Resources

Resources

Checkpoint: Rational and irrational numbers

4

4

4

4

4

\dfrac{2p + 1}{5p + 6} = \dfrac{1}{7}

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

Which decimal is equivalent to

\frac{1}{6}

\newline

\newline

0.1616

\newline

0.1\overline{6}

\newline

0.16

\newline

0.\overline{16}

Select all the numbers that are irrational.

\newline

Multi-select Choices:

\newline

\sqrt{2}

\newline

\sqrt{3}

\newline

\sqrt{5}

\newline

\sqrt{4}

\newline

\sqrt{6}

Select all the numbers that are irrational.

\newline

Multi-select Choices:

\newline

-\frac{3}{4}

\newline

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

\newline

0.\overline{34}

\newline

3\sqrt{4}

\newline

\sqrt{34}

Which decimal is equivalent to

\frac{2}{7}

\newline

\newline

0.285714

\newline

0.\overline{285714}

\newline

0.\overline{27}

\newline

0.27

Which fractions are equivalent to

0.\overline{45}

? Select all that apply.

\newline

Multi-select Choices:

\newline

\frac{9}{20}

\newline

\frac{45}{100}

\newline

\frac{45}{99}

\newline

\frac{5}{11}

Which decimal is equivalent to

\frac{5}{9}

\newline

\newline

0.\overline{5}

\newline

0.\overline{9}

\newline

0.1\overline{8}

\newline

0.\overline{18}

Select all the numbers that are irrational.

\newline

Multi-select Choices:

\newline

-\frac{6}{7}

\newline

4\sqrt{5}

\newline

0.333

\newline

0.\overline{7}

\newline

-6.11

Which fractions are equivalent to

0.1\overline{7}

? Select all that apply.

\newline

Multi-select Choices:

\newline

\frac{177}{1,000}

\newline

\frac{16}{90}

\newline

\frac{8}{45}

\newline

\frac{17}{100}

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

\newline

Multi-select Choices:

\newline

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

\newline

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

\newline

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

\newline

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

\newline

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

Which decimal is equivalent to

\frac{5}{9}

\newline

\newline

0.1\overline{8}

\newline

0.\overline{5}

\newline

0.\overline{9}

\newline

0.\overline{18}

Select all the numbers that are rational.

\newline

Multi-select Choices:

\newline

-\frac{1}{3}

\newline

\sqrt{3}

\newline

0.\overline{6}

\newline

2 \pi

\newline

1.8989

Select all the numbers that are rational.

\newline

Multi-select Choices:

\newline

0.\overline{6}

\newline

-\frac{1}{3}

\newline

\sqrt{3}

\newline

1.8989

\newline

2 \pi

Select all the numbers that are rational.

\newline

Multi-select Choices:

\newline

\sqrt{18}

\newline

-0.81

\newline

0.\overline{18}

\newline

-\sqrt{81}

\newline

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

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

\newline

Multi-select Choices:

\newline

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

\newline

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

\newline

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

\newline

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

\newline

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

Which fractions are equivalent to

0.\overline{63}

? Select all that apply.

\newline

Multi-select Choices:

\newline

\frac{63}{99}

\newline

\frac{7}{11}

\newline

\frac{6}{11}

\newline

\frac{63}{100}

Select all the numbers that are irrational.

\newline

Multi-select Choices:

\newline

\sqrt{39}

\newline

\sqrt{36}

\newline

\sqrt{55}

\newline

\sqrt{40}

\newline

\sqrt{49}

Select all the numbers that are irrational.

\newline

Multi-select Choices:

\newline

0.\overline{34}

\newline

\sqrt{34}

\newline

3\sqrt{4}

\newline

-\frac{3}{4}

\newline

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

Which decimal is equivalent to

\frac{1}{7}

\newline

\newline

0.\overline{17}

\newline

0.17

\newline

0.142857

\newline

0.\overline{142857}

Which fractions are equivalent to

0.1\overline{7}

? Select all that apply.

\newline

Multi-select Choices:

\newline

\frac{16}{90}

\newline

\frac{17}{100}

\newline

\frac{8}{45}

\newline

\frac{177}{1,000}

Which decimal is equivalent to

\frac{2}{9}

\newline

\newline

0.2

\newline

0.29

\newline

0.\overline{2}

\newline

2.9

Select all the numbers that are irrational.

