wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Final Quizizz

Total questions: 45

Worksheet time: 1hrs 23mins

Name
Class
Date
1.

Write using a radical: x85x^{\frac{8}{5}}  

a)

x85\sqrt[5]{x^8}  

b)

x58\sqrt[8]{x^5}  

c)

x58\sqrt[]{x^{\frac{5}{8}}}  

d)

x3x^{-3}  

2.

Write using a fractional exponent: k824\sqrt[24]{k^8}  

a)

x248x^{\frac{24}{8}}  

b)

x3x^3  

c)

x13x^{\frac{1}{3}}  

d)

x3x^{-3}  

3.

272327^{\frac{2}{3}}  

a)

3

b)

6

c)

9

d)

81

4.

256x12y244\sqrt[4]{256x^{12}y^{24}}

a)

4x8y204x^8y^{20}

b)

64x3y664x^3y^6

c)

128x6y12128x^6y^{12}

d)

4x3y64x^3y^6

5.

2m250=02m^2-50=0  

a)

m=5m=5  

b)

m=5m=-5  

c)

m=±5m=\pm5  

d)

m=±25m=\pm25  

6.

How has  g(x)=2x4+2g\left(x\right)=-2\sqrt{x-4}+2  been transformed from its parent function,  f(x)=xf\left(x\right)=\sqrt{x}  ?

a)

Reflected over x axis, vertical stretch by 2, shift right 4 and up 2.  

b)

Reflection over y axis, vertical stretch by 2, shift left 4 and up 2.

c)

Reflection over y axis, vertical stretch by 2, shift right 4, and Up 2.

d)

Reflection over x-axis, vertical compression by 2, shift Left 2, and Up 2

7.

Graph y=x+433y=-\sqrt[3]{x+4}-3

a)
b)

d

c)

d)

8.

Find the DOMAIN and RANGE of the Radical Function

a)

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

 Range (5, )\ Range\ \left(-5,\ \infty\right)

b)

Domain (3, )Domain\ \left(3,\ \infty\right)  Range (5, )\ Range\ \left(-5,\ \infty\right)

c)

Domain (3, )Domain\ \left(3,\ \infty\right) Range (, )Range\ \left(-\infty,\ \infty\right)

d)

Domain (5, )Domain\ \left(-5,\ \infty\right)

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

9.

Which function matches the graph?

a)

f(x)=x+33+2f\left(x\right)=\sqrt[3]{x+3}+2

b)

f(x)=x33+2f\left(x\right)=-\sqrt[3]{x-3}+2

c)

f(x)=x33+2f\left(x\right)=\sqrt[3]{x-3}+2

d)

f(x)=x23+3f\left(x\right)=\sqrt[3]{x-2}+3

10.

Which equation is shown graphed?

a)

y=x+1+4y=-\sqrt[]{x+1}+4

b)

y=x1+4y=-\sqrt[]{x-1}+4

c)

y=x1+4y=\sqrt[]{x-1}+4

d)

y=x+1+4y=\sqrt[]{x+1}+4

11.

11=2+90x11=2+\sqrt{90-x}  Solve the equation

a)

x = 9

b)

x = -9

c)

x = 81

d)

x = -81

12.

Solve for x:

(2x1)34+9=36\left(2x-1\right)^{\frac{3}{4}}+9=36

a)

27

b)

13

c)

41

d)

82

13.

Given the functions

f(x)=log8(x+8)f\left(x\right)=\log_8\left(x+8\right)  and   g(x)=8x+16g\left(x\right)=8x+16 find  (fg)(x)\left(f\circ g\right)\left(x\right)  

a)

log8(8x+24)\log_8\left(8x+24\right)

 

b)

log8(8x2+24)\log_8\left(8x^2+24\right)  

c)

8log8(x+8)+168\log_8\left(x+8\right)+16

 

d)

8log8(x+24)8\log_8\left(x+24\right)

 

14.

Given the functions

f(x)=log8(x+8)f\left(x\right)=\log_8\left(x+8\right)  and   g(x)=8x+16g\left(x\right)=8x+16 find  (g  f)(x)\left(g\ \circ\ f\right)\left(x\right)  

a)

log8(8x+24)\log_8\left(8x+24\right)

 

b)

log8(8x2+24)\log_8\left(8x^2+24\right)  

c)

8log8(x+8)+168\log_8\left(x+8\right)+16

 

d)

8log8(x+24)8\log_8\left(x+24\right)

 

15.

Select all the equations that represent exponential decay.

a)

y=12(4)xy=\frac{1}{2}\left(4\right)^x

b)

y=4(12)xy=4\left(\frac{1}{2}\right)^x

c)

y=80(1.4)xy=80\left(1.4\right)^x

d)

y=60(0.7)xy=60\left(0.7\right)^x

e)

y=3(0.6)xy=3\left(0.6\right)^x

16.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
17.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
18.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
19.

Which of the following has a vertical asymptote at x=4x=4  

a)

y=2x4y=2^x-4  

b)

y=log2(x4)y=\log_2\left(x-4\right)  

c)

y=2x+4y=2^x+4  

d)

y=log2(x+4)y=\log_2\left(x+4\right)  

20.

Rewrite in exponential form. log6 t=m\log_{6\ }t=m  

a)

mt=6m^t=6  

b)

tm=6t^m=6  

c)

6t=m6^t=m  

d)

6m=t6^m=t  

21.

