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Math Problems
Algebra 2
Roots of rational numbers
Expressions, equations, \& inequalities: Quiz
1
1
1
\newline
Combine like terms to create an equivalent expression.
\newline
Enter any coefficients as simplified proper or improper fractions or integers.
\newline
2
(
1
5
m
−
2
5
)
+
3
5
2\left(\frac{1}{5} m-\frac{2}{5}\right)+\frac{3}{5}
2
(
5
1
m
−
5
2
)
+
5
3
\newline
□
\square
□
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Question
\newline
Show
\newline
Convert
62
9
\frac{62}{9}
9
62
into a mixed number.
\newline
Answer Attempt
1
1
1
out of
2
2
2
\newline
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\newline
Microsoft Teams
\newline
Divide. Write the quotient in lowest terms.
\newline
4
2
3
÷
7
=
4 \frac{2}{3} \div 7=
4
3
2
÷
7
=
\newline
□
\square
□
\newline
Related content
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Combine like terms.
\newline
9
5
v
+
v
=
28
\frac{9}{5}v+v=28
5
9
v
+
v
=
28
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Divide:
\newline
(
918595
5
)
(\frac{918595}{5})
(
5
918595
)
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Simplify. Write your answer as a proper or improper fraction in simplest form.
\newline
50
33
31
34
=
\frac{\frac{50}{33}}{\frac{31}{34}}=
34
31
33
50
=
____________
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Divide.
\newline
27
64
3
\sqrt[3]{\frac{27}{64}}
3
64
27
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Find the line's slope and a point on the line.
\newline
y
−
1
=
−
1
3
(
x
+
5
)
y-1=-\frac{1}{3}(x+5)
y
−
1
=
−
3
1
(
x
+
5
)
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Find a point on the line and the line's slope.
\newline
y
+
4
=
1
4
(
x
+
5
)
y+4=\frac{1}{4}(x+5)
y
+
4
=
4
1
(
x
+
5
)
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Find the line's slope and a point on the line.
\newline
y
+
5
=
−
3
2
(
x
−
1
)
y+5=-\frac{3}{2}(x-1)
y
+
5
=
−
2
3
(
x
−
1
)
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The perimeter of a square is increasing at a rate of
5
5
5
meters per hour.
\newline
At a certain instant, the perimeter is
30
30
30
meters.
\newline
What is the rate of change of the area of the square at that instant (in square meters per hour)?
\newline
Choose
1
1
1
answer:
\newline
(A)
5
4
\frac{5}{4}
4
5
\newline
(B)
25
25
25
\newline
(C)
75
4
\frac{75}{4}
4
75
\newline
(D)
25
16
\frac{25}{16}
16
25
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Solve for
a
a
a
. Express your answer in simplest radical form if necessary.
\newline
a
=
(
178.8
)
2
a=(\sqrt{178.8})^{2}
a
=
(
178.8
)
2
\newline
Answer:
a
=
a=
a
=
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Solve for
a
a
a
. Express your answer in simplest radical form if necessary.
\newline
a
=
(
−
16
3
)
3
a=(\sqrt[3]{-16})^{3}
a
=
(
3
−
16
)
3
\newline
Answer:
a
=
a=
a
=
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Give the value for each. Round to the nearest
100
100
100
th if necessary.
\newline
(
−
8
)
3
3
\sqrt[3]{(-8)^{3}}
3
(
−
8
)
3
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Give the value for each. Round to the nearest
100
100
100
th if necessary.
\newline
8
216
3
\sqrt[3]{\frac{8}{216}}
3
216
8
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Give the value for each. Round to the nearest
100
100
100
th if necessary.
\newline
64
729
3
\sqrt[3]{\frac{64}{729}}
3
729
64
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Give the value for each. Round to the nearest
100
100
100
th if necessary.
