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Math Problems
Algebra 1
Is (x, y) a solution to the system of equations?
Is
(
1
,
1
)
(1,1)
(
1
,
1
)
a solution to this system of equations?
4
x
+
10
y
=
14
4x + 10y = 14
4
x
+
10
y
=
14
x
+
6
y
=
7
x + 6y = 7
x
+
6
y
=
7
Choices:
\newline
[[yes]
\newline
[no]]
Get tutor help
Is
(
2
,
9
)
(2,9)
(
2
,
9
)
a solution to this system of equations?
\newline
y
=
3
x
+
3
y = 3x + 3
y
=
3
x
+
3
\newline
y
=
x
+
5
y = x + 5
y
=
x
+
5
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Is
(
1
,
6
)
(1,6)
(
1
,
6
)
a solution to this system of equations?
\newline
y
=
x
+
5
y = x + 5
y
=
x
+
5
\newline
y
=
5
x
+
1
y = 5x + 1
y
=
5
x
+
1
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Is
(
1
,
8
)
(1,8)
(
1
,
8
)
a solution to this system of equations?
\newline
y
=
x
+
7
y = x + 7
y
=
x
+
7
\newline
y
=
7
x
+
1
y = 7x + 1
y
=
7
x
+
1
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
1
,
9
)
(1,9)
(
1
,
9
)
a solution to this system of equations?
\newline
y
=
5
x
+
4
y = 5x + 4
y
=
5
x
+
4
\newline
y
=
2
x
+
7
y = 2x + 7
y
=
2
x
+
7
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
1
,
5
)
(1,5)
(
1
,
5
)
a solution to this system of equations?
\newline
5
x
+
3
y
=
20
5x + 3y = 20
5
x
+
3
y
=
20
\newline
x
+
2
y
=
11
x + 2y = 11
x
+
2
y
=
11
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
7
,
1
)
(7,1)
(
7
,
1
)
a solution to this system of equations?
\newline
9
x
+
12
y
=
12
9x + 12y = 12
9
x
+
12
y
=
12
\newline
x
+
7
y
=
14
x + 7y = 14
x
+
7
y
=
14
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
1
,
1
)
(1,1)
(
1
,
1
)
a solution to this system of equations?
\newline
9
x
+
y
=
10
9x + y = 10
9
x
+
y
=
10
\newline
6
x
+
5
y
=
11
6x + 5y = 11
6
x
+
5
y
=
11
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
2
,
1
)
(2,1)
(
2
,
1
)
a solution to this system of equations?
\newline
8
x
+
7
y
=
11
8x + 7y = 11
8
x
+
7
y
=
11
\newline
x
+
y
=
3
x + y = 3
x
+
y
=
3
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
1
,
1
)
(1,1)
(
1
,
1
)
a solution to this system of equations?
\newline
4
x
+
10
y
=
14
4x + 10y = 14
4
x
+
10
y
=
14
\newline
x
+
6
y
=
7
x + 6y = 7
x
+
6
y
=
7
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
2
,
1
)
(2,1)
(
2
,
1
)
a solution to this system of equations?
\newline
5
x
+
7
y
=
17
5x + 7y = 17
5
x
+
7
y
=
17
\newline
3
x
+
y
=
7
3x + y = 7
3
x
+
y
=
7
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
1
,
1
)
(1,1)
(
1
,
1
)
a solution to this system of equations?
\newline
6
x
+
14
y
=
20
6x + 14y = 20
6
x
+
14
y
=
20
\newline
8
x
+
y
=
6
8x + y = 6
8
x
+
y
=
6
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
2
,
1
)
(2,1)
(
2
,
1
)
a solution to this system of equations?
\newline
10
x
+
y
=
3
10x + y = 3
10
x
+
y
=
3
\newline
2
x
+
16
y
=
20
2x + 16y = 20
2
x
+
16
y
=
20
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
1
,
7
)
(1,7)
(
1
,
7
)
a solution to this system of equations?
\newline
x
+
2
y
=
15
x + 2y = 15
x
+
2
y
=
15
\newline
2
x
+
2
y
=
16
2x + 2y = 16
2
x
+
2
y
=
16
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
3
,
1
)
(3,1)
(
3
,
1
)
a solution to this system of equations?
\newline
3
x
+
3
y
=
12
3x + 3y = 12
3
x
+
3
y
=
12
\newline
12
x
+
y
=
13
12x + y = 13
12
x
+
y
=
13
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
7
,
2
)
(7,2)
(
7
,
2
)
a solution to this system of equations?
