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Math Problems
Algebra 2
Add, subtract, multiply, and divide polynomials
Order the following numbers from least to greatest.
\newline
Put the least value on the left.
\newline
−
2
−
5
2
1.7
\begin{array}{l|l|l} -2 & -\frac{5}{2} & 1.7 \end{array}
−
2
−
2
5
1.7
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Order the following numbers from least to greatest.
\newline
−
14
3
∣
−
5.1
∣
−
4
-\frac{14}{3}|-5.1|-4
−
3
14
∣
−
5.1∣
−
4
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Order the following numbers from least to greatest.
\newline
8
9
0.85
0.92
\begin{array}{l|l|l} \frac{8}{9} & 0.85 & 0.92 \end{array}
9
8
0.85
0.92
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Find
lim
x
→
3
x
−
3
4
x
+
4
−
4
\lim _{x \rightarrow 3} \frac{x-3}{\sqrt{4 x+4}-4}
lim
x
→
3
4
x
+
4
−
4
x
−
3
.
\newline
Choose
1
1
1
answer:
\newline
(A)
−
4
-4
−
4
\newline
(B)
1
1
1
\newline
(C)
2
2
2
\newline
(D) The limit doesn't exist
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Find
lim
x
→
1
5
x
+
4
−
3
x
−
1
\lim _{x \rightarrow 1} \frac{\sqrt{5 x+4}-3}{x-1}
lim
x
→
1
x
−
1
5
x
+
4
−
3
.
\newline
Choose
1
1
1
answer:
\newline
(A)
3
5
\frac{3}{5}
5
3
\newline
(B)
5
6
\frac{5}{6}
6
5
\newline
(C)
1
1
1
\newline
(D) The limit doesn't exist
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Find
lim
x
→
4
2
−
4
x
−
12
x
−
4
\lim _{x \rightarrow 4} \frac{2-\sqrt{4 x-12}}{x-4}
lim
x
→
4
x
−
4
2
−
4
x
−
12
.
\newline
Choose
1
1
1
answer:
\newline
(A)
2
2
2
\newline
(B)
1
1
1
\newline
(C)
−
1
-1
−
1
\newline
(D) The limit doesn't exist
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Find
lim
x
→
1
x
−
1
5
x
−
1
−
2
\lim _{x \rightarrow 1} \frac{x-1}{\sqrt{5 x-1}-2}
lim
x
→
1
5
x
−
1
−
2
x
−
1
.
\newline
Choose
1
1
1
answer:
\newline
(A)
5
2
\frac{5}{2}
2
5
\newline
(B)
4
5
\frac{4}{5}
5
4
\newline
(C)
−
1
5
-\frac{1}{5}
−
5
1
\newline
(D) The limit doesn't exist
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Order the following numbers from least to greatest.
\newline
Put the least number on the left.
\newline
3
−
7
3
−
3
3
7
3\quad -\frac{7}{3} \quad -3\quad \frac{3}{7}
3
−
3
7
−
3
7
3
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Find
lim
x
→
1
2
x
x
2
−
7
x
+
6
\lim _{x \rightarrow 1} \frac{2 x}{x^{2}-7 x+6}
lim
x
→
1
x
2
−
7
x
+
6
2
x
.
\newline
Choose
1
1
1
answer:
\newline
(A)
0
0
0
\newline
(B)
1
14
\frac{1}{14}
14
1
\newline
(C)
1
7
\frac{1}{7}
7
1
\newline
(D) The limit doesn't exist
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Find
lim
x
→
3
−
4
2
x
−
5
\lim _{x \rightarrow 3} \frac{-4}{2 x-5}
lim
x
→
3
2
x
−
5
−
4
.
\newline
Choose
1
1
1
answer:
\newline
(A)
−
4
-4
−
4
\newline
(B)
4
11
\frac{4}{11}
11
4
\newline
(C)
1
1
1
\newline
(D) The limit doesn't exist
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Find
lim
x
→
2
x
+
2
x
−
2
\lim _{x \rightarrow 2} \frac{x+2}{x-2}
lim
x
→
2
x
−
2
x
+
2
.
\newline
Choose
1
1
1
answer:
\newline
(A)
4
4
4
\newline
(B)
1
1
1
\newline
(C)
0
0
0
\newline
D The limit doesn't exist
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Find
lim
x
→
4
3
x
(
x
−
2
)
(
x
+
2
)
\lim _{x \rightarrow 4} \frac{3 x}{(x-2)(x+2)}
lim
x
→
4
(
x
−
2
)
(
x
+
2
)
3
x
.
\newline
Choose
1
1
1
answer:
\newline
(A)
1
4
\frac{1}{4}
4
1
\newline
(B)
3
4
\frac{3}{4}
4
3
\newline
(C)
1
1
1
\newline
(D) The limit doesn't exist
Get tutor help
Find
lim
x
→
1
x
−
11
x
+
7
\lim _{x \rightarrow 1} \frac{x-11}{x+7}
lim
x
→
1
x
+
7
x
−
11
.
