Quiz about GR8_U8A_AI_Gen040824

Question 1

What is 5 squared?

Accepted Answer

25

Answer

10

Answer

15

Answer

30

Question 2

What is 5 cubed?

Accepted Answer

125

Answer

15

Answer

25

Answer

75

Question 3

Which of the following is a perfect cube?

Accepted Answer

64

Answer

50

Answer

33

Answer

100

Question 4

What is the square root of 36?

Accepted Answer

6

Answer

9

Answer

12

Answer

18

Question 5

What is the cube root of 64?

Accepted Answer

4

Answer

3

Answer

6

Answer

8

Question 6

Which of the following numbers is a perfect square?

Accepted Answer

81

Answer

50

Answer

72

Answer

99

Question 7

What can you evaluate when given a perfect square or perfect cube number according to Lesson 1?

Accepted Answer

The square root and cube root

Answer

The logarithm

Answer

The derivative

Answer

The integral

Question 8

According to Lesson 2, what does PEMDAS relate to?

Accepted Answer

Radicals and exponents

Answer

Square roots and cube roots

Answer

Fractions and decimals

Answer

Real numbers and number lines

Question 9

What is the focus of Lesson 3 in terms of number conversion?

Accepted Answer

Between fraction and decimal notation

Answer

Between real numbers and integers

Answer

Between rational and irrational numbers

Answer

Between positive and negative numbers

Question 10

What does Lesson 4 teach about imperfect square roots?

Accepted Answer

How to approximate their value

Answer

How to find their exact value

Answer

How to convert them to fractions

Answer

How to classify them in the real-number system

Question 11

What is the objective of Lesson 5 regarding the real-number system?

Accepted Answer

To classify numbers within the system

Answer

To order real numbers on a number line

Answer

To find solutions for perfect square roots

Answer

To apply properties of radicals

Question 12

What does Lesson 6 aim to teach about real numbers?

Accepted Answer

How to order and compare them using a number line and inequality symbols

Answer

How to approximate their value

Answer

How to classify them within the real-number system

Answer

How to find their exact square roots

Question 13

Why are there two solutions for every perfect square root according to Lesson 7?

Accepted Answer

Because every number has a positive and negative square root

Answer

Because square roots can be both rational and irrational

Answer

Because square roots can be both real and imaginary

Answer

Because square roots can be both whole numbers and fractions

Question 14

Roots are the _________ result of applying exponents.

Accepted Answer

inverse

Answer

direct

Answer

complex

Answer

square

Question 15

The symbol used to represent roots is called a _________.

Accepted Answer

radical

Answer

radicand

Answer

index

Answer

base

Question 16

The number inside the radical is called a _________.

Accepted Answer

radicand

Answer

radical

Answer

index

Answer

base

Question 17

The small number inside the radical is called the _________.

Accepted Answer

index

Answer

radical

Answer

radicand

Answer

base

Question 18

Taking the square root is the ______ of squaring a number.

Accepted Answer

opposite

Answer

equivalent

Answer

process

Answer

result

Question 19

In most cases, the index for a square root will be left ______.

Accepted Answer

blank

Answer

one

Answer

two

Answer

visible

Question 20

A number such as 16 is called a ______ ______ because its square root is a whole number.

Accepted Answer

perfect square

Answer

complete number

Answer

total integer

Answer

full digit

Question 21

When looking for a square root, we want to ask ourselves, "what number multiplied by itself will give me the radicand?"

Accepted Answer

True

Answer

False

Question 22

Taking the cube root is the __________ of cubing a number or raising a base to the power of __________.

Accepted Answer

opposite, three

Answer

equivalent, two

Answer

process, four

Answer

result, six

Question 23

Cube roots are indicated by an index of __________.

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 24

When looking for a cube root, we want to ask ourselves, "what number __________ will give me the radicand?"

Accepted Answer

multiplied by itself three times

Answer

added to itself three times

Answer

subtracted from itself three times

Answer

divided by itself three times

Question 25

What is the cube root of 343?

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 26

What is the cube root of -8?

Accepted Answer

-2

Answer

-1

Answer

2

Answer

-3

Question 27

What is the square root of 144?

Accepted Answer

12

Answer

10

Answer

11

Answer

13

Question 28

What is the cube root of 729?

Accepted Answer

9

Answer

6

Answer

8

Answer

10

Question 29

What is the square root of 256?

Accepted Answer

16

Answer

14

Answer

15

Answer

17

Question 30

What is the cube root of 1331?

Accepted Answer

11

Answer

9

Answer

10

Answer

12

Question 31

What is the square root of 81?