Convert into log form: ex=5e^x=5  

a)

ln5=x\ln5=x  

b)

logex=5\log_ex=5  

c)

logxe=5\log_xe=5  

d)

loge=5\log e=5  

22.

condense into one logarithm 2log5 a+log5 b4log5 c2\log_5\ a+\log_5\ b-4\log_5\ c  

a)

log5(a2bc4)\log_5\left(\frac{a^2b}{c^4}\right)  

b)

log5(abc)\log_5\left(\frac{ab}{c}\right)  

c)

log5(a2+bc4)\log_5\left(a^2+b-c^4\right)  

d)

2log5(a+bc)-2\log_5\left(a+b-c\right)  

23.

Expand: log6(54y)\log_6\left(\frac{5}{4y}\right)  

a)

log65 + log64 + log6y\log_65\ +\ \log_64\ +\ \log_6y  

b)

log65  log64 + log6y\log_65\ -\ \log_64\ +\ \log_6y  

c)

log65  log64  log6y\log_65\ -\ \log_64\ -\ \log_6y  

d)

log65  log64y\log_65\ -\ \log_64y  

24.

Solve 2x=132^x=13
Round your answer to the nearest hundredth

a)

1.11

b)

0.27

c)

3.70

d)

3.60

25.

Solve.

log8(4x+4)=2\log_8\left(4x+4\right)=2

a)

15

b)

12

c)

10

d)

3

26.

Write the explicit formula for the geometric sequence.

3,12, 48, 1923,-12,\ 48,\ -192

a)

an = 4(3)n-1

b)

an = 3(4)n-1

c)

an = -4(3)n-1

d)

an = 3(-4)n-1

27.

Given the recursive definition, what is the explicit definition?

a)

an=13(12)n1a_n=\frac{1}{3}\left(12\right)^{n-1}

b)

an=13(12)na_n=\frac{1}{3}\left(12\right)^n

c)

an=12(13)na_n=12\left(\frac{1}{3}\right)^n

d)

an=12(13)n1a_n=12\left(\frac{1}{3}\right)^{n-1}

28.

Which of the following are correct trig ratios for

θ \theta\ ?

a)

sinθ =1213\sin\theta\ =\frac{12}{13}

b)

secθ =1312\sec\theta\ =\frac{13}{12}

c)

cot θ =512\cot\ \theta\ =\frac{5}{12}

d)

cosθ =135\cos\theta\ =\frac{13}{5}

e)

cscθ =1312\csc\theta\ =\frac{13}{12}

29.

tan(5π4)=\tan\left(\frac{5\pi}{4}\right)=  

a)

33\frac{\sqrt[]{3}}{3}

b)

11

c)

3\sqrt[]{3}

d)

3-\sqrt[]{3}

e)

1

30.

tan(17π6)=\tan\left(\frac{17\pi}{6}\right)=  

a)

33\frac{\sqrt[]{3}}{3}

b)

33-\frac{\sqrt[]{3}}{3}

c)

3\sqrt[]{3}

d)

3-\sqrt[]{3}

e)

1-1

31.

tan(5π3)=\tan\left(-\frac{5\pi}{3}\right)=  

a)

33\frac{\sqrt[]{3}}{3}

b)

33-\frac{\sqrt[]{3}}{3}

c)

3\sqrt[]{3}

d)

3-\sqrt[]{3}

e)

11

32.

What is the interquartile range?

a)

39

b)

55

c)

16

d)

18

33.

Which of the following describes the center of the histogram based on its shape?

a)

Standard Deviation

b)

IQR

c)

Median

d)

Mean

34.

Which measure of spread should be used to describe the distribution?

a)

standard deviation

b)

interquartile range

c)

range

d)

median

35.
The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  What is the z-score for a temperature of 17 degrees?  
a)
b)
1.43
c)
-1.43
d)
11.5
36.

A 12 oz can of soda has a mean volume of 12 oz, with a standard deviation of .25 oz. How common are cans with less than 11.5 oz of soda?

a)

2.5%

b)

.15%

c)

2.35%

d)

16%

37.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4. About what percent of golfers are older than 42?

a)

13.5%

b)

16%

c)

2.5%

d)

34%

38.

A survey found that 39% of the population owned dogs, 22% owned cats, and 8% of the population owned both a cat and a dog. Find the probability that a person owns a cat or a dog.

a)

0.08

b)

0.53

c)

0.61

d)

0.36

39.

The spinner is divided equally and is spun two times.

What is the probability of spinning A twice?

a)

1/8

b)

3/4

c)

1/4

d)

1/16

40.
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)

1 ⁄ 6

b)

1 ⁄ 8

c)

1 ⁄ 2

d)

1 ⁄ 12

41.

The probability of flooding in a year is 0.3. Find the probability that it does not flood two years in a row.

a)

0.09

b)

0.7

c)

0.49

d)

0.21

42.

What is the probability that a student speaks French given the student is a girl?

a)

2.14

b)

.24

c)

.4

d)

.8571

43.

Consider the following table with information about all of the students taking Statistics at Happy High School. What is the probability that a student is a male given that the student works full time.

a)

710\frac{7}{10}

b)

310\frac{3}{10}

c)

37\frac{3}{7}

d)

47\frac{4}{7}

44.

What is the equation of the circle.

a)

(x - 3)2 + (y + 4)2 = 9

b)

(x - 3)2 + (y + 4)2 = 3

c)

x2 + y2 = 9

d)

(x - 1)2 + (y + 1)2 = 7

45.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units