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solving linear equations

Total questions: 46

Worksheet time: 2hrs 33mins

Name
Class
Date
1.
w=g+7
solve for g
a)
g=w/7
b)
g=w+7
c)
g=7w
d)
g=w-7
2.
y=x-9
solve for x
a)
x=9-y
b)
x=9y
c)
x=y+9
d)
x=9/y
3.
M=T-R
solve for T
a)
T=M+R
b)
T=M-R
c)
T=-R-M
d)
T=RM
4.
2m-6=4n
solve for n
a)
n=1/2m-3/2
b)
n=6+2m
c)
n=3/2+1/2m
d)
n=4m+6
5.
For what value of y is the equation
3(y-5) + 2y = 60
a)
9
b)
13
c)
15
d)
20
6.
The expression 6 - 2(5x - 4) is equivalent to:
a)
-2 - 10x
b)
12 - 10x
c)
14 - 7x
d)
14 - 10x
7.
Solve for x. 
x + 4 = 14
a)
4
b)
14
c)
10
d)
-4
8.

Solve for p.

p + 22 = 66

a)

40

b)

44

c)

22

d)

42

9.
Solve for s. 
54 = s + 34
a)
10 
b)
20 
c)
34
d)
14
10.
Solve for t. 
16 = t + 5
a)
10
b)
5
c)
12
d)
11
11.

Solve the equation:

-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

12.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
13.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
14.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
15.
ax+r=7
solve for r
a)
r=7/ax
b)
r=7-ax
c)
r=7+ax
d)
r=7ax
16.
Solve for y:
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
17.
Solve the equation:
x - 4 = 6
a)
x = 10
b)
x = -10
c)
x = 2
d)
x = -2
18.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
19.
Solve the equation for y. 
2x + 3y = 4
a)
y = (4-2x)/3
b)
y = (2x-4)/3
c)
x  = (4-3y)/2
d)
y = (4-2x)/ -3
20.
Solve the equation for w.  
x = w / a
a)
w = a / x
b)
w = x / a
c)
w = ax
d)
x = wa
21.
Solve the equations for y.
2x - 4y = 7
a)
y = (7+2x)/ -4
b)
y = (7-2x) / 4
c)
y = (7-2x)/ -4
d)
y = (7+2x)/ 4
22.
Solve the equation for x. 
y = x / w
a)
x = w / y
b)
w = xy
c)
x = wy
d)
y = x / w
23.
Solve the equation for d. 
d / t = r
a)
d = r / t
b)
d = t / r
c)
d = rt
d)
d = r - t
24.
Solve the equation for x.  
3x - 2y = 6
a)
x = (6-2y) / 3
b)
x = (6+2y) / 3
c)
x = (6- 2y)/ -3
d)
x = 3 + 2y 
25.
Solve for x. 
5y = x / 8w
a)
x = 40yw
b)
x = 85wy
c)
x = 5y - 8w
d)
x = 5y / 8w
26.
Solve for x. 
x + 7g = 9
a)
x = 9 - 7g
b)
x = 9 / 7g
c)
x = 9 + 7g
d)
x = 7g - 9
27.
Solve for y. 
-5w + 7y = 4
a)
y = (4 - 5w) / 7
b)
y = (4 + 5w)/ 7
c)
y = 9w / 7
d)
y = 9w + 7 
28.
Solve for x.
9y = x / 2w 
a)
2y = x / 9w
b)
x = 18wy
c)
x = 92yw
d)
x = 2y - 9w
29.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
30.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
31.
Solve for s:
2s = 6t + 8w
a)
s = 12t + 16w
b)
s = 6t + 4w
c)
s = 3t - 4w
d)
s = 3t + 4w
32.
8x + 4y= 16 for y
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
33.
M= i + r ; solve for r
a)
M-i
b)
M+i
c)
-M-r
d)
-M+i
34.
Solve the formula for b.  What is the 1st step? 
a)
Subtract h from each side. 
b)
Add h to each side. 
c)
Divide each side by h. 
d)
Multiply each side by 2. 
35.
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. 
36.

Solve for 'x': x + 2w = m

a)

x = m - 2w

b)

x = 0.5m - w

c)

x = 2mw

d)

x = m/(2w)

37.
Solve for w:
A = LW
a)
A = L/W
b)
w = L/A
c)
w = A
d)
w = A/L
38.
Solve:
C = 2πr, for r
a)
C/(2π) = r
b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r
39.
a)
h=V/(3πr2)
b)
h=(3V)/(πr2)
c)
h=V/(3πr2)
d)
h=(3π)/(Vr2)
40.

d = rt, solve for r

a)

r = dt

b)

r = d/t

c)

r = d - t

d)

r = d + t

41.

Solve for T, B = T - Lc

a)

T = BLc

b)

T = B - Lc

c)

T = BLc\frac{B}{Lc}

d)

T = B + Lc

42.

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}  

43.

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}  

44.

Solve for x

y = mx + b

a)

x=ybmx=\frac{yb}{m}

b)

x=ybmx=ybm

c)

x=y+bmx=\frac{y+b}{m}

d)

x=ybmx=\frac{y-b}{m}

45.

 I=ERI=\frac{E}{R}  Solve for E

a)

 E=IRE=I-R  

b)

 E=I+RE=I+R  

c)

 E=IRE=IR  

d)

 E=IRE=\frac{I}{R}  

46.

 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}