\newline
x
+
6
y
=
19
x + 6y = 19
x
+
6
y
=
19
\newline
20
x
+
12
y
=
13
20x + 12y = 13
20
x
+
12
y
=
13
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
3
,
1
)
(3,1)
(
3
,
1
)
a solution to this system of equations?
\newline
2
x
+
y
=
7
2x + y = 7
2
x
+
y
=
7
\newline
2
x
+
4
y
=
10
2x + 4y = 10
2
x
+
4
y
=
10
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
4
,
1
)
(4,1)
(
4
,
1
)
a solution to this system of equations?
\newline
6
x
+
12
y
=
17
6x + 12y = 17
6
x
+
12
y
=
17
\newline
x
+
7
y
=
11
x + 7y = 11
x
+
7
y
=
11
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
2
,
9
)
(2,9)
(
2
,
9
)
a solution to this system of equations?
\newline
y
=
3
x
+
3
y = 3x + 3
y
=
3
x
+
3
\newline
y
=
4
x
+
1
y = 4x + 1
y
=
4
x
+
1
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
4
,
6
)
(4,6)
(
4
,
6
)
a solution to this system of equations?
\newline
3
x
+
y
=
18
3x + y = 18
3
x
+
y
=
18
\newline
15
x
+
9
y
=
11
15x + 9y = 11
15
x
+
9
y
=
11
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
8
,
2
)
(8,2)
(
8
,
2
)
a solution to this system of equations?
\newline
x
+
y
=
10
x + y = 10
x
+
y
=
10
\newline
6
x
+
4
y
=
19
6x + 4y = 19
6
x
+
4
y
=
19
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
2
,
7
)
(2,7)
(
2
,
7
)
a solution to this system of equations?
\newline
6
x
+
y
=
16
6x + y = 16
6
x
+
y
=
16
\newline
3
x
+
2
y
=
20
3x + 2y = 20
3
x
+
2
y
=
20
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
1
,
1
)
(1,1)
(
1
,
1
)
a solution to this system of equations?
\newline
6
x
+
11
y
=
17
6x + 11y = 17
6
x
+
11
y
=
17
\newline
5
x
+
y
=
6
5x + y = 6
5
x
+
y
=
6
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Is
(
1
,
2
)
(1,2)
(
1
,
2
)
a solution to this system of equations?
\newline
3
x
+
8
y
=
19
3x + 8y = 19
3
x
+
8
y
=
19
\newline
x
+
4
y
=
9
x + 4y = 9
x
+
4
y
=
9
\newline
Choices:
\newline
(A) yes
\newline
(B) no
Get tutor help
Find
lim
x
→
−
3
4
x
+
28
−
4
x
+
3
\lim _{x \rightarrow-3} \frac{\sqrt{4 x+28}-4}{x+3}
lim
x
→
−
3
x
+
3
4
x
+
28
−
4
.
\newline
Choose
1
1
1
answer:
\newline
(A)
1
2
\frac{1}{2}
2
1
\newline
(B)
1
1
1
\newline
(C)
2
2
2
\newline
(D) The limit doesn't exist
Get tutor help
Find
lim
x
→
π
4
cos
(
2
x
)
cos
(
x
)
−
sin
(
x
)
\lim _{x \rightarrow \frac{\pi}{4}} \frac{\cos (2 x)}{\cos (x)-\sin (x)}
lim
x
→
4
π
c
o
s
(
x
)
−
s
i
n
(
x
)
c
o
s
(
2
x
)
.
\newline
Choose
1
1
1
answer:
\newline
(A)
2
\sqrt{2}
2
\newline
(B)
2
2
2
\newline
(C)
4
4
4
\newline
(D) The limit doesn't exist
Get tutor help
Find
lim
x
→
−
2
3
−
6
x
+
21
x
+
2
\lim _{x \rightarrow-2} \frac{3-\sqrt{6 x+21}}{x+2}
lim
x
→
−
2
x
+
2
3
−
6
x
+
21
.
\newline
Choose
1
1
1
answer:
\newline
(A)
−
1
-1
−
1
\newline
(B)
−
2
-2
−
2
\newline
(C)
−
3
-3
−
3
\newline
(D) The limit doesn't exist
Get tutor help
Find
lim
x
→
−
3
x
+
3
4
−
2
x
+
22
\lim _{x \rightarrow-3} \frac{x+3}{4-\sqrt{2 x+22}}
lim
x
→
−
3
4
−
2
x
+
22
x
+
3
.
