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Chapter 1.5 Rewriting Equations and Formulas

Total questions: 16

Worksheet time: 28mins

Name
Class
Date
1.

d = rt, solve for r

a)

r = dt

b)

r = d/t

c)

r = d - t

d)

r = d + t

2.

Solve for h,      S =  2πrh2\pi rh  

a)

h=  S2πr\frac{S}{2\pi r}  

b)

h =  S2πrS2\pi r  

c)

h =  S2πrS-2\pi r  

d)

h =  2πrS\frac{2\pi r}{S}  

3.

V=πr2hV=\pi r^2h  

Solve for h

a)

h=Vπr2h=V-\pi r^2  

b)

h=2Vπrh=2V\pi r  

c)

h=2Vπh=\frac{2V}{\pi}  

d)

h=Vπr2h=\frac{V}{\pi r^2}  

4.
Solve:
8x + 4y = 16    ,  for     y
a)
y = -2x + 4
b)
y = 2x - 4
c)
y = 2x + 4
d)
y = -2x - 4
5.

Solve for v

C = xv + x

a)

(C-x)/x = v

b)

(C+x)/x = v

c)

(-C-x)/x = v

d)

(Cx)/x = v

6.

2.  Given 15x + 1 = y, solve for x.

a)

x =y+115x\ =\frac{y+1}{15}  

b)

x =y151x\ =\frac{y-15}{1}  

c)

x =y115x\ =\frac{y-1}{15}  

d)

x =y+151x\ =\frac{y+15}{1}  

7.

Given axb=c, solve for x. Given\ ax-b=c,\ solve\ for\ x.\  

a)

x = c+bax\ =\ \frac{c+b}{a}  

b)

x = cbax\ =\ \frac{c-b}{a}  

c)

x = a+bcx\ =\ \frac{a+b}{c}  

d)

x = c+abx\ =\ \frac{c+a}{b}  

8.

Given xy + w = 9, solve for y.Given\ xy\ +\ w\ =\ 9,\ solve\ for\ y.  

a)

y=9+wxy=\frac{9+w}{x}  

b)

y=9xwy=\frac{9-x}{w}  

c)

y=9wxy=\frac{9-w}{x}  

d)

y=9+xwyy=\frac{9+x}{wy}  

9.

Given mx+4y=3t, solve for x.Given\ mx+4y=3t,\ solve\ for\ x.  

a)

x= 3t+4ymx=\ \frac{3t+4y}{m}  

b)

x=3t4ymx=\frac{3t-4y}{m}  

c)

x=3m4ytx=\frac{3m-4y}{t}  

d)

x=3y+4tmx=\frac{3y+4t}{m}  

10.

Given V=lwh, solve for l.Given\ V=lwh,\ solve\ for\ l.  

a)

l=Vwhl=\frac{Vw}{h}  

b)

l=Vwhl=\frac{V}{wh}  

c)

l=Vhwl=\frac{Vh}{w}  

d)

l=whVl=\frac{wh}{V}  

11.

Solve: C=2πr, for rSolve:\ C=2\pi r,\ for\ r  



a)

r=C2πr=\frac{C}{2\pi}  

b)

r=C+2πr=C+2\pi  

c)

r=C2πr=C-2\pi  

d)

r=2πCr=2\pi C  

12.

A - B = C

(solve for A)

a)
A = C - B
b)
A = C + B
c)
A - C = B
d)
B = A - C
13.

IR = V

(solve for R)

a)

R=IVR=IV  

b)

R=IVR=\frac{I}{V}  

c)

R=VIR=\frac{V}{I}  

d)

R=VIR=V-I  

14.

W=ALW=\frac{A}{L}  

(solve for A)

a)

A=WLA=\frac{W}{L}  

b)

A=LWA=LW  

c)

A=W+LA=W+L  

d)

A=WLA=W-L  

15.

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.

16.

cy=10cy=10  

Solve for y.

a)

y=10cy=\frac{10}{c}    

b)

y=10cy=10-c  

c)

y=10cy=10c  

d)

y=10+cy=10+c