Deck 9: Quadratic Equations

Question 1

Find all square roots of the number

-64

A) 16, -16
B) 10, -10
C) 8, -8
D) 9, -9

Answer 1

8, -8

Question 2

Find all square roots of the number

-

A) , -
B) , -
C) , -
D)

Answer 2

, -

Question 3

Find all square roots of the number

-1225

A) 35, -35
B) 37, -37
C) 70, -70
D) 36, -36

Answer 3

35, -35

Question 4

Find all square roots of the number

-100

A) 1, -1
B) 11, -11
C) 9, -9
D) 10, -10

Question 5

Find the square root.

-

A) 5
B) 8
C) Not a real number
D) 4

Question 6

Find the square root.

-

A)
B)
C)
D)

Question 7

Find the square root.

--

A) -128
B) -16
C) 16
D) Not a real number

Question 8

Find the square root.

--

A) -
B) -
C)
D) Not a real number

Question 9

Find the square root.

-

A) -15
B) Not a real number
C) 15
D) 112

Question 10

Find the square root.

-

A)
B) -
C) Not a real number
D) -

Question 11

Find the square of the radical expression.

-

A) 49
B) 14
C)
D) 7

Question 12

Find the square of the radical expression.

--

A) -3
B) 9
C) 3
D) -9

Question 13

Find the square of the radical expression.

-

A) 9x + 4
B) 3x + 4
C) 9x + 16
D) 9x² + 16

Question 14

Find the square of the radical expression.

-

A) 8.5
B) 144
C) 72
D) 36

Question 15

Find the square of the radical expression.

-

A)
B)
C)
D) -

Question 16

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.

-

A) Irrational, 4.500
B) Not a real number
C) Rational, 4.500
D) Rational, 3

Question 17

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.

--

A) Irrational, -9.000
B) Not a real number
C) Rational, -9
D) Irrational, -40.500

Question 18

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.

-

A) Rational, -10
B) Irrational, -50.000
C) Not a real number
D) Irrational, -10.000

Question 19

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.

-

A) Not a real number
B) Rational, 11.489
C) Irrational, 11.489
D) Irrational, 66.000

Question 20

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.

--

A) Rational, -11.790
B) Irrational, -11.790
C) Irrational, 11.790
D) Not a real number

Question 21

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.

-

A) Rational, -10.198
B) Irrational, -10.198
C) Irrational, 10.198
D) Not a real number

Question 22

Find the length of the unknown side of a right triangle with legs a and b and hypotenuse c. Round to the nearest thousandth, if necessary.

-a = 6, b = 8

A) c = 9
B) c = 7
C) c = 10
D) c = 5

Question 23

Find the length of the unknown side of a right triangle with legs a and b and hypotenuse c. Round to the nearest thousandth, if necessary.

-a = 6, c = 10

A) b = 8
B) b = 10
C) b = 9
D) b = 7

Question 24

Find the length of the unknown side of a right triangle with legs a and b and hypotenuse c. Round to the nearest thousandth, if necessary.

-a = 20, c = 52

A) b = 56
B) b = 36
C) b = 48
D) b = 49

Question 25

Find the length of the unknown side of a right triangle with legs a and b and hypotenuse c. Round to the nearest thousandth, if necessary.

-a = 10, b = 24

A) c = 26
B) c = 18
C) c = 22
D) c = 25

Question 26

Find the length of the unknown side of a right triangle with legs a and b and hypotenuse c. Round to the nearest thousandth, if necessary.

-a = 4, b = 5

A) c = 6.403
B) c = 20
C) c = 4.243
D) c = 9

Question 27

Find the length of the unknown side of a right triangle with legs a and b and hypotenuse c. Round to the nearest thousandth, if necessary.

-b = 19, c = 24

A) a = 14.318
B) a = 557
C) a = 14.663
D) a = 30.61

Question 28

Solve the problem. Give the answer to the nearest thousandth if necessary.

-A long-distance runner runs 2 miles south and then 10 miles east. How far is the runner from the starting point?

A) 10.198 mi
B) 11.198 mi
C) 4.899 mi
D) 12 mi

Question 29

Solve the problem. Give the answer to the nearest thousandth if necessary.

-The diagram below shows the side view of a plan for a slanted roof. Find the unknown length in this roof plan.

A) 4 ft
B) 8 ft
C) 7.325 ft
D) 6.325 ft

Question 30

Solve the problem. Give the answer to the nearest thousandth if necessary.

-A boat travels 8 miles south and then 10 miles east. How far is the boat from its starting point?

A) 6.403 mi
B) 12.806 mi
C) 9 mi
D) 82 mi

Question 31

Solve the problem. Give the answer to the nearest thousandth if necessary.

-The diagram below shows a rope connecting the top of a pole to the ground. The rope is 28 yd long and touches the ground 24 yd from the pole. How tall is the pole?

A) 7.211 yd
B) 104 yd
C) 26 yd
D) 14.422 yd

Question 32

Solve the problem. Give the answer to the nearest thousandth if necessary.

-A painter leans a ladder against one wall of a house (as shown below). The ladder is 28 ft long. The base of the ladder is 25 ft from the house. How high is the wall?

A) 26.5 ft
B) 79.5 ft
C) 6.305 ft
D) 12.61 ft

Question 33

Solve the problem. Give the answer to the nearest thousandth if necessary.

-Below is a diagram of a water slide. The slide is 30 ft long. The ladder leading to the slide is 22 ft long. How far is it from the end of the slide to the foot of the ladder?

A) 208 ft
B) 10.198 ft
C) 20.396 ft
D) 26 ft

Question 34

Solve the problem. Give the answer to the nearest thousandth if necessary.