\newline
Choose
1
1
1
answer:
\newline
(A)
−
2
-2
−
2
\newline
(B)
−
5
4
-\frac{5}{4}
−
4
5
\newline
(C)
3
2
\frac{3}{2}
2
3
\newline
(D) The limit doesn't exist
Get tutor help
Divide the following complex numbers.
\newline
−
11
−
3
i
1
−
2
i
\frac{-11-3 i}{1-2 i}
1
−
2
i
−
11
−
3
i
Get tutor help
Divide the following complex numbers.
\newline
4
+
19
i
−
5
−
2
i
\frac{4+19 i}{-5-2 i}
−
5
−
2
i
4
+
19
i
Get tutor help
Divide the following complex numbers.
\newline
−
1
+
5
i
1
−
i
\frac{-1+5 i}{1-i}
1
−
i
−
1
+
5
i
Get tutor help
Divide the following complex numbers.
\newline
−
23
+
11
i
5
+
i
\frac{-23+11 i}{5+i}
5
+
i
−
23
+
11
i
Get tutor help
Divide the following complex numbers.
\newline
7
+
17
i
2
+
3
i
\frac{7+17 i}{2+3 i}
2
+
3
i
7
+
17
i
Get tutor help
Divide the following complex numbers.
\newline
−
8
−
6
i
3
+
i
\frac{-8-6 i}{3+i}
3
+
i
−
8
−
6
i
Get tutor help
Divide the following complex numbers.
\newline
−
3
−
15
i
−
2
+
3
i
\frac{-3-15 i}{-2+3 i}
−
2
+
3
i
−
3
−
15
i
Get tutor help
Divide the following complex numbers.
\newline
9
−
2
i
1
−
4
i
\frac{9-2 i}{1-4 i}
1
−
4
i
9
−
2
i
Get tutor help
Divide the following complex numbers.
\newline
−
3
+
15
i
3
−
2
i
\frac{-3+15 i}{3-2 i}
3
−
2
i
−
3
+
15
i
Get tutor help
Divide the following complex numbers.
\newline
8
−
2
i
−
4
+
i
\frac{8-2 i}{-4+i}
−
4
+
i
8
−
2
i
Get tutor help
Divide the following complex numbers.
\newline
−
6
+
8
i
−
4
−
3
i
\frac{-6+8 i}{-4-3 i}
−
4
−
3
i
−
6
+
8
i
Get tutor help
Divide the following complex numbers.
\newline
2
−
16
i
−
3
−
i
\frac{2-16 i}{-3-i}
−
3
−
i
2
−
16
i
Get tutor help
Divide the following complex numbers.
\newline
−
20
+
4
i
3
+
2
i
\frac{-20+4 i}{3+2 i}
3
+
2
i
−
20
+
4
i
Get tutor help
Divide the following complex numbers.
\newline
−
9
−
6
i
−
3
−
2
i
\frac{-9-6 i}{-3-2 i}
−
3
−
2
i
−
9
−
6
i
Get tutor help
Divide the following complex numbers.
\newline
2
−
8
i
3
+
5
i
\frac{2-8 i}{3+5 i}
3
+
5
i
2
−
8
i
Get tutor help
Divide the following complex numbers.
\newline
4
+
2
i
−
1
+
i
\frac{4+2 i}{-1+i}
−
1
+
i
4
+
2
i
Get tutor help
Divide the following complex numbers.
\newline
8
+
19
i
4
−
3
i
\frac{8+19 i}{4-3 i}
4
−
3
i
8
+
19
i
Get tutor help
Divide the following complex numbers.
\newline
1
+
8
i
−
2
−
i
\frac{1+8 i}{-2-i}
−
2
−
i
1
+
8
i
Get tutor help
Divide the following complex numbers.
\newline
−
2
−
6
i
−
1
−
3
i
\frac{-2-6 i}{-1-3 i}
−
1
−
3
i
−
2
−
6
i
Get tutor help
Divide the following complex numbers.
\newline
−
32
+
8
i
5
+
3
i
\frac{-32+8 i}{5+3 i}
5
+
3
i
−
32
+
8
i
Get tutor help
Divide the following complex numbers.
\newline
−
14
+
22
i
−
2
−
4
i
\frac{-14+22 i}{-2-4 i}
−
2
−
4
i
−
14
+
22
i
Get tutor help
Divide the following complex numbers.
\newline
−
4
−
2
i
1
−
i
\frac{-4-2 i}{1-i}
1
−
i
−
4
−
2
i
Get tutor help
Divide the following complex numbers.
\newline
−
8
+
24
i
4
−
4
i
\frac{-8+24 i}{4-4 i}
4
−
4
i
−
8
+
24
i
Get tutor help
Divide the following complex numbers.
\newline
11
+
24
i
−
4
−
i
\frac{11+24 i}{-4-i}
−
4
−
i
11
+
24
i
Get tutor help
Divide the following complex numbers.
