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Math Problems
Algebra 2
Solve quadratic inequalities
What is
6
+
(
4
a
)
+
(
b
3
)
6 + \left( \frac{4}{a} \right) + \left( \frac{b}{3} \right)
6
+
(
a
4
)
+
(
3
b
)
when
a
=
4
a = 4
a
=
4
and
b
=
3
b = 3
b
=
3
?
Get tutor help
Solve the inequality and graph the solution.
2
(
h
+
8
)
<
8
2(h+8)<8
2
(
h
+
8
)
<
8
Get tutor help
Compare the numbers. Pick the correct sign.
\newline
7
7
7
?
?
?
−
9
-9
−
9
\newline
\newline
You can use the number line to help.
\newline
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Compare the numbers. Pick the correct sign.
\newline
3
3
3
?
?
?
2
2
2
\newline
You can use the number line to help.
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Compare the numbers. Pick the correct sign.
\newline
−
4
?
6
-4 \,?\, 6
−
4
?
6
\newline
\newline
You can use the number line to help.
\newline
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Compare the numbers. Pick the correct sign.
\newline
0
?
8
0 ? 8
0
?
8
\newline
You can use the number line to help.
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
1
)
(
x
+
1
)
>
0
(x - 1)(x + 1) > 0
(
x
−
1
)
(
x
+
1
)
>
0
\newline
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
\newline
______
\newline
Get tutor help
x
−
6
y
>
5
7
x
+
2
y
≥
4
\begin{array}{l} x-6 y>5 \\ 7 x+2 y \geq 4 \end{array}
x
−
6
y
>
5
7
x
+
2
y
≥
4
\newline
Is
(
10
,
−
2
)
(10,-2)
(
10
,
−
2
)
a solution of the system?
Get tutor help
7
x
−
9
y
<
5
−
2
x
+
4
y
>
5
\begin{array}{l} 7 x-9 y<5 \\ -2 x+4 y>5 \end{array}
7
x
−
9
y
<
5
−
2
x
+
4
y
>
5
\newline
Is
(
3
,
5
)
(3,5)
(
3
,
5
)
a solution of the system?
Get tutor help
(
x
+
3
)
3
(
x
−
1
)
2
(
x
−
4
)
≥
0
(x+3)^{3}(x-1)^{2}(x-4) \geq 0
(
x
+
3
)
3
(
x
−
1
)
2
(
x
−
4
)
≥
0
Get tutor help
Compare the numbers. Pick the correct sign.
\newline
−
8
?
−
8
-8 \,?\, -8
−
8
?
−
8
\newline
You can use the number line to help.
\newline
Choices:
\newline
(
A
)
>
(A) >
(
A
)
>
\newline
(
B
)
<
(B) <
(
B
)
<
\newline
(
C
)
=
(C) =
(
C
)
=
Get tutor help
Compare the numbers. Pick the correct sign.
\newline
−
5
?
5
-5 \,?\, 5
−
5
?
5
\newline
\newline
You can use the number line to help.
\newline
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Compare the numbers. Pick the correct sign.
\newline
−
4
?
0
-4 \, ? \, 0
−
4
?
0
\newline
\newline
You can use the number line to help.
\newline
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Compare the numbers. Pick the correct sign.
\newline
−
3
?
7
-3 \, ? \, 7
−
3
?
7
\newline
You can use the number line to help.
\newline
Choices:
\newline
(
A
)
>
(A) >
(
A
)
>
\newline
(
B
)
<
(B) <
(
B
)
<
\newline
(
C
)
=
(C) =
(
C
)
=
Get tutor help
Find
lim
h
→
0
6
arctan
(
1
+
h
)
−
6
arctan
(
1
)
h
\lim _{h \rightarrow 0} \frac{6 \arctan (1+h)-6 \arctan (1)}{h}
lim
h
→
0
h
6
a
r
c
t
a
n
(
1
+
h
)
−
6
a
r
c
t
a
n
(
1
)
.
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
\newline
(B)
3
3
3
\newline
(C)
6
6
6
\newline
(D) The limit doesn't exist
Get tutor help
Find
lim
h
→
0
6
9
+
h
−
6
9
h
\lim _{h \rightarrow 0} \frac{6 \sqrt{9+h}-6 \sqrt{9}}{h}
lim
h
→
0
h
6
9
+
h
−
6
9
.
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
\newline
(B)
6
6
6
\newline
(C)
18
18
18
\newline
(D) The limit doesn't exist
Get tutor help
Find
lim
h
→
0
4
sin
(
π
2
+
h
)
−
4
sin
(
π
2
)
h
\lim _{h \rightarrow 0} \frac{4 \sin \left(\frac{\pi}{2}+h\right)-4 \sin \left(\frac{\pi}{2}\right)}{h}
lim
h
→
0
h
4
s
i
n
(
2
π
+
h
)
−
4
s
i
n
(
2
π
)
.
\newline
Choose
1
1
1
answer:
\newline
(A)
0
0
0
\newline
(B)
1
1
1
\newline
(C)
4
4
4
\newline
(D) The limit doesn't exist
Get tutor help
Solve for
x
x
x
.
\newline
x
(
x
−
5
)
>
0
x(x - 5) > 0
x
(
x
−
5
)
>
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve for
x
x
x
.
