Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Find the number of solutions to a linear equation
How many solutions does this equation have?
\newline
15
g
+
5
−
10
g
=
−
5
(
−
g
−
1
)
15g + 5 - 10g = -5(-g - 1)
15
g
+
5
−
10
g
=
−
5
(
−
g
−
1
)
Get tutor help
How many solutions does this equation have?
\newline
5
6
(
x
−
3
)
+
1
3
x
=
1
2
x
+
2
3
x
−
5
\frac{5}{6}(x - 3) + \frac{1}{3}x = \frac{1}{2}x + \frac{2}{3}x - 5
6
5
(
x
−
3
)
+
3
1
x
=
2
1
x
+
3
2
x
−
5
\newline
Choices:
\newline
(A) none
\newline
(B) one
\newline
(C) two
\newline
(D) infinitely many
Get tutor help
How many solutions does this equation have?
\newline
2
3
(
x
−
5
)
+
1
3
=
4
x
−
10
3
x
−
3
\frac{2}{3}(x - 5) + \frac{1}{3} = 4x - \frac{10}{3}x - 3
3
2
(
x
−
5
)
+
3
1
=
4
x
−
3
10
x
−
3
\newline
Choices:
\newline
(A) none
\newline
(B) one
\newline
(C) two
\newline
(D) infinitely many
Get tutor help
How many solutions does this equation have?
\newline
3
4
(
3
x
+
4
)
=
x
+
2
+
1
8
x
\frac{3}{4}(3x + 4) = x + 2 + \frac{1}{8}x
4
3
(
3
x
+
4
)
=
x
+
2
+
8
1
x
\newline
Choices:
\newline
(A) none
\newline
(B) one
\newline
(C) two
\newline
(D) infinitely many
Get tutor help
How many solutions does this equation have?
\newline
5
4
(
x
−
1
)
=
7
2
x
−
9
4
x
+
7
\frac{5}{4}(x - 1) = \frac{7}{2}x - \frac{9}{4}x + 7
4
5
(
x
−
1
)
=
2
7
x
−
4
9
x
+
7
\newline
Choices:
\newline
(A) none
\newline
(B) one
\newline
(C) two
\newline
(D) infinitely many
Get tutor help
How many solutions does this equation have?
\newline
4
x
−
7
4
x
+
14
=
7
4
(
x
+
8
)
+
1
2
x
4x - \frac{7}{4}x + 14 = \frac{7}{4}(x + 8) + \frac{1}{2}x
4
x
−
4
7
x
+
14
=
4
7
(
x
+
8
)
+
2
1
x
\newline
Choices:
\newline
(A) none
\newline
(B) one
\newline
(C) two
\newline
(D) infinitely many
Get tutor help
How many solutions does this equation have?
\newline
8
9
x
−
1
3
x
+
4
=
5
9
(
x
+
2
)
\frac{8}{9}x - \frac{1}{3}x + 4 = \frac{5}{9}(x + 2)
9
8
x
−
3
1
x
+
4
=
9
5
(
x
+
2
)
\newline
Choices:
\newline
(A) none
\newline
(B) one
\newline
(C) two
\newline
(D) infinitely many
Get tutor help
How many solutions does this equation have?
