=mn+mp$

c)

$a=\frac{m}{n+p}$

d)

$a=\frac{n-p}{m}$

2.

Solve $a-c=d-r$ for $a.$

a)

$a=d-r+c$

b)

$a=d-r-c$

c)

$a=\frac{d-r}{c}$

d)

$a=dc-rc$

3.

Solve $g=ca$ for $a.$

a)

$a=\frac{g}{c}$

b)

$a=gc$

c)

$a=g+c$

d)

$a=g-c$

4.

Solve $A=bh$ for $h.$

a)

$h=\frac{A}{b}$

b)

$h=Ab$

c)

$h=A+b$

d)

$h=A-b$

5.

Solve $P=3s$ for $s.$

a)

$s=\frac{P}{3}$

b)

$s=3P$

c)

$s=P+3$

d)

$s=P-3$

6.

Solve $P=2\pi r$ for $r.$

a)

$r=\frac{P}{2\pi}$

b)

$r=2\pi P$

c)

$r=P+2\pi$

d)

$r=P-2\pi$

7.

Solve for n
$h\ =\ ac\ +\ mn$

a)

$n\ =\ \frac{h\ +\ ac}{m}$

b)

$n\ =\ \frac{m}{h\ -\ ac}$

c)

$n\ =\ m\left(h\ -\ ac\right)$

d)

$n\ =\ \frac{h\ -\ ac}{m}$

8.

Solve $A=\frac{1}{2}bh$ for $b.$

a)

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

b)

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

c)

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

d)

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

9.

Solve $ax+bx=c$ for $x.$

a)

$x=\frac{c}{a+b}$

b)

$x=\frac{c}{a-b}$

c)

$x=\frac{a+b}{c}$

d)

$x=\frac{a-b}{c}$

10.

Solve $u+ka=ba$ for $a.$

a)

$a=\frac{u}{b-k}$

b)

$a=-\frac{u}{k-b}$

c)

$a=\frac{u}{b+k}$

d)

$a=\frac{u}{k-b}$

11.

Solve for d
$C\ =\ \pi d$

a)

$C\ -\ \pi=d$

b)

$C\ +\ \pi=d$

c)

$\pi C=d$

d)

$\frac{C}{\pi}=d$

12.

Solve for h
$V\ =\ lwh$

a)

$V\ -l-w\ =\ h$

b)

$V-lw\ =\ h$

c)

$\frac{V}{lw}=\ h$

d)

$V-\frac{l}{w}=h$

13.

Solve for r:
$LA\ =\ 2\pi rh$

a)

$LA-2\pi h\ =\ r$

b)

$\frac{LA}{2\pi h}=\ r$

c)

$\frac{LA}{2}-\pi h\ =\ r$

d)

$\frac{2LA}{\pi h}=\ r$

14.

Solve for x:
$m\ =\frac{x+y}{2}$

a)

$\ 2m-y=x$

b)

$\frac{2m}{y}=x$

c)

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

d)

$2\left(m-y\right)=x$

15.

Solve the formula for r. What is the 1st step?

a)

Divide each side by t.

b)

Subtract t from each side.

c)

Add t to each side.

d)

Multiply each side by t.

16.

$-3x\ +2c\ =\ 3\ \ \ \ \ \ \ \ solve\ for\ x$

a)

$x=\frac{3-2c}{-3}$

b)

$x\ =\ 6+2c$

c)

$x\ =\ 6-2c$

d)

$x\ =\ \frac{3+2c}{3}$

17.

$a\ =\ 3y-x\ \ \ \ \ \ \ \ \ \ \ \ solve\ for\ x$

a)

$x\ =\ a\ +\ 3y$

b)

$x\ =\ a\ -3y$

c)

$x\ =\ -a\ -3y$

d)

$x\ =\ -a+3y$

18.

Solve for b undefined

a)

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

b)

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

c)

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

d)

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

19.

m - n = 5 $\ \ \ \ \ \ \ Solve\ for\ \ m$

a)

m = 5 + n

b)

m = -5 - n

c)

m = -5 + n

d)

m = 5 - n

20.

Solve for m $y=mx+b$

a)

$m=x+b-y$

b)

$m=y-b-x$

c)

$m=\frac{x-b}{y}$

d)

$m=\frac{y-b}{x}$

21.

$\ u\ =\ bak\$ Solve for a

a)

$a=\frac{u}{bk}$

b)

$a\ =\ \frac{bk}{u}$

c)

$a\ =\ -\frac{bk}{u}$

d)

$a=-\frac{u}{bk}$

22.

$c+a=d+r$ solve for a

a)

$a=-d-r+c$

b)

$a=-c+d+r$

c)

$a=-r+c+d$

d)

$a=-c-d-r$

23.

