Free Printable Alg 2 Joiner

1.

The Index in the radical expression is the number

a)

3

b)

8

c)

1

d)

0

2.

The radicand in the radical expression is the number ___

a)

3

b)

8

c)

1

d)

0

3.

The fifth root of six hundred and twenty-five to the sixth power, written as a fraction numerically, is:

a)

625^6/5

b)

625^5/6

c)

5^6/625

d)

6^5/625

4.

The exponent in the radical expression is the number ___

a)

3

b)

8

c)

1

d)

0

5.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

6.

If the index is not written in a radical problem, it is automatically what value?

a)

0

b)

1

c)

2

d)

it does not exist

7.

If an exponent is not written, what is automatically the power?

a)

0

b)

1

c)

2

d)

there is no power

8.

The Index in the radical expression is the number

a)

3

b)

8

c)

1

d)

0

9.

The radicand in the radical expression is the number ___

a)

3

b)

8

c)

1

d)

0

10.

The exponent in the radical expression is the number ___

a)

3

b)

8

c)

1

d)

0

11.

What was this symbol called?

\sqrt{ }

a)

Index Symbol

b)

Radical Symbol

c)

Radicand Symbol

d)

Exponent Symbol

12.

What was this symbol called?

\sqrt{ }

a)

Index Symbol

b)

Radical Symbol

c)

Radicand Symbol

d)

Exponent Symbol

13.

The number written in the v part of the radical symbol, just above the radical symbol ( the "n" part in the video) is called the _____ in the video (Hint: It was locate on the left side of the radical symbol at the 19 second mark in the video).

a)

Index Symbol

b)

Radical Symbol

c)

Radicand Symbol

d)

Exponent Symbol

14.

Any number ("a" in the video) written under the radical symbol is called the ____

a)

Index

b)

Radical Symbol

c)

Radicand

d)

Exponent

15.

The ____ is which root we're taking.

a)

Index

b)

Radical Symbol

c)

Radicand

d)

Exponent

16.

If no index is showing we assume the index number is always the number _____.

a)

1

b)

2

c)

3

d)

4

17.

In the expression $\sqrt{36}$ , the number 36 is the _____ in the video.

a)

Radical Aymbol

b)

Radicand

c)

Index

d)

Expoenent

18.

Which expressions is the opposite of the 4th root of 81 squared? (Refer to the video we watched in class).

a)

$x^{4\ }=\ 81$

b)

$x^{81\ }=\ 4$

c)

$\sqrt{81}$

d)

None of the aabove

19.

In the expression, the fourth root of 81, the 4 in the video is the _____

a)

Index

b)

Rdicand

c)

Expoenent

d)

None of the above

20.

In the expression, the 4th root of 81, the exponent on the radicand is (a)

21.

In the expression the cub root of 27, the the denominator for the fractional exponent is (a) .

22.

In the expression, the 4th root of 81, in order to get the answer 3, they multiplied the three (the answer) how many times to get the radicand (81)?

a)

1

b)

4

c)

81

d)

3

23.

$\sqrt{25}$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

24.

$\sqrt{20}$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

25.

$\pi$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

26.

$\frac{15}{3}$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

27.

$0$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

28.

$\frac{1}{3}$

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

29.

6.313131313

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

30.

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

31.

Square roots of perfect squares are always _____ numbers.

a)

irrational

b)

rational

32.

Square roots of non - perfect squares are always _____ numbers.

a)

irrational

b)

rational

33.

Rational and irrational numbers are both part of the set of _____ numbers.

a)

real

b)

natural

34.

Rational numbers include any number that can be written as a ratio (or _______).

a)

fraction

b)

square root

c)

real number

35.

Repeating decimals are _____ numbers.

a)

irrational

b)

rational

36.

$\sqrt{16}$ is included in the set of _______ because it simplifies to 4.

a)

irrational numbers

b)

whole number

37.

-1.4 is not included in the set of ______ because it has a decimal (or fractional) part.

a)

rational numbers

b)

integers

c)

real numbers

38.

Check all subsets that -7 belongs to.

a)

Irrational

b)

Rational

c)

Integers

d)

Whole

e)

Natural

39.

Check all subsets the number belongs to:

\sqrt{25}

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

40.

Check all subsets the number belongs to:

-4\pi

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

41.

Check all subsets the number belongs to:

62\%

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

42.

Check all subsets the number belongs to:

\frac{\pi}{2}

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

43.

