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Math Problems
Algebra 1
Find the number of solutions to a linear equation
How many solutions does this equation have?
\newline
7
g
=
4
+
6
g
7g = 4 + 6g
7
g
=
4
+
6
g
\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
j
=
8
j
+
4
9j = 8j + 4
9
j
=
8
j
+
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
5
g
−
5
g
=
0
5g - 5g = 0
5
g
−
5
g
=
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
+
2
=
−
9
f
-8f + 2 = -9f
−
8
f
+
2
=
−
9
f
\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
z
=
5
z
+
8
3z = 5z + 8
3
z
=
5
z
+
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
8
+
b
=
2
b
8 + b = 2b
8
+
b
=
2
b
\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
t
+
4
=
2
t
2t + 4 = 2t
2
t
+
4
=
2
t
\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
60
z
+
50
−
97
z
=
−
37
z
+
49
60z + 50 - 97z = -37z + 49
60
z
+
50
−
97
z
=
−
37
z
+
49
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
a
2
+
1
=
0
a^{2}+1=0
a
2
+
1
=
0
\newline
How many distinct real solutions does the given equation have?
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x
2
−
3
x
+
2
=
0
x^{2}-3 x+2=0
x
2
−
3
x
+
2
=
0
\newline
How many distinct real solutions does the given equation have?
Get tutor help
3
x
2
+
2
x
=
11
3 x^{2}+2 x=11
3
x
2
+
2
x
=
11
\newline
Which of the following describes the solutions to the given equation?
\newline
Choose
1
1
1
answer:
\newline
(A) The equation has two distinct rational solutions.
\newline
B The equation has two distinct irrational solutions.
\newline
(C) The equation has one distinct real solution.
\newline
D The equation has no real solutions.
Get tutor help
−
2
x
2
+
5
x
=
17
-2 x^{2}+5 x=17
−
2
x
2
+
5
x
=
17
\newline
Which of the following describes the solutions to the given equation?
\newline
Choose
1
1
1
answer:
\newline
(A) The equation has two distinct real, rational solutions.
\newline
B The equation has two distinct real, irrational solutions.
\newline
(C) The equation has one distinct real solution.
\newline
(D) The equation has no real solutions.
Get tutor help
Jax is making his famous fruit punch for a party. If one serving is
8
8
8
fluid ounces, and Jax wants to have at least
36
36
36
servings for the party, which of the following represents
x
x
x
, the amount of fruit punch he needs to make in fluid ounces?
\newline
Choose
1
1
1
answer:
\newline
(A)
x
≥
8
x \geq 8
x
≥
8
\newline
(B)
x
≥
36
x \geq 36
x
≥
36
\newline
(C)
x
≥
228
x \geq 228
x
≥
228
\newline
(D)
x
≥
288
x \geq 288
x
≥
288
Get tutor help
8
−
3
n
=
−
3
(
n
−
1
)
+
5
8-3n=-3(n-1)+5
8
−
3
n
=
−
3
(
n
−
1
)
+
5
\newline
Which of the following best describes the solution set to the equation shown?
\newline
Choose
1
1
1
answer:
\newline
(A) The equation has no solutions.
\newline
(B) The equation has exactly one solution,
n
=
3
n=3
n
=
3
.
\newline
(C) The equation has exactly one solution,
n
=
0
n=0
n
=
0
.
\newline
(D) The equation has infinitely many solutions.
Get tutor help
4
−
3
y
=
6
y
+
4
−
9
y
4-3y=6y+4-9y
4
−
3
y
=
6
y
+
4
−
9
y
\newline
Which of the following best describes the solution set to the equation shown?
\newline
Choose
1
1
1
answer:
\newline
(A) The equation has no solutions.
\newline
(B) The equation has exactly one solution,
y
=
0
y=0
y
=
0
.
\newline
(C) The equation has exactly one solution,
y
=
4
3
y=\frac{4}{3}
y
=
3
4
.
\newline
(D) The equation has infinitely many solutions.
Get tutor help
How many solutions does the following equation have?
\newline
−
5
(
z
+
1
)
=
−
2
z
+
10
-5(z+1)=-2z+10
−
5
(
z
+
1
)
=
−
2
z
+
10
\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 the following equation have?
\newline
7
(
y
+
3
)
=
5
y
+
8
7(y+3)=5y+8
7
(
y
+
3
)
=
5
y
+
8
\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 the following equation have?
\newline
−
25
z
+
1
+
35
z
=
10
z
+
1
-25 z + 1 + 35 z = 10 z + 1
−
25
z
+
1
+
35
z
=
10
z
+
1
\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 the following equation have?
\newline
−
4
(
x
+
5
)
=
−
4
x
−
20
-4(x+5)=-4x-20
−
4
(
x
+
5
)
=
−
4
x
−
20
\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 the following equation have?
