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1.5 Practice - Formulas

Solve each of the following equations for the indicated variable.

1) ab = c for b

3) f g x=bfor x

5)3x=a

b forx

7) E = mc

2for m

9) V =

4 3

πr3forπ

11) a + c = b for c

13) c =

4y m+n for y

15) V =

πDn

12 for D

17)P=n(p-c)for n

19)T=D-d

L forD

21) L =Lo(1+at)forLo

23) 2m + p = 4m + q for m

25)
k-m r =qfor k

27)h=vt-16t2forv

29)Q1=P(Q2-Q1)forQ2

31)R=kA(T1+T2)

d forT1

33) ax + b = c for a

35) lwh = V for w

37)
1 a +b=c afor a

39) at-bw=sfort

41) ax + bx = c for a

43) x + 5y = 3 for y

45) 3x + 2y = 7 for y

47)5a-7b=4forb

49)4x-5y=8fory2) g =

h i for h

4)p=3y

q for y 6) ym b =c dfor y

8) DS = ds for D

10) E =

mv2 2 for m

12)x-f=gforx

14) rs a-3 =kforr

16) F = k(R-L) for k

18)S=L+2Bfor L

20)I=Ea-Eq

R forEa

22) ax + b = c for x

24) q = 6(L-p) for L

26)R=aT+bfor T

28)S=πrh+πr2for h

30) L =π(r1+r2)+2dforr1

32)P=V1(V2-V1)

g forV2

34) rt = d for r

36) V =

πr2h

3 for h 38)
1 a +b=c afor b

40) at-bw=sfor w

42) x + 5y = 3 for x

44) 3x + 2y = 7 for x

46)5a-7b=4fora

48)4x-5y=8forx

50)C=59

(F-32)forF Beginning and Intermediate Algebra by Tyler Wallace is licensed under a Creative Commons Attribution 3.0 Unported License. (http://creativecommons.org/licenses/by/3.0/) 1 1.5

Answers - Formulas

1.b=c a

2. h = gi

3.x=gb

4.y=pq

3 5.x=a 3b

6.y=cb

dm 7.m=E c 2

8.D=ds

9.π=3V

4r3

10.m=2E

v 2

11.c=b-a

12. x = g + f

13.y=cm+cn

14.r=k(a-3)

15.D=12V

πn

16.k=F

R-L

17.n=P

p-c

18.L=S-2B

19.D=TL+d

20.Ea=IR+Eg

21.Lo=L

1+at

22.x=c-b

23.m=p-q

24.L=q+6p

25. k = qr + m

26.T=R-b

27.v=16t2+h

28.h=s-πr2

πr

29.Q2=Q1+PQ1

30.r1=L-2d-πr2

31.T1=Rd-kAT2

32.v2=Pg+V12

V 1

33.a=c-b

34.r=d

35.w=V

36.h=3v

πr 2

37.a=c-1

38.b=c-1

39.t=5+bw

40.w=at-s

41.x=c-bx

42.x=3-5y

43.y=3-x

44.x=7-2y

45.y=7-3x

46.a=7b+4

47.b=5a-4

48.x=8+5y

49.y=4x-8

50.f=9c+160

5 Beginning and Intermediate Algebra by Tyler Wallace is licensed under a Creative Commons Attribution 3.0 Unported License. (http://creativecommons.org/licenses/by/3.0/) 2