\newline

Multi-select Choices:

\newline

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

\newline

3\sqrt{4}

\newline

-\frac{3}{4}

\newline

0.\overline{34}

\newline

\sqrt{34}

Which decimal is equivalent to

\frac{6}{11}

\newline

\newline

0.54

\newline

0.\overline{54}

\newline

0.611

\newline

6.11

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

\newline

Multi-select Choices:

\newline

-6

-7

-9

-11

61

\newline

\sqrt{6}

\sqrt{12}

\sqrt{18}

\sqrt{24}

\sqrt{30}

\newline

-7

0

-7

1

-7

2

-7

3

-7

4

\newline

-7

5

-7

6

-7

7

-7

8

\newline

-7

9

-9

0

-9

1

-9

2

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

\newline

Multi-select Choices:

\newline

\newline

(B) nonterminating, nonrepeating decimals

\newline

(C) fractions of whole numbers

\newline

(D) terminating decimals

\newline

(E) nonterminating, repeating decimals

Which decimal is equivalent to

\frac{5}{9}

\newline

\newline

0.\overline{5}

\newline

0.\overline{18}

\newline

0.1\overline{8}

\newline

0.\overline{9}

Which fractions are equivalent to

0.\overline{45}

? Select all that apply.

\newline

Multi-select Choices:

\newline

\frac{9}{20}

\newline

\frac{5}{11}

\newline

\frac{45}{99}

\newline

\frac{45}{100}

Which decimal is equivalent to

\frac{26}{99}

\newline

\newline

0.\overline{2699}

\newline

0.\overline{2}6

\newline

0.\overline{26}

\newline

0.2699

Which fractions are equivalent to

0.\overline{63}

? Select all that apply.

\newline

Multi-select Choices:

\newline

\frac{7}{11}

\newline

\frac{6}{11}

\newline

\frac{63}{100}

\newline

\frac{63}{99}

Which fractions are equivalent to

0.4\overline{8}

? Select all that apply.

\newline

Multi-select Choices:

\newline

\frac{48}{100}

\newline

\frac{48}{99}

\newline

\frac{44}{90}

\newline

\frac{66}{135}

Which decimal is equivalent to

\frac{6}{11}

\newline

\newline

6.11

\newline

0.54

\newline

0.611

\newline

0.\overline{54}

c

\newline

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

\newline

Find p using Landry's Method.

\newline

\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?

\newline

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

y=\dfrac{3}{7}x-\dfrac{12}{7}

y=\dfrac{3}{7}x-\dfrac{12}{7}

Which of the following is a whole number?

\newline

\newline

7.555

\newline

\sqrt{7}

\newline

2.94

\newline

10

In the data set below,

\newline

11,11,36,41,42,47,49

\newline

What is the median?

(x,y)

is a solution to the system of equations shown, what is the product of the y-coordinates of the solutions?

\newline

x^{2}+y^{2}=9

\newline

x+y=3

How many solutions does the system of equations below have?

\newline

\begin{array}{l} -10 y-2=-5 x \\ 14 y+6=2 x \end{array}

\newline

(A) no solution

\newline

(B) one solution

\newline

(C) infinitely many solutions

Solve the equation. Check your solution.

-3(4y+2)-12=-8(y+4)+4y

Solve the equation. Check your solution.

-3p+3=12

Solve the equation. Check your solution.

\newline

-3 p+3=12

\newline

The solution set is

\_\_\_\_\_

Which of the following sets of numbers could not represent the three sides of a triangle?

\newline

\{6,20,24\}

\newline

\{6,9,13\}

\newline

\{10,25,36\}

\newline

\{11,23,33\}

Which of the following sets of numbers could represent the three sides of a triangle?

\newline

\{9,11,20\}

\newline

\{13,15,28\}

\newline

\{15,29,43\}

\newline

\{9,21,30\}

Which of the following sets of numbers could not represent the three sides of a triangle?

\newline

\{11,14,24\}

\newline

\{12,21,33\}

\newline

\{15,25,39\}

\newline

\{10,22,31\}

Which of the following sets of numbers could not represent the three sides of a triangle?

\newline

\{14,27,40\}

\newline

\{4,9,14\}

\newline

\{9,21,29\}

\newline

\{12,17,28\}