\newline
23
y
+
50
+
27
y
=
50
y
+
50
23y + 50 + 27y = 50y + 50
23
y
+
50
+
27
y
=
50
y
+
50
\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 the following equation have?
\newline
4
(
y
−
30
)
=
4
y
+
12
4(y-30)=4y+12
4
(
y
−
30
)
=
4
y
+
12
\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 the following equation have?
\newline
74
y
−
8
−
78
y
=
−
4
y
−
8
74y - 8 - 78y = -4y - 8
74
y
−
8
−
78
y
=
−
4
y
−
8
\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 the following equation have?
\newline
3
(
y
+
9
)
=
12
y
+
13
3(y+9)=12y+13
3
(
y
+
9
)
=
12
y
+
13
\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 the following equation have?
\newline
20
z
−
5
−
12
z
=
10
z
+
8
20z - 5 - 12z = 10z + 8
20
z
−
5
−
12
z
=
10
z
+
8
\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 the following equation have?
\newline
12
z
−
6
+
15
z
=
27
z
−
5
12z - 6 + 15z = 27z - 5
12
z
−
6
+
15
z
=
27
z
−
5
\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 the following equation have?
\newline
−
15
y
+
7
+
17
y
=
2
y
+
70
-15y + 7 + 17y = 2y + 70
−
15
y
+
7
+
17
y
=
2
y
+
70
\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 the following equation have?
\newline
−
6
y
+
13
+
9
y
=
8
y
−
3
-6y+13+9y=8y-3
−
6
y
+
13
+
9
y
=
8
y
−
3
\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 the following equation have?
\newline
14
(
z
+
3
)
=
14
z
+
21
14(z+3)=14z+21
14
(
z
+
3
)
=
14
z
+
21
\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 the following equation have?
\newline
60
z
+
50
−
97
z
=
−
37
z
+
49
60z + 50 - 97z = -37z + 49
60
z
+
50
−
97
z
=
−
37
z
+
49
\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 the following equation have?
\newline
13
(
y
+
3
)
=
13
y
+
39
13(y+3)=13y+39
13
(
y
+
3
)
=
13
y
+
39
\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 the following equation have?
\newline
−
14
(
z
−
5
)
=
−
14
z
+
70
-14(z-5)=-14z+70
−
14
(
z
−
5
)
=
−
14
z
+
70
\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 the following equation have?
\newline
3
(
x
+
5
)
=
−
4
x
+
8
3(x+5)=-4x+8
3
(
x
+
5
)
=
−
4
x
+
8
\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 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 the following equation have?
\newline
−
3
x
+
9
−
2
x
=
−
12
−
5
x
-3x+9-2x=-12-5x
−
3
x
+
9
−
2
x
=
−
12
−
5
x
\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 the following equation have?
\newline
9
z
−
6
+
7
z
=
16
z
−
6
9z-6+7z=16z-6
9
z
−
6
+
7
z
=
16
z
−
6
\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 the following equation have?
\newline
3
(
y
+
41
)
=
3
y
+
123
3(y+41)=3y+123
3
(
y
+
41
)
=
3
y
+
123
\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 the following equation have?
\newline
3
z
+
9
+
14
z
=
4
z
+
5
3z+9+14z=4z+5
3
z
+
9
+
14
z
=
4
z
+
5
\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 the following equation have?
\newline
5
x
+
8
−
7
x
=
−
4
x
+
1
5x+8-7x=-4x+1
5
x
+
8
−
7
x
=
−
4
x
+
1
\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 the following equation have?
\newline
−
2
z
+
10
+
7
z
=
16
z
+
7
-2z+10+7z=16z+7
−
2
z
+
10
+
7
z
=
16
z
+
7
\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 the following equation have?
\newline
7
(
y
−
8
)
=
7
y
+
42
7(y-8)=7y+42
7
(
y
−
8
)
=
7
y
+
42
\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 the following equation have?
\newline
−
9
(
x
+
6
)
=
−
9
x
+
108
-9(x+6)=-9x+108
−
9
(
x
+
6
)
=
−
9
x
+
108
\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 the following equation have?
\newline
−
6
(
x
+
7
)
=
−
4
x
−
2
-6(x+7)=-4x-2
−
6
(
x
+
7
)
=
−
4
x
−
2
\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 the following equation have?
\newline
−
4
x
−
7
+
10
x
=
−
7
+
6
x
-4x-7+10x=-7+6x
−
4
x
−
7
+
10
x
=
−
7
+
6
x
\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 the following equation have?
\newline
−
17
(
y
−
2
)
=
−
17
y
+
64
-17(y-2)=-17y+64
−
17
(
y
−
2
)
=
−
17
y
+
64
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
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1
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