\newline
16
54
3
\sqrt[3]{\frac{16}{54}}
3
54
16
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Find each square root. Where necessary, round to the nearest
100
100
100
th:
\newline
32
50
\sqrt{\frac{32}{50}}
50
32
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Find each square root. Where necessary, round to the nearest
100
100
100
th:
\newline
4
40
\sqrt{\frac{4}{40}}
40
4
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Find each square root. Where necessary, round to the nearest
100
100
100
th:
\newline
2
25
\sqrt{\frac{2}{25}}
25
2
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Find each square root. Where necessary, round to the nearest
100
100
100
th:
\newline
2
72
\sqrt{\frac{2}{72}}
72
2
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Fill in the gaps that would make thes fractions equivalent
\newline
3
7
=
□
21
\frac{3}{7}=\frac{\square}{21}
7
3
=
21
□
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Find the equations of the lines using the points given
\newline
7
7
7
)
(
−
1
,
−
4
)
(
3
,
−
3
)
(-1,-4)(3,-3)
(
−
1
,
−
4
)
(
3
,
−
3
)
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Convert to a decimal:
\newline
23
999
\frac{23}{999}
999
23
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(ii) Write the value of
27
3
9
2
\frac{\sqrt[3]{27}}{9^{2}}
9
2
3
27
as a fraction in its LOWEST terms.
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What can the maximum number of digits be in the repeating block of digits in the decimal expansion of
1
17
\frac{1}{17}
17
1
? Perform the division to check your answer.
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64
3
=
?
\sqrt[3]{64}=?
3
64
=
?
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16
a
b
4
4
\sqrt[4]{16 a b^{4}}
4
16
a
b
4
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
x
+
1
x
y
2
x+\frac{1}{x y^{2}}
x
+
x
y
2
1
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
1
5
x
3
+
1
2
\frac{1}{5 x^{3}}+\frac{1}{2}
5
x
3
1
+
2
1
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
5
x
+
4
x
5
\frac{5}{x}+\frac{4 x}{5}
x
5
+
5
4
x
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
5
2
x
2
−
1
\frac{5}{2 x^{2}}-1
2
x
2
5
−
1
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
1
15
x
2
+
5
x
3
\frac{1}{15 x^{2}}+\frac{5 x}{3}
15
x
2
1
+
3
5
x
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
4
5
x
+
x
3
\frac{4}{5 x}+\frac{x}{3}
5
x
4
+
3
x
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
1
2
x
−
5
3
x
3
\frac{1}{2 x}-\frac{5}{3 x^{3}}
2
x
1
−
3
x
3
5
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
1
2
x
3
−
1
3
\frac{1}{2 x^{3}}-\frac{1}{3}
2
x
3
1
−
3
1
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
5
2
x
3
+
3
5
\frac{5}{2 x^{3}}+\frac{3}{5}
2
x
3
5
+
5
3
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
5
x
2
+
1
3
x
2
\frac{5 x}{2}+\frac{1}{3 x^{2}}
2
5
x
+
3
x
2
1
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
1
5
x
2
−
6
x
\frac{1}{5 x^{2}}-6 x
5
x
2
1
−
6
x
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
5
x
3
+
1
2
\frac{5}{x^{3}}+\frac{1}{2}
x
3
5
+
2
1
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
x
5
+
1
3
x
\frac{x}{5}+\frac{1}{3 x}
5
x
+
3
x
1
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
5
12
+
7
5
\frac{5}{12}+\frac{7}{5}
12
5
+
5
7
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
9
4
+
1
10
\frac{9}{4}+\frac{1}{10}
4
9
+
10
1
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
1
2
−
8
11
\frac{1}{2}-\frac{8}{11}
2
1
−
11
8
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
2
7
+
7
9
\frac{2}{7}+\frac{7}{9}
7
2
+
9
7
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
12
7
+
1
14
\frac{12}{7}+\frac{1}{14}
7
12
+
14
1
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
2
9
+
11
18
\frac{2}{9}+\frac{11}{18}
9
2
+
18
11
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
1
15
−
2
15
\frac{1}{15}-\frac{2}{15}
15
1
−
15
2
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
8
9
−
1
6
\frac{8}{9}-\frac{1}{6}
9
8
−
6
1
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
4
15
+
11
9
\frac{4}{15}+\frac{11}{9}
15
4
+
9
11
\newline
Answer:
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