\newline
Choose
1
1
1
answer:
\newline
(A)
−
3
-3
−
3
\newline
(B)
−
4
-4
−
4
\newline
(C)
−
3
4
-\frac{3}{4}
−
4
3
\newline
(D) The limit doesn't exist
Get tutor help
Find
lim
x
→
−
2
x
3
+
3
x
2
+
2
x
x
+
2
\lim _{x \rightarrow-2} \frac{x^{3}+3 x^{2}+2 x}{x+2}
lim
x
→
−
2
x
+
2
x
3
+
3
x
2
+
2
x
.
\newline
Choose
1
1
1
answer:
\newline
(A)
6
6
6
\newline
(B)
0
0
0
\newline
(C)
2
2
2
\newline
(D) The limit doesn't exist
Get tutor help
lim
x
→
π
4
cos
(
x
)
=
?
\lim _{x \rightarrow \frac{\pi}{4}} \cos (x)=?
x
→
4
π
lim
cos
(
x
)
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
2
\frac{1}{2}
2
1
\newline
(B)
1
1
1
\newline
(C)
2
2
\frac{\sqrt{2}}{2}
2
2
\newline
(D) The limit doesn't exist.
Get tutor help
Let
f
(
x
)
=
6
x
3
3
x
+
2
f(x)=\frac{6 x^{3}}{3 x+2}
f
(
x
)
=
3
x
+
2
6
x
3
.
\newline
Find
lim
x
→
∞
f
(
x
)
\lim _{x \rightarrow \infty} f(x)
lim
x
→
∞
f
(
x
)
.
\newline
Choose
1
1
1
answer:
\newline
(A)
2
2
2
\newline
(B)
3
3
3
\newline
(C)
0
0
0
\newline
D The limit is unbounded
Get tutor help
(
−
21
+
65
i
)
+
(
−
30
+
12
i
)
=
−
×
+
≠
\frac{(-21+65 i)+(-30+12 i)=}{\substack{-\times \\+\neq}}
−×
+
=
(
−
21
+
65
i
)
+
(
−
30
+
12
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
(
−
8
)
−
(
6
+
30
i
)
=
(-8)-(6+30 i)=
(
−
8
)
−
(
6
+
30
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Distribute to create an equivalent expression with the fewest symbols possible.
\newline
7
(
4
p
+
2
q
+
3
r
)
=
7(4 p+2 q+3 r)=
7
(
4
p
+
2
q
+
3
r
)
=
Get tutor help
Distribute to create an equivalent expression with the fewest symbols possible.
\newline
1
3
(
3
j
+
6
)
=
□
\frac{1}{3}(3 j+6)=\square
3
1
(
3
j
+
6
)
=
□
Get tutor help
Simplify to create an equivalent expression.
\newline
19
−
6
(
−
k
−
2
)
19-6(-k-2)
19
−
6
(
−
k
−
2
)
\newline
Choose
1
1
1
answer:
\newline
(A)
−
6
k
+
31
-6k+31
−
6
k
+
31
\newline
(B)
25
k
+
7
25k+7
25
k
+
7
\newline
(C)
6
k
+
31
6k+31
6
k
+
31
\newline
(D)
25
k
+
31
25k+31
25
k
+
31
Get tutor help
Simplify to create an equivalent expression.
\newline
6
(
7
−
3
y
)
+
6
(
y
+
1
)
6(7-3y)+6(y+1)
6
(
7
−
3
y
)
+
6
(
y
+
1
)
\newline
Choose
1
1
1
answer:
\newline
(A)
12
y
+
48
12y+48
12
y
+
48
\newline
(B)
−
12
y
+
43
-12y+43
−
12
y
+
43
\newline
(C)
−
12
y
+
48
-12y+48
−
12
y
+
48
\newline
(D)
−
12
y
−
48
-12y-48
−
12
y
−
48
Get tutor help
Simplify to create an equivalent expression.
\newline
2
(
3
y
+
6
)
−
3
(
−
4
−
y
)
2(3y+6)-3(-4-y)
2
(
3
y
+
6
)
−
3
(
−
4
−
y
)
\newline
Choose
1
1
1
answer:
\newline
(A)
9
y
9y
9
y
\newline
(B)
5
y
+
24
5y+24
5
y
+
24
\newline
(C)
9
y
−
24
9y-24
9
y
−
24
\newline
(D)
9
y
+
24
9y+24
9
y
+
24
Get tutor help
Is
(
1
,
1
)
(1,1)
(
1
,
1
)
a solution to this system of equations?
\newline
8
x
+
y
=
9
8x + y = 9
8
x
+
y
=
9
\newline
6
x
+
12
y
=
18
6x + 12y = 18
6
x
+
12
y
=
18
\newline
Choices:
\newline
[[yes]
\newline
[no]]
Get tutor help