\newline
9
−
i
−
4
+
5
i
\frac{9-i}{-4+5 i}
−
4
+
5
i
9
−
i
Get tutor help
Divide the following complex numbers.
\newline
25
+
19
i
5
−
3
i
\frac{25+19 i}{5-3 i}
5
−
3
i
25
+
19
i
Get tutor help
Divide the following complex numbers.
\newline
30
+
20
i
1
+
5
i
\frac{30+20 i}{1+5 i}
1
+
5
i
30
+
20
i
Get tutor help
Divide the following complex numbers.
\newline
10
+
40
i
−
3
+
5
i
\frac{10+40 i}{-3+5 i}
−
3
+
5
i
10
+
40
i
Get tutor help
Find
lim
x
→
∞
−
5
x
4
+
2
x
x
3
\lim _{x \rightarrow \infty} \frac{-5 x^{4}+2 x}{x^{3}}
lim
x
→
∞
x
3
−
5
x
4
+
2
x
.
\newline
Choose
1
1
1
answer:
\newline
(A)
2
2
2
\newline
(B)
0
0
0
\newline
(C)
−
5
-5
−
5
\newline
(D) The limit is unbounded
Get tutor help
Let
g
(
x
)
=
5
x
5
x
4
−
4
g(x)=\frac{5 x}{5 x^{4}-4}
g
(
x
)
=
5
x
4
−
4
5
x
.
\newline
Find
lim
x
→
∞
g
(
x
)
\lim _{x \rightarrow \infty} g(x)
lim
x
→
∞
g
(
x
)
.
\newline
Choose
1
1
1
answer:
\newline
(A)
−
5
4
-\frac{5}{4}
−
4
5
\newline
(B)
1
1
1
\newline
(C)
0
0
0
\newline
D The limit is unbounded
Get tutor help
Find
lim
x
→
∞
−
4
x
3
+
5
x
2
x
3
+
7
\lim _{x \rightarrow \infty} \frac{-4 x^{3}+5 x}{2 x^{3}+7}
lim
x
→
∞
2
x
3
+
7
−
4
x
3
+
5
x
.
\newline
Choose
1
1
1
answer:
\newline
(A)
5
7
\frac{5}{7}
7
5
\newline
(B)
−
2
-2
−
2
\newline
(C)
0
0
0
\newline
(D) The limit is unbounded
Get tutor help
Find
lim
x
→
∞
x
+
1
x
2
+
1
\lim _{x \rightarrow \infty} \frac{x+1}{x^{2}+1}
lim
x
→
∞
x
2
+
1
x
+
1
.
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
\newline
(B)
2
2
2
\newline
(C)
0
0
0
\newline
(D) The limit is unbounded
Get tutor help
Find
lim
x
→
∞
x
2
−
4
x
+
4
\lim _{x \rightarrow \infty} \frac{x^{2}-4}{x+4}
lim
x
→
∞
x
+
4
x
2
−
4
.
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
\newline
(B)
−
1
-1
−
1
\newline
(C)
0
0
0
\newline
(D) The limit is unbounded
Get tutor help
Find
lim
x
→
∞
5
x
4
+
x
2
2
x
4
−
x
3
−
4
\lim _{x \rightarrow \infty} \frac{5 x^{4}+x^{2}}{2 x^{4}-x^{3}-4}
lim
x
→
∞
2
x
4
−
x
3
−
4
5
x
4
+
x
2
.
\newline
Choose
1
1
1
answer:
\newline
(A)
5
2
\frac{5}{2}
2
5
\newline
(B)
0
0
0
\newline
(C)
−
1
4
-\frac{1}{4}
−
4
1
\newline
(D) The limit is unbounded
Get tutor help
Find
lim
x
→
∞
3
x
3
−
5
x
x
3
−
2
x
2
+
1
\lim _{x \rightarrow \infty} \frac{3 x^{3}-5 x}{x^{3}-2 x^{2}+1}
lim
x
→
∞
x
3
−
2
x
2
+
1
3
x
3
−
5
x
.
\newline
Choose
1
1
1
answer:
\newline
(A)
−
5
-5
−
5
\newline
(B)
0
0
0
\newline
(C)
3
3
3
\newline
(D) The limit is unbounded
Get tutor help
Find
lim
x
→
∞
5
x
3
+
2
x
2
−
7
x
4
+
3
x
\lim _{x \rightarrow \infty} \frac{5 x^{3}+2 x^{2}-7}{x^{4}+3 x}
lim
x
→
∞
x
4
+
3
x
5
x
3
+
2
x
2
−
7
.
\newline
Choose
1
1
1
answer:
\newline
(A)
0
0
0
\newline
(B)
5
5
5
\newline
(C)
3
4
\frac{3}{4}
4
3
\newline
(D) The limit is unbounded
Get tutor help
Find the product. Simplify your answer.
\newline
(
r
+
3
)
(
4
r
+
2
)
(r + 3)(4r + 2)
(
r
+
3
)
(
4
r
+
2
)
\newline
______
Get tutor help
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