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Checkpoint: Rational and irrational numbers

[8\times5\times7],[2000 \times5]:

\left\{\begin{array}{l}3 x-x y=10 \\ y+x y=6\end{array}\right.

Select all the numbers that are irrational.

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Multi-select Choices:

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\sqrt{2}

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\sqrt{3}

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\sqrt{5}

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\sqrt{4}

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\sqrt{6}

Which decimal is equivalent to

\frac{1}{6}

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0.1616

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0.1\overline{6}

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0.16

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0.\overline{16}

Select all the numbers that are irrational.

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Multi-select Choices:

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-\frac{3}{4}

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\sqrt{\frac{3}{4}}

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0.\overline{34}

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3\sqrt{4}

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\sqrt{34}

Which decimal is equivalent to

\frac{2}{7}

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0.285714

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0.\overline{285714}

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0.\overline{27}

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0.27

Which fractions are equivalent to

0.\overline{45}

? Select all that apply.

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Multi-select Choices:

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\frac{9}{20}

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\frac{45}{100}

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\frac{45}{99}

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\frac{5}{11}

Which decimal is equivalent to

\frac{5}{9}

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0.\overline{5}

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0.\overline{9}

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0.1\overline{8}

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0.\overline{18}

Select all the numbers that are irrational.

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Multi-select Choices:

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-\frac{6}{7}

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4\sqrt{5}

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0.333

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0.\overline{7}

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-6.11

Which fractions are equivalent to

0.1\overline{7}

? Select all that apply.

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Multi-select Choices:

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\frac{177}{1,000}

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\frac{16}{90}

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\frac{8}{45}

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\frac{17}{100}

Which decimal is equivalent to

\frac{2}{9}

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0.2

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0.29

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0.\overline{2}

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2.9

Which decimal is equivalent to

\frac{1}{7}

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0.\overline{17}

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0.17

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0.142857

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0.\overline{142857}

Which decimal is equivalent to

\frac{6}{11}

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6.11

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0.54

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0.611

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0.\overline{54}

Which fractions are equivalent to

0.\overline{63}

? Select all that apply.

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Multi-select Choices:

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\frac{7}{11}

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\frac{6}{11}

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\frac{63}{100}

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\frac{63}{99}

Which decimal is equivalent to

\frac{26}{99}

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0.\overline{2699}

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0.\overline{2}6

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0.\overline{26}

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0.2699

Which fractions are equivalent to

0.\overline{45}

? Select all that apply.

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Multi-select Choices:

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\frac{9}{20}

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\frac{5}{11}

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\frac{45}{99}

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\frac{45}{100}

Which decimal is equivalent to

\frac{5}{9}

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0.\overline{5}

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0.\overline{18}

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0.1\overline{8}

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0.\overline{9}

Which kinds of numbers are rational? Select all that apply.

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Multi-select Choices:

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(B) nonterminating, nonrepeating decimals

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(C) fractions of whole numbers

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(D) terminating decimals

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(E) nonterminating, repeating decimals

Which decimal is equivalent to

\frac{6}{11}

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0.54

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0.\overline{54}

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0.611

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6.11

Which lists contain only rational numbers? Select all that apply.

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Multi-select Choices:

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-6

-7

-9

-11

61

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\sqrt{6}

\sqrt{12}

\sqrt{18}

\sqrt{24}

\sqrt{30}

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-7

0

-7

1

-7

2

-7

3

-7

4

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-7

5

-7

6

-7

7

-7

8

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-7

9

-9

0

-9

1

-9

2

Which fractions are equivalent to

0.4\overline{8}

? Select all that apply.

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Multi-select Choices:

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\frac{48}{100}

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\frac{48}{99}

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\frac{44}{90}

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\frac{66}{135}

Which decimal is equivalent to

\frac{5}{9}

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0.1\overline{8}

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0.\overline{5}

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0.\overline{9}

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0.\overline{18}

Select all the numbers that are irrational.

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Multi-select Choices:

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0.\overline{34}

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\sqrt{34}

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3\sqrt{4}

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-\frac{3}{4}

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\sqrt{\frac{3}{4}}

Select all the numbers that are irrational.

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Multi-select Choices:

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\sqrt{39}

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\sqrt{36}

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\sqrt{55}

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\sqrt{40}

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\sqrt{49}

Which fractions are equivalent to

0.\overline{63}

? Select all that apply.

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Multi-select Choices:

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\frac{63}{99}

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\frac{7}{11}

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\frac{6}{11}

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\frac{63}{100}

Which lists contain only irrational numbers? Select all that apply.

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Multi-select Choices:

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-11.8, -7.3, -9.7, -3, 61.4

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\sqrt{20}, \sqrt{50}, \sqrt{35}, \sqrt{65}, \sqrt{70}

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\frac{21}{22}, \frac{3}{11}, \frac{1}{9}, -\frac{2}{5}, -\frac{1}{17}

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\sqrt{25}, \sqrt{81}, \sqrt{36}, \sqrt{144}, \sqrt{100}

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2\sqrt{2}, 5\sqrt{5}, 3\sqrt{3}, 6\sqrt{6}, 7\sqrt{7}

Select all the numbers that are rational.