Check all subsets the number belongs to:

2.7

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

44.

Check all subsets the number belongs to:

-\frac{2}{5}

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

45.

Check all subsets the number belongs to:

0

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

46.

Check all subsets the number belongs to:

\sqrt{12}

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

47.

Check all subsets the number belongs to:

3.0

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

48.

Check all subsets that -7 belongs to.

a)

Irrational

b)

Rational

c)

Integers

d)

Whole

e)

Natural

49.

Check all subsets the number belongs to:

\sqrt{25}

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

50.

Check all subsets the number belongs to:

-4\pi

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

51.

Check all subsets the number belongs to:

62\%

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

52.

Check all subsets the number belongs to:

\frac{\pi}{2}

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

53.

Check all subsets the number belongs to:

2.7

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

54.

Check all subsets the number belongs to:

-\frac{2}{5}

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

55.

Check all subsets the number belongs to:

0

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

56.

Check all subsets the number belongs to:

\sqrt{12}

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

57.

Check all subsets the number belongs to:

3.0

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

58.

Match the following:

a)

$\frac{2}{3}$

1.

Rational

b)

$\sqrt[]{19}$

2.

Irrational

c)

0

3.

Whole

d)

-2

4.

Integer

59.

Match the following:

a)

$\overline{0.7}$

1.

Rational

b)

$\sqrt[]{21}$

2.

Irrational

c)

628

3.

Whole

d)

-17

4.

Integer

60.

Match the following:

a)

$0.14$

1.

Rational

b)

$\sqrt[]{14}$

2.

Irrational

c)

14

3.

Whole

d)

-14

4.

Integer

61.

Match the following:

a)

$\sqrt[]{0.25}$

1.

Rational

b)

$\sqrt[]{26}$

2.

Irrational

c)

$\sqrt[]{25}$

3.

Whole

d)

$-\ \sqrt[]{25}$

4.

Integer

62.

Match the following:

a)

$\frac{3\pi}{4\pi}$

1.

Rational

b)

$\pi^2$

2.

Irrational

c)

$\pi-\pi$

3.

Whole

d)

$\frac{-2\pi}{\pi}$

4.

Integer

63.

Match the following:

a)

2.2

1.

Rational

b)

$\sqrt[]{2}$

2.

Irrational

c)

$2^2$

3.

Whole

d)

$\left(-2\right)^3$

4.

Integer

64.

Match the following:

a)

$\frac{22}{7}$

1.

Rational

b)

3.141592........

2.

Irrational

c)

3

3.

Whole

d)

-314

4.

Integer

65.

Match the following:

a)

$\frac{2}{7}$

1.

Rational

b)

$\sqrt[]{221}$

2.

Irrational

c)

$\sqrt[]{121}$

3.

Whole

d)

-12

4.

Integer

66.

Select all the number sets that each value belongs to.

$\sqrt[]{30}$

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

67.

Select all the number sets that each value belongs to.

$\frac{45}{5}$

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

68.

Select all the number sets that each value belongs to.

$-\ \sqrt[]{64}$

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

69.

Select all the number sets that each value belongs to.

$50.75$

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

70.

Check all subsets the number belongs to:

$\frac{\pi}{2}$

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

71.

Check all subsets the number belongs to:

$0$

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

72.

Classify the following number:

\frac{13}{5}

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

73.

Classify the following number:

16

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

74.

Classify the following number:

-8.25

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

75.

Classify the following number:

-\sqrt{64}

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

76.

Which of the following is an irrational number?

a)

b)

c)

d)

77.

Which of the following are rational numbers?

a)

b)

c)

d)

78.

Click on all irrational numbers.

a)

b)

c)

d)

79.

Click on all irrational numbers.

a)

b)

c)

d)

80.

Which kind of decimals are irrational?

a)

Those that terminate.

b)

Those that repeat a pattern.

c)

Those that never end.

d)

Those that never end and have no pattern.

81.

A rational number...

a)

can be positive or negative

b)

can be a decimal

c)

can be expressed as a ratio

d)

All the above

82.

Estimate

a)

7.1

b)

7.9

c)

6.1

d)

6.9

83.

Estimate the square root of 224.

a)

15.1

b)

15.5

c)

15.0

d)

14.9

84.

Estimate the square of this non-square number.

a)

10.1

b)

11.1

c)

10.5

d)

11.5

85.

