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Worksheets

Rewriting Equations for Variables

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.
a)
4w-10
b)
-2w+10
c)
2w-10
d)
-4w + 10
2.

solve for y

y - x = 5

a)

y = 5 + x

b)

y = -5 - x

c)

y = -5 + x

d)

y = 5 - x

3.

Solve for y

x = 3y - 24

a)

y = (x + 24)/3

b)

y = x/3 + 24

c)

y = 3x + 24

d)

y = 3(x + 24)

4.

Solve for y

-4x + 2y = -6

a)

y = -2x + 3

b)

y = 2x + 3

c)

y = 2x - 3

d)

y = -2x - 3

5.

Rewrite in standard form.


4y = 3 - 4/5x

a)

4x - 20y = 15

b)

4x + 4y = 15

c)

4x + 20y = 15

d)

4x + 4y = 3

6.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

7.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

8.

Solve:
V = πr²h , for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

9.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

10.

Solve for the indicated variable.

a)

A = l/w

b)

w = l/A

c)

w = A

d)

w = A/l

11.

Solving the formula P = 2L + 2W for W is not equivalent to which equation?

a)

(P-2L)/2 = W

b)

(P/2) - (2L/2) = W

c)

(1/2)P - L = W

d)

P - (1/2)L = W

12.

Solve the equation for w.  
x = w / a

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

13.

Solve for x. 
5y = x / 8w

a)

x = 40yw

b)

x = 85wy

c)

x = 5y - 8w

d)

x = 5y / 8w

14.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

15.

Which expression represents the value of e in the equation:

a)

e = (f + e)/d

b)

e = (f - x)/d

c)

e = d/(x - f)

d)

e = f-dx

16.

Solve:
C = 2πr, for r

a)

C/(2π) = r

b)

C + 2π = r

c)

C - 2π = r

d)

2πC = r

17.
a)
(2.5+h)f
b)
g=1
c)
f(5+h)/2
d)
(5f+h) / 2
18.
a)
17m
b)
13m
c)
-13m
d)
-17m
19.

Solve for b

y = mx + b

a)

y - mx = b

b)

y + mx = b

c)

y / mx = b

d)

ym / x = b

20.

solve for R

pV = nRT

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T