\newline
−
6
v
=
4
−
4
v
-6v = 4 - 4v
−
6
v
=
4
−
4
v
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
8
+
7
u
=
7
u
-8 + 7u = 7u
−
8
+
7
u
=
7
u
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
2
v
=
1
+
2
v
2v = 1 + 2v
2
v
=
1
+
2
v
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
r
−
r
=
0
r - r = 0
r
−
r
=
0
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
8
f
−
8
f
=
0
8f - 8f = 0
8
f
−
8
f
=
0
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
8
n
−
9
=
9
n
8n - 9 = 9n
8
n
−
9
=
9
n
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
d
=
−
8
d
+
9
d
d = -8d + 9d
d
=
−
8
d
+
9
d
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
0
=
4
y
−
4
y
0 = 4y - 4y
0
=
4
y
−
4
y
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
6
+
9
s
=
8
s
6 + 9s = 8s
6
+
9
s
=
8
s
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
4
t
=
−
10
t
+
6
t
-4t = -10t + 6t
−
4
t
=
−
10
t
+
6
t
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
10
+
7
h
=
7
h
10 + 7h = 7h
10
+
7
h
=
7
h
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
7
s
+
7
s
=
0
-7s + 7s = 0
−
7
s
+
7
s
=
0
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
5
−
2
j
=
−
2
j
-5 - 2j = -2j
−
5
−
2
j
=
−
2
j
\newline
Choices:
\newline
(A) no solution
\newline
(B) one solution
\newline
(C) infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
9
y
=
−
y
+
10
y
9y = -y + 10y
9
y
=
−
y
+
10
y
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
7
u
=
−
7
+
7
u
7u = -7 + 7u
7
u
=
−
7
+
7
u
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
0
=
4
u
−
4
u
0 = 4u - 4u
0
=
4
u
−
4
u
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
7
n
+
7
n
=
0
-7n + 7n = 0
−
7
n
+
7
n
=
0
\newline
Choices:
\newline
(A) no solution
\newline
(B) one solution
\newline
(C) infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
r
=
r
+
4
-r = r + 4
−
r
=
r
+
4
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
6
+
j
=
−
j
-6 + j = -j
−
6
+
j
=
−
j
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
7
w
=
10
−
6
w
-7w = 10 - 6w
−
7
w
=
10
−
6
w
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
6
+
m
=
m
-6 + m = m
−
6
+
m
=
m
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
c
−
c
=
0
c - c = 0
c
−
c
=
0
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
0
=
8
d
−
8
d
0 = 8d - 8d
0
=
8
d
−
8
d
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
5
y
=
10
+
5
y
-5y = 10 + 5y
−
5
y
=
10
+
5
y
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
u
−
3
=
u
u - 3 = u
u
−
3
=
u
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
0
=
−
8
u
+
8
u
0 = -8u + 8u
0
=
−
8
u
+
8
u
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
2
y
+
7
y
=
5
y
-2y + 7y = 5y
−
2
y
+
7
y
=
5
y
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
5
−
2
u
=
−
3
u
-5 - 2u = -3u
−
5
−
2
u
=
−
3
u
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
0
=
10
u
−
10
u
0 = 10u − 10u
0
=
10
u
−10
u
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
2
+
9
p
=
9
p
2 + 9p = 9p
2
+
9
p
=
9
p
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the following equation have?
\newline
−
9
(
z
+
8
)
=
−
9
z
−
72
-9(z+8)=-9z-72
−
9
(
z
+
8
)
=
−
9
z
−
72
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
4
y
−
y
=
−
5
y
-4y - y = -5y
−
4
y
−
y
=
−
5
y
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
6
b
−
6
b
=
0
6b - 6b = 0
6
b
−
6
b
=
0
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
5
t
=
4
+
5
t
5t = 4 + 5t
5
t
=
4
+
5
t
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
2
c
=
−
3
c
−
8
-2c = -3c - 8
−
2
c
=
−
3
c
−
8
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
4
+
4
z
=
5
z
-4 + 4z = 5z
−
4
+
4
z
=
5
z
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
\newline
Get tutor help
How many solutions does this equation have?
\newline
−
2
v
−
3
=
−
2
v
-2v - 3 = -2v
−
2
v
−
3
=
−
2
v
\newline
Choices:
\newline
(A) no solution
\newline
(B) one solution
\newline
(C) infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
5
p
=
8
+
5
p
5p = 8 + 5p
5
p
=
8
+
5
p
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
3
k
=
8
−
3
k
-3k = 8 - 3k
−
3
k
=
8
−
3
k
\newline
Choices:
\newline
(A) no solution
\newline
(B) one solution
\newline
(C) infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
−
t
−
9
=
−
t
-t - 9 = -t
−
t
−
9
=
−
t
\newline
Choices:
\newline
(A) no solution
\newline
(B) one solution
\newline
(C) infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
3
h
=
10
+
3
h
3h = 10 + 3h
3
h
=
10
+
3
h
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
0
=
6
h
−
6
h
0 = 6h - 6h
0
=
6
h
−
6
h
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does this equation have?
\newline
9
c
=
9
c
+
6
9c = 9c + 6
9
c
=
9
c
+
6
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
1
2
3
...
4
Next
