Free Printable Radicals Practice for Quiz 2B

1.

a)

y ≥ 0

b)

x ≥ -2

c)

x ≤ -2

d)

y ≥ 2

2.

a)

y ≤ 3

b)

x ≥ 2

c)

y ≥ 3

d)

x ≤ 2

3.

a)

A

b)

B

c)

C

d)

D

4.

What kind of function is represented by the graph?

a)

Cube Root Function

b)

Cubic Function

c)

Polynomial Function

d)

Square Root Function

5.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

6.

a)

x ≥ 3

b)

x ≥ 0

c)

x ≤ 0

d)

All Real #s

7.

Find the Domain

a)

b)

c)

8.

What are the transformations for the graph of
the parent function f(x) = √x to the function above

a)

Vertical Stretch by a factor of 2; translated down 5 units

b)

Shifted right 2 units and down 5 units

c)

Vertical stretch by a factor of 2; translated left 5 units

d)

Vertical stretch by a factor of 2; translated right one unit

9.

Which of the following correctly describes the domain and range for the function graphed?

a)

D: $\left[-5,\ \infty\ \right)$

R: $\left(-\infty,\ 4\right]$

b)

D: $\left[-5,\infty\right)$

R: $\left[4,\infty\right)$

c)

D: $\left(-\infty,\ \infty\right)$

R: $\left(-\infty,\ \infty\right)$

d)

D: $\left[4,\infty\right)$

R: $\left(-\infty,\ -5\right]$

10.

Describe the transformation.

a)

Down 1

b)

Reflect over y-axis

c)

Up 1

d)

Reflect over x-axis

11.

Describe the transformation

a)

Left 4 units, up 1 unit

b)

Right 4 units, up 1 unit

c)

Left 4 units, down 1 unit

d)

Right 4 units, down 1 unit

12.

Which of the facts is not true about the graph shown?

a)

The range is all real numbers.

b)

The function has been shifted 6 units right.

c)

The function has been shifted up 1 unit

d)

The function has been vertically stretched by a factor of 2.

13.

Which of the following is the function shown in the graph?

a)

b)

c)

d)

14.

Identify the Range

a)

y ≤ 6

b)

All Real Numbers

c)

x ≥ 6

d)

y ≤ 3

15.

What kind of function is represented by the graph?

a)

Cube Root Function

b)

Cubic Function

c)

Polynomial Function

d)

Square Root Function

16.

Identify the domain.

a)

$\left(-\infty,\infty\right)$

b)

$\left(2,\infty\right)$

c)

$\left[2,\infty\right)$

d)

$\left(-1,\infty\right)$

e)

$\left[-1,\infty\right)$

17.

Identify the positive interval.

a)

$\left(2,\infty\right)$

b)

$\left(3,\infty\right)$

c)

$\left(-\infty,\infty\right)$

d)

$\left(-1,\infty\right)$

18.

Identify the domain

a)

$\left(-\infty,\infty\right)$

b)

$\left[-1,\infty\right)$

c)

$\left[1,\infty\right)$

d)

(-2,5)

19.

What is the interval of increase/decrease for the graph of the radical function?

a)

$Increase:\ none\ \ Decrease:\ \left[-4,\ \infty\right)$

b)

$Increase:\ \left[-2,\ \infty\right)\ Decrease:\ none$

c)

$Increase:\left[-4,\ \infty\right)\ Decrease:\ none$

d)

$Increase:\ \left[-4,\ \infty\right)\ \ Decrease:\ \left[-2,\ \infty\right)$

20.

Identify the DOMAIN and RANGE

a)

b)

c)

d)

21.

What kind of function is represented by the graph?

a)

Cubic Root Function

b)

Cubic Function

c)

Polynomial Function

d)

Square Root Function

22.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

23.

Which of the following is the function shown in the graph?

a)

b)

c)

d)

24.

Describe the end behavior for the function graphed.

a)

b)

c)

d)

25.