$F=ma$ Solve for m.

a)

$\frac{F}{a}=m$

b)

$Fa=m$

c)

$\frac{a}{F}=m$

d)

$mF=a$

24.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

25.

8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

26.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

27.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

28.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

29.

a)

b = 3A - a - c

b)

b = -3A + a - c

c)

b = -3A - a - c

d)

b = 2A - c

30.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

31.

Solve:
y = mx + b , for b

a)

y - mx = b

b)

y + mx = b

c)

y/mx = b

d)

y + mx = -b

32.

Solve:
8x + 4y = 16 , for y

a)

y = -2x + 4

b)

y = 2x - 4

c)

y = 2x + 4

d)

y = -2x - 4

33.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

34.

5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

35.

Solve:
V = πr²h , for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

36.

Solve for y

2x - 3y = 5

a)

x = (5 + 3y) /2

b)

y = (5- 2x) / -3

c)

y = 5 - 2x

d)

y = (5 + 2x) / 3

37.

Solve for y:

2(y + 1) = -3x + 6

a)

y = (-3x + 4)/ 2

b)

y = (-3x + 5) / 2

c)

y = (-3x + 6) / 2

d)

y = -3x + 5

38.

Solve for y:

3x + 4y = -8

a)

y = -8 - 3x

b)

y = (-8 - 4y)/ 3

c)

y = (-8 - 3x)/ 4

d)

y = -2 + .75x

39.

Solve for y:

6x - 5y = 20

a)

y = (6x - 20) / 5

b)

y = 20 - 6x

c)

y = -4 + 6x

d)

y = 6x - 4

40.

Solve for y:

x - 3y = -6

a)

y = x + 6

b)

x = -6 + 3y

c)

y = (-6 + x)/ -3

d)

y = (6 + x)/3

41.

Solve for y:

8x - 3y = -9

a)

y = (-9x - 8x)/ 3

b)

x = (3y - 9)/8

c)

y = (8x + 9)/ 3

d)

y = 8x + 9

42.

Solve for y

-2x + 5y = -10

a)

y = (2x - 10)/ 5

b)

y = (-10 - 2x) / 5

c)

y = 10/7

d)

x = 5(y + 2)/2

43.

Solve for y:

-4(x-3) - 2y = -16

a)

y = 4x - 28

b)

y = 28 - 4x

c)

x = y - 7

d)

y = 14 - 2x

44.

Solve for y

11x - 8y = -48

a)

x = 8 - 6y

b)

x = (-48 + 8y)/11

c)

y = (11x + 48)/8

d)

y = 11x + 6

45.

Solve for y:

6x + 5y = -15

a)

y = -15 - 6x

b)

y = (-15 - 6x) /5

c)

y = -3 - 6x

d)

y = -5 ( 6x + 15)

46.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

47.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

48.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

49.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

50.

Solve the equation for w. ^{x = w / a}

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

51.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

52.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

53.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

54.

pV = nRT

solve for R

a)

R= p/n + V/T

b)

R= pV - nT

c)

R= (pV-n)/T

d)

R=pV/nT

55.

Solve:
C = 2πr, for r

a)

C/(2π) = r

b)

C + 2π = r

c)

C - 2π = r

d)

2πC = r

56.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = a / b

57.

Solve for x:
ax - b = c+d

a)

x = a(c + d + b)

b)

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

c)

x = a / (c + b + d)

d)

x= (c + b + d)/a

58.

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)

59.

pV = nRT

solve for n

a)

n= pV/RT

b)

n= p/R + V/T

c)

n= pV - RT

d)

n= (pV-R)/T

60.

Inverse of
division

a)

addition

b)

equals

c)

subtraction

d)

multiplication

61.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

62.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

63.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

64.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

65.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

66.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

67.

Which expression represents the value of e in the equation:

dx + e = f

a)

e = (f + e)/d

b)

e = (f - x)/d

c)

e = d/(x - f)

d)

e = f-dx

68.

Solve the equation for w. ^{x = w / a}

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

69.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

70.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

71.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

72.

pV = nRT

solve for R

a)

R= p/n + V/T

b)

R= pV - nT

c)

R= (pV-n)/T

d)

R=pV/nT

73.

Solve the equation for y.
2x + 3y = 4

a)

y = (4-2x)/3

b)

y = (2x-4)/3

c)

x = (4-3y)/2

d)

y = (4-2x)/ -3

74.

Solve:
C = 2πr, for r

a)

C/(2π) = r

b)

C + 2π = r

c)

C - 2π = r

d)

2πC = r

75.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = a / b

76.

Solve for x:
ax - b = c+d

a)

x = a(c + d + b)

b)

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

c)

x = a / (c + b + d)

d)

x= (c + b + d)/a

77.

