Free Printable Solving Literal Equations

1.

Solve for x.
x + 7g = 9

a)

x = 9 - 7g

b)

x = 9 / 7g

c)

x = 9 + 7g

d)

x = 7g - 9

2.

Solve for w $A=lw$

a)

$w=Al$

b)

$w=\frac{A}{l}$

c)

$w=A-l$

d)

$w=A+L$

3.

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

a)

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

b)

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

c)

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

d)

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

4.

Solve for m $y=mx+b$

a)

$m=x+b-y$

b)

$m=y-b-x$

c)

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

d)

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

5.

Solve for a $p=\frac{w}{a}$

a)

$a=pw$

b)

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

c)

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

d)

$a=2wp$

6.

Identify each equation that is a

literal equation.

a)

4a² + 3b - 7 = 12

b)

x² + 4x - 5 = 3x

c)

t = 3r - 5

d)

2n + 2(n - 5) = 13 + n

e)

3x + 15 = 3x - 12

7.

Solve for x.

z = xy

a)

x = ^z/_y

b)

x = ^y/_z

c)

x = yz

d)

x = z - y

8.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

9.

$Solve\ for\ \ v\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ D=\frac{m}{v}$

a)

V = mv

b)

V = Dm

c)

V = m/v

d)

V = v/m

10.

$Solve\ for\ \ \ b\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ A=\ \frac{1}{5}bh$

a)

b= Ah

b)

b = 1/5Ah

c)

5b=Ah

d)

5A/h=b

11.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

12.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

13.

Solve for x: u = 2x - 2

a)

$x\ =\ u-1$

b)

$x\ =\ \frac{2}{u}\ +2$

c)

x $x\ =\ \frac{\left(u-2\right)}{2}$

d)

$x\ =\ \frac{u}{2}+1$

14.

Solve for a: 12am = 4

a)

$a\ =\frac{1}{3m}$

b)

a = 4 -12m

c)

$a\ =\ \frac{12m}{4}$

d)

$a\ =\ 12m\ -\ 4$

15.

Solve for a: $u\ =\ \frac{\left(ak\right)}{b}$

a)

a = ukb

b)

a = uk + b

c)

$a\ =\ \frac{\left(ub\right)}{k}$

d)

$a\ =\ \frac{k}{ub}$

16.

$x\ =\ \frac{\left(4-k\right)}{6}$

Solve for k:

a)

$k=6x\ -4$

b)

$k\ =\ \frac{\left(x-6\right)}{4}$

c)

k = 24-x

d)

$k=\ 4-6x$

17.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

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

b)

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

c)

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

d)

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

18.

2. Given 15x + 1 = y, solve for x.

a)

$x\ =\frac{y+1}{15}$

b)

$x\ =\frac{y-15}{1}$

c)

$x\ =\frac{y-1}{15}$

d)

$x\ =\frac{y+15}{1}$

19.

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

a)

$C\ -\ \pi=d$

b)

$C\ +\ \pi=d$

c)

$\pi C=d$

d)

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

20.

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)

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

21.

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

a)

$\ 2m-y=x$

b)

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

c)

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

d)

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

22.

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.

23.

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

a)

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

b)

$x\ =\ 6+2c$

c)

$x\ =\ 6-2c$

d)

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

24.

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

a)

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

b)

$x\ =\ a\ -3y$

c)

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

d)

$x\ =\ -a+3y$

25.

Solve for m $y=mx+b$

a)

$m=x+b-y$

b)

$m=y-b-x$

c)

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

d)

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

26.

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

a)

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

b)

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

c)

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

d)

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

27.

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

a)

$a=-d-r+c$

b)

$a=-c+d+r$

c)

$a=-r+c+d$

d)

$a=-c-d-r$

28.

$F=ma$ Solve for m.

a)

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

b)

$Fa=m$

c)

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

d)

$mF=a$

29.

Solve the following equation for the indicated variable:

b=-3c\ \ ,\ \ for\ c

a)

$c=3b$

b)

$c=-3b$

c)

$c=\frac{b}{3}$

d)

$c=-\frac{b}{3}$

30.

Solve the following equation for the indicated variable:

t=\frac{1}{4}v\ \ ,\ \ for\ v

a)

$v=4t$

b)

$v=t-4$

c)

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

d)

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

31.

Solve the following equation for the indicated variable:

a=3b-9\ \ ,\ \ for\ b

a)

$b=3a+3$

b)

$b=\frac{1}{3}a+3$

c)

$b=a-3$

d)

$b=\frac{1}{3}a-3$

32.

Solve the following equation for the indicated variable:

q=5r+35\ \ ,\ \ for\ r

a)

$r=\frac{1}{5}q-7$

b)

$r=5q+7$

c)

$r=5q-7$

d)

$r=35q$

33.

Solve the following equation for the indicated variable:

3w=3s+81\ \ ,\ \ for\ s

a)

$s=w+27$

b)

$s=w-27$

c)

$s=3w-27$

d)

$s=\frac{1}{3}w-27$

34.

Solve the following equation for the indicated variable:

3x-3y=6\ \ ,\ \ for\ x

a)

$x=y-2$

b)

$x=\frac{1}{3}y-2$

c)

$x=\frac{1}{3}y+2$

d)

$x=y+2$

35.