Which of the following is NOT true about the function graphed.

a)

The function is increasing over the interval (-infinity, infinity).

b)

The function is translated 2 units left and 3 units up.

c)

The function has a domain of

d)

The function has no x-intercept.

26.

a)

Domain\ \left(-\infty,\infty\right)\ \ \ Range\ \left(-\infty,\infty\right)

b)

$Domain:\ \left[-1,\infty\right)\ \ \ \ \ \ \ \ \ \ \ Range:\ \left[3,\infty\right)$

c)

$Domain:\ \left[3,\infty\right)\ \ \ \ \ \ \ \ \ \ \ \ \ Range:\ \left[-1,\infty\right)$

d)

$Domain:\ \left[1,\infty\right)\ \ \ \ \ \ \ \ \ \ \ Range:\ \left[3,\infty\right)$

27.

a)

$\left(-\infty,\infty\right)$

b)

$\left[\frac{2}{3},\infty\right)$

c)

$\left[5,\infty\right)$

d)

$\left(-\infty,5\right]$

28.

a)

b)

c)

d)

29.

a)

b)

c)

d)

30.

$f\left(x\right)=\ 4\sqrt{x+2}-3$

Describe the transformation, domain, and range for the provided function.

a)

Vertical Stretch by 4, Left 2, Down 3
$Domain:\ \left[-2,\infty\right)\ \ \ \ \ \ \ \ \ \ \ Range:\ \left[-3,\ \infty\right)$

b)

Vertical Stretch by 4, Right 2, Up 3 $Domain:\ \left[-2,\infty\right)\ \ \ \ \ \ \ \ \ \ \ Range:\ \left[-3,\ \infty\right)$

c)

Vertical Stretch by 4, Left 2, Down 3
$Domain:\ \left(-\infty,\infty\right)\ \ \ \ \ \ \ \ \ \ \ Range:\ \left(-\infty,\infty\right)$

d)

Vertical Stretch by 4, Right 2, Up 3 $Domain:\ \left(-\infty,\infty\right)\ \ \ \ \ \ \ \ \ Range:\ \left(-\infty,\infty\right)$

31.

a)

Both functions have an x- intercept of x = 2.

b)

Both functions moved up 2.

c)

Both Functions have a Domain and Range of all real numbers.

32.

Identify the positive interval.

a)

$\left(2,\infty\right)$

b)

$\left(3,\infty\right)$

c)

$\left(-\infty,\infty\right)$

d)

$\left(-1,\infty\right)$

33.

What is the interval of increase/decrease for the graph of the radical function?

a)

$Increase:\ none\ \ Decrease:\ \left[-4,\ \infty\right)$

b)

$Increase:\ \left[-2,\ \infty\right)\ Decrease:\ none$

c)

$Increase:\left[-4,\ \infty\right)\ Decrease:\ none$

d)

$Increase:\ \left[-4,\ \infty\right)\ \ Decrease:\ \left[-2,\ \infty\right)$

34.

What kind of function is represented by the graph?

a)

Cubic Root Function

b)

Cubic Function

c)

Polynomial Function

d)

Square Root Function

35.

Describe the end behavior for the function graphed.

a)

b)

c)

d)

36.

True or False

a)

True

b)

False

37.

Solve the radical equation: $11=2+\sqrt{90-x}$

a)

x = 9

b)

x = 82

c)

x = -9

d)

x = -82

38.

Solve the radical equation: $\sqrt{x-5}=\sqrt{23-x}$

a)

x = -14

b)

x = 14

c)

No Solution

d)

x = 28

39.

Solve the radical equation:10=\sqrt{14x+2}

a)

x = 102

b)

x = 12

c)

x = 98

d)

x = 7

40.