\newline
x
(
x
−
3
)
≥
0
x(x - 3) \geq 0
x
(
x
−
3
)
≥
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
5
)
(
x
+
5
)
>
0
(x - 5)(x + 5) > 0
(
x
−
5
)
(
x
+
5
)
>
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve for
x
x
x
.
\newline
x
(
x
+
4
)
≤
0
x(x + 4) \leq 0
x
(
x
+
4
)
≤
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve for
x
x
x
.
\newline
(
x
+
2
)
(
x
−
6
)
<
0
(x + 2)(x - 6) < 0
(
x
+
2
)
(
x
−
6
)
<
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
1
)
(
x
−
4
)
≥
0
(x - 1)(x - 4) \geq 0
(
x
−
1
)
(
x
−
4
)
≥
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
1
)
(
x
+
5
)
<
0
(x - 1)(x + 5) < 0
(
x
−
1
)
(
x
+
5
)
<
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
3
)
(
x
−
6
)
>
0
(x - 3)(x - 6) > 0
(
x
−
3
)
(
x
−
6
)
>
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
1
)
(
x
+
6
)
≤
0
(x - 1)(x + 6) \leq 0
(
x
−
1
)
(
x
+
6
)
≤
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
x
(
x
−
4
)
<
0
x(x - 4) < 0
x
(
x
−
4
)
<
0
\newline
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
\newline
______
\newline
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
1
)
(
x
−
2
)
≤
0
(x - 1)(x - 2) \leq 0
(
x
−
1
)
(
x
−
2
)
≤
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
2
)
(
x
+
3
)
≥
0
(x - 2)(x + 3) \geq 0
(
x
−
2
)
(
x
+
3
)
≥
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
+
4
)
(
x
−
4
)
<
0
(x + 4)(x - 4) < 0
(
x
+
4
)
(
x
−
4
)
<
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
1
)
(
x
−
2
)
<
0
(x - 1)(x - 2) < 0
(
x
−
1
)
(
x
−
2
)
<
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
3
)
(
x
−
6
)
<
0
(x - 3)(x - 6) < 0
(
x
−
3
)
(
x
−
6
)
<
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
+
1
)
(
x
−
4
)
>
0
(x + 1)(x - 4) > 0
(
x
+
1
)
(
x
−
4
)
>
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve for
x
x
x
.
\newline
(
x
+
2
)
(
x
+
3
)
≥
0
(x + 2)(x + 3) \geq 0
(
x
+
2
)
(
x
+
3
)
≥
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
4
)
(
x
+
5
)
<
0
(x - 4)(x + 5) < 0
(
x
−
4
)
(
x
+
5
)
<
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
+
1
)
(
x
−
2
)
≥
0
(x + 1)(x - 2) \geq 0
(
x
+
1
)
(
x
−
2
)
≥
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
4
)
(
x
+
6
)
<
0
(x - 4)(x + 6) < 0
(
x
−
4
)
(
x
+
6
)
<
0
\newline
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
x
(
x
+
2
)
≥
0
x(x + 2) \geq 0
x
(
x
+
2
)
≥
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
x
(
x
+
4
)
>
0
x(x + 4) > 0
x
(
x
+
4
)
>
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
2
)
(
x
−
3
)
≤
0
(x - 2)(x - 3) \leq 0
(
x
−
2
)
(
x
−
3
)
≤
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve for
x
x
x
.
\newline
x
(
x
+
2
)
≤
0
x(x + 2) \leq 0
x
(
x
+
2
)
≤
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve for
x
x
x
.
\newline
x
(
x
−
2
)
≥
0
x(x - 2) \geq 0
x
(
x
−
2
)
≥
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
6
)
(
x
+
6
)
<
0
(x - 6)(x + 6) < 0
(
x
−
6
)
(
x
+
6
)
<
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
5
)
(
x
−
6
)
>
0
(x - 5)(x - 6) > 0
(
x
−
5
)
(
x
−
6
)
>
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
2
)
(
x
−
3
)
>
0
(x - 2)(x - 3) > 0
(
x
−
2
)
(
x
−
3
)
>
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.
Get tutor help
Solve for
x
x
x
.
\newline
x
(
x
+
6
)
<
0
x(x + 6) < 0
x
(
x
+
6
)
<
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve for
x
x
x
.
\newline
(
x
−
5
)
(
x
−
6
)
≥
0
(x - 5)(x - 6) \geq 0
(
x
−
5
)
(
x
−
6
)
≥
0
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
.______
Get tutor help
Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
2
(
−
6
x
−
7
)
=
−
3
(
4
x
+
5
)
2(-6 x-7)=-3(4 x+5)
2
(
−
6
x
−
7
)
=
−
3
(
4
x
+
5
)
\newline
Get tutor help
Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
5
(
x
−
1
)
=
2
(
6
x
+
7
)
5(x-1)=2(6 x+7)
5
(
x
−
1
)
=
2
(
6
x
+
7
)
\newline
Get tutor help
Solve the equation for
x
x
x
.
\newline
(
x
−
6
)
(
x
+
7
)
=
0
(x-6)(x+7)=0
(
x
−
6
)
(
x
+
7
)
=
0
\newline
Select all that apply.
\newline
(A)
7
7
7
\newline
(B)
−
7
-7
−
7
\newline
(C)
6
6
6
\newline
(D)
−
6
-6
−
6
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2
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