$z\ =\ m-x\ \ \ solve\ for\ x$

a)

$x\ =\ z\ -\ m$

b)

$x\ =\ -z\ +m$

c)

$x\ =\ z\ +m$

d)

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

36.

$3y\ =\ 2g\left(x+h\right)\ \ solve\ for\ x$

a)

$x\ =\ \frac{3y+h}{2g}$

b)

$x\ =\ \frac{3y-h}{2g}$

c)

$x\ =\ \frac{3y}{2g}+h$

d)

$x\ =\ \frac{3y}{2g}-h$

37.

$D\ =\ \frac{4}{5}\left(x-12\right)\ \ solve\ for\ x$

a)

$x\ =\ \frac{4}{5}D\ +12$

b)

$x\ =\ \frac{5}{4}D\ +12$

c)

$x\ =\ \frac{5}{4}D\ -12$

d)

$x\ =\ \frac{4}{5}D\ -12$

38.

$B\ =\ \frac{1}{2}y\left(2x\ -\ 3\right)\ \ solve\ for\ x$

a)

$x\ =\ \frac{2B}{y}-3$

b)

$x\ =\ \frac{2B}{y\ }+3$

c)

$x\ =\ \frac{B}{y\ }+\frac{3}{2}$

d)

$x\ =\ \frac{B}{y}-\frac{3}{2}$

39.

$d\ =\ 3xy\ -\ y\ \ solve\ for\ x$

a)

$x\ =\ \frac{d-y}{3y}$

b)

$x\ =\ \frac{d+y}{3y}$

c)

$x\ =\ \frac{d}{3y}-y$

d)

$x\ =\ \frac{d}{3y}+y$

40.

Solve for p
$SA\ =hp\ +\ 2B$

a)

$\frac{SA-2B}{h}=p$

b)

$\frac{SA}{h}-2B=p$

c)

$\frac{SA-h}{2B}=p$

d)

$SA-2B-h=p$

41.

Solve for h:
$V\ =\ \frac{1}{3}\pi r^2h$

a)

$\frac{3V}{\pi r^2}=h$

b)

$\frac{1}{3}V\ -\pi r^2=h$

c)

$3V\ -\ \pi r^2=h$

d)

$\frac{1}{3}V\pi r^2=h$

42.

Area of a square is $A=s^2$ . Which equation will find the side of a square?

a)

$s=2A$

b)

$s=A^2$

c)

$s=\sqrt{A}$

d)

$s=\sqrt{2A}$

43.

Area of a trapezoid is $A=\frac{1}{2}h\left(b_1+b_2\right)$ . What is the equation to find the height of a trapezoid?

a)

$h=\frac{2A}{\left(b_{1\ }+b_2\right)}$

b)

$h=\frac{A}{2\left(b_1+b_2\right)}$

c)

$h=\frac{\left(b_1+b_2\right)}{2A}$

d)

$h=\frac{\left(b_1+b_2\right)}{2A}$

44.

Area of a circle is $A=\pi r^2.$ Which equation will find the radius of the circle?

a)

$r=\sqrt{A\pi}$

b)

$r=\sqrt{\frac{A}{\pi}}$

c)

$r=A^2\pi$

d)

$r=\pi\sqrt{A}$

45.

Surface area of a cube is $S=6s^2.$ Which equation will find the side of the cube?

a)

$s=\sqrt{6S}$

b)

$s=\sqrt{\frac{S}{6}}$

c)

$s=6\sqrt{S}$

d)

$s=6S^2$

46.

Volume of a right circular cylinder is $V=\pi r^2h.$
Which equation will find the radius of a right circular cylinder?

a)

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

b)

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

c)

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

d)

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

47.

Surface area of a sphere is $S=4\pi r^2.$ Which equation will find the radius of a sphere?

a)

$r=\sqrt{4S\pi}$

b)

$r=\sqrt{\frac{S}{4\pi}}$

c)

$r=\left(4S\pi\right)^2$

d)

$r=4\pi\sqrt{S}$

48.

Which operation will you use to solve a = b + c , for c

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

49.

Which operation will you use to solve for r in d=rt?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

50.

Problem 5

a)

b)

c)

d)

51.

Problem 10

a)

b)

c)

d)

52.

Solve for m
$E=mc^2$

a)

$m=E-c^2$

b)

$m=Ec^2$

c)

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

d)

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

53.

1.

a)

A

b)

B

c)

C

d)

D

54.

2.

a)

A

b)

B

c)

C

d)

D

55.

3.

a)

A

b)

B

c)

C

d)

D

56.

4.

a)

A

b)

B

c)

C

d)

D

57.

6.

a)

A

b)

B

c)

C

d)

D

58.

7.

a)

A

b)

B

c)

C

d)

D

59.

8.

a)

A

b)

B

c)

C

d)

D

60.

9.

a)

A

b)

B

c)

C

d)

D

61.

10.

a)

A

b)

B

c)

C

d)

D

62.

11.

a)

A

b)

B

c)

C

d)

D

Solving Literal Equations

Total questions: 62

Worksheet time: 4hrs 5mins

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