Solve the radical equation: $\sqrt{6x+1}-8=3$

a)

x = 20

b)

x = 11

c)

x = 4

d)

x = -2

41.

a)

A

b)

B

c)

C

d)

D

42.

a)

x = 6, x = -1

b)

x = -6, x = 1

c)

x = 1

d)

x = 6

43.

solve for x:

44.

a)

A

b)

B

c)

C

d)

D

45.

a)

Step 1: divide both sides by 2

b)

Step 1: add 9 to both sides

46.

a)

9

b)

-9

c)

21

d)

-21

47.

a)

1

b)

43

c)

8

d)

55

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

4

b)

-4

c)

2

d)

-2

50.

x = -2

x = 3

x = 5

No Solution

a)

x = -2

b)

x = 3

c)

x = 5

d)

No Solution

51.

a)

Step 1: subtract both sides by 8

b)

Step 1: add 6 to both sides

c)

Step 1: Divide both sides by 8

d)

Step 1: Divide both sides by 6

52.

Solve the radical equation. Don't forget to check your answers!

a)

2

b)

1

c)

-1

d)

8

53.

a)

2, 7

b)

2

c)

7

d)

No Solution

54.

Solve the radical equation. Don't forget to check your answers!

a)

x = -6

b)

x = 3

c)

x = 7/3

d)

x = -5

55.

a)

A

b)

B

c)

C

d)

D

56.

Solve for x.

a)

9 & -9

b)

9

c)

-9

d)

Answer not given

57.

Hiroki is calculating the speed of a tsunami. The formula is $s=\sqrt[]{9.8d}$ , where d is ocean depth in meters and s is speed. In this case, the ocean was 1500 meters deep. How fast was the wave (in m/s²)?

a)

4695.7 m/s²

b)

121.2 m/s²

c)

153.1 m/s²

d)

229,591.8 m/s²

58.

The time t (in seconds) it takes a trapeze artist to swing back and forth is represented by the function $t = 2\pi \sqrt{\frac{r}{32}}$ , where r is the rope length (in feet). How long is the rope if it takes the trapeze artist 6 seconds to swing back and forth?

Please round your answer to the tenths place and include units!!

4 lines

59.

The radius of a sphere with volume V can be found using the formula $r = \sqrt[3]{\frac{3V}{4\pi}}$ . Find the radius if the volume is 1000 cm³.

a)

48.5 cm

b)

6.2 cm

c)

13.3 cm

d)

4188.8 cm

60.

$s = 2\pi \sqrt{\frac{L}{32}}$ represents the swing of a pendulum, where s is the time in seconds to swing. L is the length in feet.

Find the length of the pendulum that makes one swing in 1.5 seconds.

Please round to the hundredths place. Don't forget the units!

4 lines

61.

The frequency f (in cycles per second) of a string of an electric guitar is given by the equation $f=\frac{1}{2L}\sqrt{\frac{T}{m}}$ , where L is the length of the string (in meters), T is the string’s tension (in newtons), and m is the string’s mass per unit length (in kilograms per meter). The high E string of an electric guitar is 0.64 meters long with a mass per unit length of 0.000401 kilogram per meter. How much tension is required to produce a frequency of about 330 cycles per second?

a)

T = 4.47 N

b)

T = 71.55 N

c)

T = 0.17 N

d)

T = 26.65 N

62.

Round $\sqrt[6]{406}$ to the hundredths place.

a)

2.72

b)

2.73

c)

20.15

d)

20.14

63.

Round $\sqrt[3]{841}$ to the hundredths place.

64.

Round $\sqrt[4]{1208}$ to the hundredths place.

65.

Round $-7\ \sqrt[]{23}$ to the tenths place.

a)

-33.5

b)

-33.6

c)

-33.57

d)

-1.57

66.

The formula $V=\sqrt[]{2gh}$ gives the velocity V, in feet per second, of an object when it falls h feet accelerated by gravity g, in feet per second squared. If gravity is approximately 32 feet per second squared, find how far an object has fallen if its velocity is 80 feet per second. Drag the numbers and/or variables into the correct blank in the formula.

a)80

b)32

c)h

d)V

e)g

1

2

3

1)

2)

3)

Radicals Practice for Quiz 2B

Total questions: 66

Worksheet time: 5hrs 37mins

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