-The length of a rectangle is 4 meters, and the width is 3 meters. Find the measure of the diagonal of the rectangle.

A) 6 meters
B) 4 meters
C) 10 meters
D) 5 meters

Question 35

Solve the problem. Give the answer to the nearest thousandth if necessary.

-Two cars leave Springfield, Illinois at the same time. One travels north at 9 miles per hour and the other travels west at 12 miles per hour. How far apart are they after 2 hours? (Hint: Use d = rt to find the distance traveled by each car.)

A) 35 miles
B) 40 miles
C) 30 miles
D) 27 miles

Question 36

Solve the problem. Give the answer to the nearest thousandth if necessary.

-A rectangle has a length of and a width of . What is the best estimate for its dimensions?

A) 11 by 8
B) 11 by 7
C) 10 by 7
D) 10 by 8

Question 37

Find the square root. Express the answer as a whole number or as a square root. Do not use a calculator.

-

A) 10
B) 5
C) 14
D) 2

Question 38

Find the square root. Express the answer as a whole number or as a square root. Do not use a calculator.

-

A) 21
B) 8
C) 15
D) 3

Question 39

Find the square root. Express the answer as a whole number or as a square root. Do not use a calculator.

-

A) 33
B) 21
C) 39
D) 51

Question 40

Find the square root. Express the answer as a whole number or as a square root. Do not use a calculator.

-

A) 46
B) 25
C) 14
D) 34

Question 41

Find the square root. Express the answer as a whole number or as a square root. Do not use a calculator.

-

A)
B) 8
C)
D) 12

Question 42

Find the square root. Express the answer as a whole number or as a square root. Do not use a calculator.

-

A) 7
B) 11
C) 17
D) 13

Question 43

Find the square root. Express the answer as a whole number or as a square root. Do not use a calculator.

-

A) 8
B) 3
C) 15
D) 21

Question 44

Find the square root. Express the answer as a whole number or as a square root. Do not use a calculator.

-

A)
B)
C) 4
D) 10

Question 45

Find the distance between the pair of points.

- and

A) 6
B)
C) 18
D)

Question 46

Find the distance between the pair of points.

- and

A) 23
B)
C)
D) 17

Question 47

Find the distance between the pair of points.

- and

A)
B)
C) 1
D) 2

Question 48

Find the distance between the pair of points.

- and

A) 32
B)
C)
D)

Question 49

Find the distance between the pair of points.

- and

A) 20
B)
C)
D) 4

Question 50

Find the root.

--

A) 16
B) -4
C) 4
D) Not a real number

Question 51

Find the root.

-

A) 25
B) 11
C) 5
D) Not a real number

Question 52

Find the root.

-

A) 15.811
B) 31.623
C) -10
D) Not a real number

Question 53

Find the root.

--

A) 16
B) -4
C) 6.233
D) Not a real number

Question 54

Find the root.

-

A) 6.233
B) 16
C) 4
D) Not a real number

Question 55

Find the root.

-

A) 5
B) 25
C) -5
D) Not a real number

Question 56

Find the root.

-

A) 4
B) 16
C) -4
D) Not a real number

Question 57

Find the root.

-

A) 625
B) 6
C) 5
D) Not a real number

Question 58

Find the root.

-

A) -4
B) -204.8
C) 4
D) Not a real number

Question 59

Use a calculator with a cube root key to find the root. Round to the nearest thousandth.

-

A) 6
B) 4.243
C) 3.78
D) 2.621

Question 60

Use a calculator with a cube root key to find the root. Round to the nearest thousandth.

-

A) -5.657
B) -4.579
C) -3.175
D) -10.667

Question 61

Use a calculator with a cube root key to find the root. Round to the nearest thousandth.

-

A) 6.977
B) 4.837
C) 37.733
D) 10.64

Question 62

Use a calculator with a cube root key to find the root. Round to the nearest thousandth.

-

A) -12.438
B) -51.567
C) -5.368
D) -7.742

Question 63

Write the word or phrase that best completes each statement or answers the question.

Provide the proper response.
-How many square roots does any positive number have?

Question 64

Write the word or phrase that best completes each statement or answers the question.

Provide the proper response.
-How many real number cube roots does any negative number have?

Question 65

Write the word or phrase that best completes each statement or answers the question.

Provide the proper response.
-Explain why and - represent the same number.

Question 66

Write the word or phrase that best completes each statement or answers the question.

Provide the proper response.
-Give the definition or an example of the word Radicand.

Question 67

Write the word or phrase that best completes each statement or answers the question.

Provide the proper response.
-Can exist as a real number?

Question 68

Write the word or phrase that best completes each statement or answers the question.

Provide the proper response.
-Can represent a negative real number?

Question 69

Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify, if possible.

- .

A)
B) 35
C)
D)

Question 70

Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify, if possible.

- .

A)
B)
C)
D) 3

Question 71

Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify, if possible.

- .

A)
B)
C) 3
D) 3

Question 72

Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify, if possible.

- .

A)
B)
C) 9
D) 3

Question 73

Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify, if possible.

- .

A)
B) 2
C) 4
D)

Question 74

Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify, if possible.

- .

A) 9
B) 15
C) -15
D) -9

Question 75

Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify, if possible.

- .

A) 30
B) 30
C) 50
D) 60

Question 76

Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify, if possible.

- . , x?0

A) 5
B) 7
C) 2
D) 14x

Question 77

Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify, if possible.

-7 * 10

A) 70
B) 280
C) 28
D) 40

Question 78

Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify, if possible.

-3 * 3

A) 9
B) 18
C) 2
D) 18

Question 79

Simplify the radical.

-

A) 5
B) 20
C) 8
D) 4

Question 80

Simplify the radical.

-

A) 70
B) 5
C) 14
D) 18