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)

78.

pV = nRT

solve for n

a)

n= pV/RT

b)

n= p/R + V/T

c)

n= pV - RT

d)

n= (pV-R)/T

79.

Inverse of
division

a)

addition

b)

equals

c)

subtraction

d)

multiplication

80.

a)

T = PV/K

b)

T = PK/V

c)

T=KV/P

d)

Greenland

81.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

82.

d = rt, solve for r

a)

r = dt

b)

r = d/t

c)

r = d - t

d)

r = d + t

83.

Solve for T, B = T - Lc

a)

T = BLc

b)

T = B - Lc

c)

T = $\frac{B}{Lc}$

d)

T = B + Lc

84.

Solve for h, S = $2\pi rh$

a)

h= $\frac{S}{2\pi r}$

b)

h = $S2\pi r$

c)

h = $S-2\pi r$

d)

h = $\frac{2\pi r}{S}$

85.

Solve for m
$E=mc^2$

a)

$m=E-c^2$

b)

$m=Ec^2$

c)

$m=\frac{2E}{c}$

d)

$m=\frac{E}{c^2}$

86.

$A=\frac{bh}{2}$

Solve for b

a)

$b=2A-h$

b)

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

c)

$b=\frac{Ah}{2}$

d)

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

87.

Solve for b

y = mx + b

a)

b = y - mx

b)

b = mx - y

c)

b = y + mx

d)

b = ymx

88.

Solve for x

y = mx + b

a)

$x=\frac{yb}{m}$

b)

$x=ybm$

c)

$x=\frac{y+b}{m}$

d)

$x=\frac{y-b}{m}$

89.

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

a)

$E=I-R$

b)

$E=I+R$

c)

$E=IR$

d)

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

90.

$V=\pi r^2h$

Solve for h

a)

$h=V-\pi r^2$

b)

$h=2V\pi r$

c)

$h=\frac{2V}{\pi}$

d)

$h=\frac{V}{\pi r^2}$

91.

T = p + prt

Solve for r

a)

$r=Tp-pt$

b)

$r=\frac{Tp}{pt}$

c)

$r=\frac{T-p}{pt}$

d)

$r=T-p-pt$

92.

$A=\frac{\pi r^2S}{360}$

Solve for S

a)

$S=\frac{360A}{\pi r^2}$

b)

$S=360A-\pi r^2$

c)

$S=\frac{A-360}{\pi r^2}$

93.

$p\ =\ 2l\ +\ 2w$
solve for w

a)

$w=\frac{p}{2l}-2$

b)

$w=\frac{p-2l}{2}$

c)

$w=\frac{p+2l}{2}$

d)

$w=2p-l$

94.

$V=\frac{1}{3}Bh$
Solve for h

a)

$h=\frac{1}{3}V-B$

b)

$h=\frac{\frac{1}{3}V}{B}$

c)

$h=3V-B$

d)

$h=\frac{3V}{B}$

95.

P = a + (n - 1)b

Solve for b

a)

$b=\frac{P-a}{n-1}$

b)

$b=\frac{P}{a+\left(n-1\right)}$

c)

$b=\frac{P}{a}-\left(n-1\right)$

d)

$b=\frac{P}{n-1}-a$

96.

$h=vt-16t^2$
Solve for v

a)

$v=\frac{h-16t^2}{t}$

b)

$v=\frac{h}{v}+16t^2$

c)

$v=\frac{h}{v}-16t^2$

d)

$v=\frac{h+16t^2}{t}$

97.

$m=\frac{2E}{v^2}$
Solve for E

a)

$E=\frac{m-v^2}{2}$

b)

$E=\frac{mv^2}{2}$

c)

$E=m-v^2-2$

d)

$E=\frac{2}{mv^2}$

98.

$A=\frac{a+b+c}{3}$
Solve for c

a)

c= 3A + a + b

b)

c = A - 3 - a - b

c)

c = 3A - a - b

99.

$S=\frac{1}{2}at^2$
Solve for $t^2$

a)

$t^2=\frac{2S}{a}$

b)

$t^2=\frac{1}{2}S-a$

c)

$t^2=2S-a$

d)

$t^2=\frac{a}{2S}$

100.

$F=\frac{9}{5}C+32$
Solve for C

a)

$C=\frac{9}{5}\left(F-32\right)$

b)

$C=\frac{9}{5}F-32$

c)

$C=\frac{5}{9}F\ -32$

d)

$C=\frac{5}{9}\left(F-32\right)$

101.

$V=\frac{4}{3}\pi r^3$
Solve for $r^3$

a)

$r^3=\frac{4\pi}{3V}$

b)

$r^3=\frac{3\pi}{4V}$

c)

$r^3=\frac{3V}{4\pi}$

Literal Equations

Total questions: 101

Worksheet time: 10hrs 35mins

Similar Resources on Wayground