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Worksheets

Literal Equations

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

-2 = 4r + s solve for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

2.

A - B = C


(solve for A)

a)

A = C - B

b)

A = C + B

c)

A - C = B

d)

B = A - C

3.

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

a)

 x=3−2c−3x=\frac{3-2c}{-3}  

b)

 x = 6+2cx\ =\ 6+2c  

c)

 x = 6−2cx\ =\ 6-2c  

d)

 x = 3+2c3x\ =\ \frac{3+2c}{3}  

4.

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.

5.

 a = 3y−x            solve for xa\ =\ 3y-x\ \ \ \ \ \ \ \ \ \ \ \ solve\ for\ x  

a)

 x = a + 3yx\ =\ a\ +\ 3y  

b)

 x = a −3yx\ =\ a\ -3y  

c)

 x = −a −3yx\ =\ -a\ -3y  

d)

 x = −a+3yx\ =\ -a+3y  

6.

m - n = 5         Solve for  m\ \ \ \ \ \ \ Solve\ for\ \ m  

a)

m = 5 + n

b)

m = -5 - n

c)

m = -5 + n

d)

m = 5 - n

7.

Solve for b         A=bh2A=\frac{bh}{2}

a)

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

b)

b=h2Ab=\frac{h}{2A}

c)

b=A2hb=\frac{A}{2h}

d)

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

8.

Solve for m        y=mx+by=mx+b  

a)

m=x+b−ym=x+b-y

b)

m=y−b−xm=y-b-x

c)

m=x−bym=\frac{x-b}{y}

d)

m=y−bxm=\frac{y-b}{x}

9.

Solve the formula for y. What is the 1st step?

a)

Subtract B from each side.

b)

Divide each side by Ax.

c)

Divide each side by B.

d)

Subtract Ax from each side.

10.

Solve for w          P=2(l+w)P=2\left(l+w\right)

a)

w=2Plw=\frac{2P}{l}

b)

w=2l+P2w=\frac{2l+P}{2}

c)

w=l+P2w=\frac{l+P}{2}

d)

w=P−2l2w=\frac{P-2l}{2}

11.

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

a)

 a=ubka=\frac{u}{bk}  

b)

 a = bkua\ =\ \frac{bk}{u}  

c)

 a = −bkua\ =\ -\frac{bk}{u}  

d)

 a=−ubka=-\frac{u}{bk}  

12.

 c+a=d+rc+a=d+r          solve for a

a)

 a=−d−r+ca=-d-r+c  

b)

 a=−c+d+ra=-c+d+r  

c)

 a=−r+c+da=-r+c+d  

d)

 a=−c−d−ra=-c-d-r  

13.

Solve the formula for t. What is the 1st step?

a)

Multiply each side by t.

b)

Subtract f from each side.

c)

Divide each side by t.

d)

Add s to each side.

14.

Solve for  d.

C = πdC\ =\ \pi d

a)

C − π=dC\ -\ \pi=d

b)

C + π=dC\ +\ \pi=d

c)

πC=d\pi C=d

d)

Cπ=d\frac{C}{\pi}=d

15.

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

a)

SA−2Bh=p\frac{SA-2B}{h}=p

b)

SAh−2B=p\frac{SA}{h}-2B=p

c)

SA−h2B=p\frac{SA-h}{2B}=p

d)

SA−2B−h=pSA-2B-h=p

16.

V = lwhV\ =\ lwh         Solve for h. 

a)

 V −l−w = hV\ -l-w\ =\ h 

b)

V−lw = hV-lw\ =\ h

c)

Vlw= h\frac{V}{lw}=\ h

d)

V−lw=hV-\frac{l}{w}=h

17.

Solve for b:


y = mx + b

a)

b = y - mx

b)

b = y + mx

c)

b = my + x

d)

b = my - x

18.

 F=maF=ma            Solve for  m. 

a)

 Fa=m\frac{F}{a}=m  

b)

 Fa=mFa=m  

c)

 aF=m\frac{a}{F}=m  

d)

 mF=amF=a  

19.

Solve the formula for P. What is the 1st step?

a)

Divide wach side by Pt.

b)

Subtract rt from each side.

c)

Subtract pt from each side.

d)

Divide each side by rt.

20.

 P=2l+2w P=2l+2w\                  Solve for  ll  

a)

 l=2P−4wl=2P-4w  

b)

 l=P−2w2l=\frac{P-2w}{2}  

c)

 l=P−2wl=P-2w  

d)

 l=P+2w2l=\frac{P+2w}{2}