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Worksheets

Literal Equations

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

2.
Solve for w:
A = LW
a)
A = L/W
b)
w = L/A
c)
w = A
d)
w = A/L
3.
Solve:
C = 2πr, for r
a)
C/(2π) = r
b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r
4.
a)

a

b)

b

c)

c

d)

d

5.
Solve the literal equation for the given variable.
a)
1000C/(tc)
b)
1000/t
c)
1000 - t
d)
0
6.

Solve for p
A = 12paA\ =\ \frac{1}{2}pa

a)

A12a = pA-\frac{1}{2}a\ =\ p

b)

2Aa=p\frac{2A}{a}=p

c)

A2a=p\frac{A}{2a}=p

d)

2Aa = p2A-a\ =\ p

7.
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
8.

 Ax+By=CAx+By=C  



What is the first step to solve this equation for y?

a)

add Ax to both sides

b)

divide by A

c)

subtract Ax from both sides

d)

divide by y

9.

 abcb=2ab-cb=2  

Solve the equation for b:

a)

 b=(cb+2)ab=\frac{\left(cb+2\right)}{a}  

b)

 b=(ab2)cb=\frac{\left(ab-2\right)}{c}  

c)

 b=2(ac)b=\frac{2}{\left(a-c\right)}  

d)

 b=2a+cb=2-a+c  

10.

 y=3x+zxy=3x+zx  
Solve the equation for x:

a)

 x=y(3+z)x=\frac{y}{\left(3+z\right)}  

b)

 x=y3zx=y-3-z  

c)

 x=(yzx)3x=\frac{\left(y-zx\right)}{3}  

d)

 x=(y3x)zx=\frac{\left(y-3x\right)}{z}