Accepted Answer

9

Answer

7

Answer

8

Answer

10

Question 32

What is the cube root of 1000?

Accepted Answer

10

Answer

8

Answer

9

Answer

11

Question 33

When simplifying expressions with radicals, which of the following is the correct order of operations?

Accepted Answer

C) Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Answer

A) Addition, Subtraction, Multiplication, Division

Answer

B) Multiplication, Division, Addition, Subtraction

Answer

D) Exponents, Parentheses, Addition/Subtraction, Multiplication/Division

Question 34

What is the simplified form of the expression $-\sqrt[3]{27}$?

Accepted Answer

-3

Answer

3

Answer

-9

Answer

9

Question 35

What is the simplified form of the expression $3 - \sqrt[3]{8}$?

Accepted Answer

2

Answer

1

Answer

5

Answer

3

Question 36

What is the simplified form of the expression $2\sqrt[3]{16}$?

Accepted Answer

8

Answer

4

Answer

2

Answer

16

Question 37

What is the simplified form of the expression $\sqrt[3]{1 + 15}$?

Accepted Answer

3

Answer

2

Answer

4

Answer

16

Question 38

What is the simplified form of the expression $-\sqrt[3]{-64}$?

Accepted Answer

-4

Answer

4

Answer

-8

Answer

8

Question 39

What is the simplified form of the expression $\sqrt[3]{\sqrt{72}}$?

Accepted Answer

\sqrt[6]{72}

Answer

\sqrt[3]{6}

Answer

\sqrt[3]{9}

Answer

\sqrt[3]{8}

Question 40

What is the simplified form of the expression $\sqrt[3]{\sqrt[3]{3}}$?

Accepted Answer

\sqrt[9]{3}

Answer

\sqrt[6]{3}

Answer

1

Answer

3

Question 41

What is the simplified form of the expression $\sqrt{\sqrt[3]{2}}$?

Accepted Answer

\sqrt[6]{2}

Answer

\sqrt[4]{2}

Answer

\sqrt[3]{4}

Answer

\sqrt[2]{3}

Question 42

What is the simplified form of the expression $\sqrt[3]{\sqrt[5]{3}}$?

Accepted Answer

\sqrt[15]{3}

Answer

\sqrt[8]{3}

Answer

\sqrt[10]{3}

Answer

\sqrt[5]{3}

Question 43

What is the simplified form of the expression $\sqrt{\sqrt[3]{152}}$?

Accepted Answer

\sqrt[6]{152}

Answer

\sqrt[4]{152}

Answer

\sqrt[3]{152}

Answer

\sqrt[2]{152}

Question 44

What is the cube root of 216?

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 45

What is the square root of 36?

Accepted Answer

6

Answer

4

Answer

5

Answer

7

Question 46

What is the cube root of 125?

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 47

What is the square root of 100?

Accepted Answer

10

Answer

8

Answer

9

Answer

11

Question 48

What is the square root of 25?

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 49

What is the cube root of 1,331?

Accepted Answer

11

Answer

9

Answer

10

Answer

12

Question 50

What is the cube root of 27?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 51

What is the square root of 169?

Accepted Answer

13

Answer

11

Answer

12

Answer

14

Question 52

What is the square root of 4?

Accepted Answer

2

Answer

3

Answer

4

Answer

5

Question 53

What is the cube root of 8?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 54

What is the square root of 7?

Accepted Answer

2.64575131

Answer

2.65

Answer

2.75

Answer

2.645

Question 55

What is the cube root of 5?

Accepted Answer

1.70997595

Answer

1.71

Answer

1.72

Answer

1.73

Question 56

What is the cube root of 1?

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 57

What is the square root of q?

Accepted Answer

p

Answer

q

Answer

r

Answer

s

Question 58

What is the square root of 12?

Accepted Answer

3.46410162

Answer

3.46

Answer

3.47

Answer

3.48

Question 59

What is the cube root of 7?

Accepted Answer

1.91293118

Answer

1.91

Answer

1.92

Answer

1.93

Question 60

How much money is one quarter worth?

Accepted Answer

25 cents

Answer

10 cents

Answer

50 cents

Answer

1 dollar

Question 61

How many quarters are in $1?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 62

How many total cents are in $1?

Accepted Answer

100

Answer

50

Answer

150

Answer

200

Question 63

What is 1/4 as a decimal?

Accepted Answer

0.25

Answer

0.5

Answer

0.75

Answer

1.0

Question 64

What is 1/2 as a decimal?

Accepted Answer

0.5

Answer

0.2

Answer

0.8

Answer

1.0

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