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Worksheets

Literal Equations

Total questions: 25

Worksheet time: 3hrs 31mins

Name
Class
Date
1.

 A=12bhA=\frac{1}{2}bh  

Solve the literal equation for "b".

a)

 b=2Ahb=\frac{2A}{h}  

b)

 b=2hb=\frac{2}{h}  

c)

 b=2Ahb=2Ah  

d)

 b=Ah2b=\frac{Ah}{2}  

2.

Solve for a.

a)

a=pwa=pw

b)

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

c)

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

d)

a=w+pa=w+p

3.

Solve for h

V = πr²h for h

a)

h=V(πr2)h=\frac{V}{\left(\pi r^2\right)}

b)

h=Vπr2h=V-\pi r^2

c)

h=V+πr2h=V+\pi r^2

d)

h=Vπh=\frac{V}{\pi}

4.
What should we do first to solve for x?
y=mx+b
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
5.

Solve for t.

D= rt

a)

t=Drt=\frac{D}{r}

b)

t=Drt=Dr

c)

r=Dtr=\frac{D}{t}

d)

r=Dtr=Dt

6.

Solve for w

A = LW

a)

A = L/W

b)

w = L/A

c)

w = A

d)

w = A/L

7.

Solve for b

y = mx + b

a)

b=ymxb=y-mx

b)

b=y+mxb=y+mx

c)

b=ymxb=\frac{y}{mx}

d)

ymx=b\frac{ym}{x}=b

8.
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
9.

S = 3F - 24 Solve for F

a)

F=(S+24)3F=\frac{\left(S+24\right)}{3}

b)

F=S3+24F=\frac{S}{3}+24

c)

F=3S+24F=3S+24

d)

F=3(S+24)F=3\left(S+24\right)

10.

pV = nRT

solve for R

a)

R=pVnTR=\frac{pV}{nT}

b)

R=pn+VTR=\frac{p}{n}+\frac{V}{T}

c)

R=pVnTR=pV-nT

d)

R=(pVn)TR=\frac{\left(pV-n\right)}{T}

11.

ax + c = R

(solve for x)

a)

ax=R+cax=R+c

b)

ax=Rcax=R-c

c)

x=a(Rc)x=a\left(R-c\right)

d)

x=(Rc)ax=\frac{\left(R-c\right)}{a}

12.
Solve:
12x - 4y = 20  ,  for   y 
a)
y = 3x - 5
b)
y = -3x + 5
c)
y = -3x - 5
d)
y = 3x + 5
13.

 A=23(B+5)A=\frac{2}{3}\left(B+5\right)  



Solve for B:

a)

 B=23A+5B=\frac{2}{3}A+5  

b)

 B=23A5B=\frac{2}{3}A-5  

c)

 B=32A+5B=\frac{3}{2}A+5  

d)

 B=32A5B=\frac{3}{2}A-5  

14.

Which expression represents the value of x in the equation:

dx + e = f

a)

x=(f+e)dx=\frac{\left(f+e\right)}{d}

b)

x=(fe)dx=\frac{\left(f-e\right)}{d}

c)

x=d(ef)x=\frac{d}{\left(e-f\right)}

d)

x=d(e+f)x=\frac{d}{\left(e+f\right)}

15.

Solve for r:
LA = 2πrhLA\ =\ 2\pi rh

a)

LA2πh = rLA-2\pi h\ =\ r

b)

LA2πh= r\frac{LA}{2\pi h}=\ r

c)

LA2πh = r\frac{LA}{2}-\pi h\ =\ r

d)

2LAπh= r\frac{2LA}{\pi h}=\ r

16.

Solve for h:
V = 13πr2hV\ =\ \frac{1}{3}\pi r^2h

a)

3Vπr2=h\frac{3V}{\pi r^2}=h

b)

13V πr2=h\frac{1}{3}V\ -\pi r^2=h

c)

3V πr2=h3V\ -\ \pi r^2=h

d)

13Vπr2=h\frac{1}{3}V\pi r^2=h

17.

Solve for h:
SA = 2πr2+2πrhSA\ =\ 2\pi r^2+2\pi rh

a)

SA2πr2+2πr=h\frac{SA}{2\pi r^2+2\pi r}=h

b)

SA2πr2πr2=h\ \frac{SA-2\pi r}{2\pi r^2}=h

c)

SA2πr22πr=h\frac{SA-2\pi r^2}{2\pi r}=h

d)

SA 2πr22πr= hSA\ -\ \frac{2\pi r^2}{2\pi r}=\ h

18.

S = 3F - 24 Solve for F

a)

F=S+243F=\frac{S+24}{3}

b)

F=S3+24F=\frac{S}{3+24}

c)

F=3S+24F=3S+24

d)

F=3(S+24)F=3\left(S+24\right)

19.

Solve for y.

-5w + 7y = 4

a)

y=45w7y=\frac{4-5w}{7}

b)

y=4+5w7y=\frac{4+5w}{7}

c)

y=9w7y=\frac{9w}{7}

d)

y=9w+7y=9w+7

20.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
21.

Solve the equation for y.

2x + 3y = 4

a)

y=42x3y=\frac{4-2x}{3}

b)

y=2x43y=\frac{2x-4}{3}

c)

x=43y2x=\frac{4-3y}{2}

d)

y=42x3y=\frac{4-2x}{-3}

22.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c=abc=\frac{a}{b}

23.

Solve for x:

ax - b = c + d

a)

x = a(c + d + b)

b)

x=(c+d)(ab)x=\frac{\left(c+d\right)}{\left(a-b\right)}

c)

x =ab+c+dx\ =\frac{a}{b+c+d}

d)

x=c+d+bax=\frac{c+d+b}{a}

24.

What is the opposite of division?

a)

addition

b)

equals

c)

subtraction

d)

multiplication

25.

What is the opposite of subtraction?

a)

addition

b)

division

c)

subtraction

d)

multiplication