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Multi-select Choices:

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\sqrt{18}

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-0.81

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0.\overline{18}

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-\sqrt{81}

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\frac{\sqrt{8}}{\sqrt{1}}

Select all the numbers that are rational.

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Multi-select Choices:

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0.\overline{6}

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-\frac{1}{3}

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\sqrt{3}

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1.8989

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2 \pi

Select all the numbers that are rational.

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Multi-select Choices:

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-\frac{1}{3}

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\sqrt{3}

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0.\overline{6}

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2 \pi

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1.8989

Which lists contain only irrational numbers? Select all that apply.

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Multi-select Choices:

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\sqrt{80}, \sqrt{90}, \sqrt{110}, \sqrt{120}, \sqrt{140}

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\sqrt{25}, \sqrt{64}, \sqrt{81}, \sqrt{49}, \sqrt{36}

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0.\overline{7}, 0.\overline{9}, 0.\overline{1}, 0.\overline{3}, 0.\overline{5}

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-7, -9, -11, -3, -5

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\sqrt{18}, \sqrt{14}, \sqrt{12}, \sqrt{24}, \sqrt{32}

Which fractions are equivalent to

0.1\overline{7}

? Select all that apply.

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Multi-select Choices:

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\frac{16}{90}

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\frac{17}{100}

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\frac{8}{45}

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\frac{177}{1,000}

Select all the numbers that are irrational.

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Multi-select Choices:

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\sqrt{\frac{3}{4}}

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3\sqrt{4}

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-\frac{3}{4}

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0.\overline{34}

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\sqrt{34}

Select the expressions that are equivalent to

4(4 n+1)+5 n

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\begin{array}{c} 9 n+4 \\ (4 n+1) 4+5 n \\ 1(4 n+4)+5 n \\ 4 n+21 \end{array}

c

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\begin{array}{l} c--488=742 \\ c= \end{array}

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5

\{1024 \div(-32)\}+\{(-125) \div 5\}

\begin{array}{l} A=235 \mathrm{~cm}^{2} \\ 235 \mathrm{~cm}^{2} \end{array}

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Find the scale factor for each pair of similar figures

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11

) two triangles with areas

98 \mathrm{~m}^{2}

200 \mathrm{~m}^{2}

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12

) two trapezoids with areas

90 \mathrm{~m}^{2}

10 \mathrm{~m}^{2}

6 \begin{aligned} 17 \mathrm{~cm} \quad 0565=9 / 17 \\ \cos 65=\frac{17}{6} \\ .4226=\frac{17}{6}\end{aligned}

\begin{array}{r}3 x+7 y=27 \\ 5 x+2 y=16\end{array}

\begin{array}{l}(2) \sqrt{\sqrt{2 b-1}+\sqrt{5}=2} \\ \sqrt{2 b-1}=2 \sqrt{b}\end{array}

Determine the unknown angle measures.

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14

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\begin{array}{l} \angle x \\ \angle y \\ \angle z \end{array}

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\angle z

What are possible values of

p

q

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\begin{array}{l} p=0,2 \\ q=4 \end{array}

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Match each expression to the range in which the val

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7

8

8

9

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\begin{array}{l} \sqrt{80} \\ \sqrt{85} \\ \sqrt{90} \end{array}

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Select all of the expressions that are equivalent to the following expression.

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\begin{array}{l} \left(2^{3}\right)^{-2} \cdot 2^{4} 9^{-2}: 2^{4} \\ \frac{1}{2^{2}} \\ 2^{5} \\ 2^{-2} \end{array}

5

45

15

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Solve the triangle.

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Write each answer as an integer or as a decimal rounded to the nearest tenth.

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\begin{aligned} u & =\square \\ v & =\square \angle \\ m \angle V & =\square \text {. } \end{aligned}

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1

. Fungsi Tujuan: Meminimumkan

C=3 \times 1+4 \times 2

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Fungsi Batasan :

1

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\begin{array}{l} \text { 2). } X 1+3 X 2 \geq 9.000 \\ X 1 \geq 0, X 2 \geq 0 \\ \end{array}

in the space prov

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\begin{array}{l} 3 \sqrt{8}-\sqrt{18} \\ 3 \sqrt{8}-3 \sqrt{3} \end{array}

\begin{array}{l}9 x-9 y=-18 \\ 10 x-9 y=-15\end{array}

Solve the equation.

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\begin{array}{l} 40=\frac{x}{0.3} \\ x=\square \end{array}

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\begin{array}{l} 12 m+35=11 \\ 5 k-60=-40 \end{array}

Find p using Landry's Method.

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\begin{array}{l} 6(p+p+11)=162 \\ \frac{6(p+p+11)}{6}=\frac{162}{6} \end{array}

98

63 \%

less than what number?

4

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\begin{array}{l} b=30 \mathrm{~m} \\ h=15.6 \mathrm{~m} \end{array}