Estimate this irrational number.

a)

5.5

b)

5.9

c)

4.5

d)

6.1

86.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

87.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

88.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

89.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

90.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

91.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

92.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

93.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

94.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

95.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

96.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

97.

Determine which is perfect square?

a)

54

b)

36

c)

21

d)

43

98.

$9^2=18$ True or false?

a)

True

b)

False

99.

$\sqrt{-144}$

a)

12

b)

-12

c)

72

d)

none of the above (imaginary number)

100.

Choose which is perfect square?

(Have 2 answers)

a)

514

b)

225

c)

908

d)

576

101.

$-6^2$ = ?

a)

36

b)

-36

c)

12

d)

-12

102.

$32^2-13^2$

a)

855

b)

456

c)

988

d)

856

103.

$\left(-\frac{5}{6}\right)^3$

a)

$\frac{25}{36}$

b)

$\frac{125}{216}$

c)

$-\frac{36}{25}$

d)

$\frac{36}{25}$

104.

estimate a square root of a number $\sqrt{54}$

a)

$=7$

b)

$\approx7$

c)

$\ne7$

d)

$\cong7$

105.

Which of the following is irrational?

a)

$\sqrt{49}$

b)

$\sqrt{50}$

c)

$\sqrt{81}$

d)

$\sqrt{121}$

106.

$^3\sqrt{64}=$

a)

-8

b)

8

c)

16

d)

4

107.

$^3\sqrt{-64}=$

a)

-8

b)

8

c)

-4

d)

4

108.

$\sqrt{\frac{16}{81}}$ =

a)

4/9

b)

8/27

c)

8/9

d)

4/3

109.

$\sqrt{0.81}=$

a)

0.9

b)

0.27

c)

0.09

d)

0.3

110.

Write an equation for this phrase, "The square root of x is equal to 3."

a)

x² = 3

b)

x² = 9

c)

√x = 3

d)

√x = 9

111.

Solve for p when p² = 100.

a)

1,000

b)

10

c)

0.10

d)

-0.10

112.

Write an equation for this phrase, "2 cubed is equal to the square root of x."

a)

2³ = √x

b)

2² = √x

c)

4 = √16

d)

√x = 2

113.

73²+ 21=

a)

5850

b)

5350

c)

9843

d)

1243

114.

Given the volume, find the length of each side of the cube.

a)

16

b)

16 ft

c)

18

d)

18 ft

115.

In an epidemic, the number of patients suffering the disease increases according to the power of three of the day, where $1^3$ patients on the first day, $2^3$ patients on the second day, $3^3$ patients on the third day and so on.

What is the total of patients suffering the disease after 5 days?

(a)

116.

Approximate the square root to the tenths place: √52

a)

7.2

b)

7.3

c)

7.1

d)

7.5

117.

A _____________ is a statement that tells you two expressions are equivalent.

a)

expression

b)

equation

c)

solution

d)

exponent

118.

Which of the following are examples of perfect squares?

a)

4

b)

6

c)

9

d)

25

119.

27 is a perfect cube

a)

true

b)

false

120.

The inverse operation for SQUARING a number is finding the CUBE root?

a)

true

b)

false

121.

$\sqrt{36}=$

a)

4

b)

9

c)

6

d)

12

122.

The volume of a cube is found by _________

a)

$A=l\times w$

b)

$V=s^3$

c)

$A=\frac{1}{2}\times b\times h$

123.

100 is a ____________

a)

Perfect Square

b)

Perfect Cube

c)

Both

d)

Neither

124.

$3\sqrt{64}=$

a)

8

b)

5

c)

4

d)

12

125.

Select all the PERFECT SQUARES

a)

10

b)

144

c)

9

d)

8

126.

Select all the PERFECT CUBES

a)

8

b)

2

c)

125

d)

27

127.

The area of a square is 16 square feet. What is the length of a side of the square?

a)

8 feet

b)

16 feet

c)

2 feet

d)

4 feet

128.

$x^2=100.\ \ What\ does\ x=?$

a)

0

b)

90

c)

1

d)

10

129.

$x^3=1,000.\ \ What\ does\ x=?$

a)

1

b)

100

c)

10

d)

0

130.

Squaring a number means multiplying a number by itself.

a)

True

b)

False

131.

Cubing a number means multiplying a number by itself 3 times.

a)

True

b)

False

Alg 2 Joiner - WARMUP 1.20.23

Total questions: 131

Worksheet time: 2hrs 39mins

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