Free Printable Alg I Semester 2 Review

1.

Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

2.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

3.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

4.

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

a)

20, 100, 500, 2500

b)

5, 20, 80, 320

c)

4, 20, 100, 500

d)

4, 9, 14, 19

5.

What is the 14th term of the geometric sequence?

a)

14,348,907

b)

4,782,969

c)

1,594,323

d)

45

6.

What is the maximum value?

a)

58

b)

66

c)

64

d)

60

7.

The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?

a)

The mean will decrease

b)

The median will decrease

c)

The mean will increase

d)

The median will increase

8.

What measure of center is best to use when we have outliers?

a)

mean

b)

median

c)

mode

d)

range

9.

What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

10.

What is the interquartile range (IQR)?

a)

4

b)

64

c)

60

d)

8

11.

The table shows the points the JV basketball team scored in their first seven games. Calculate the mean, median, mode, and range. Which statistical measure best represents the team?

a)

Mean

b)

Median

c)

Mode

d)

Range

12.

What is the most common sprint time according to the dot plot?

a)

10.1

b)

10.2

c)

10.3

d)

10.4

13.

According to the histogram, how many people are 10 or younger?

a)

4

b)

6

c)

10

d)

11

14.

Determine the Mean Absolute Deviation (MAD) of the data.
9, 7, 11, 10, 8

a)

9

b)

6

c)

1.2

d)

5

15.

What type of correlation does this scatter plot show?

a)

positive linear association

b)

negative linear association

c)

no association

d)

nonlinear association

16.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the line of best fit to predict how many chapters would be in a book with 140 pages.

a)

12 chapters

b)

19 chapters

c)

14 chapters

d)

21 chapters

17.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the line of best fit to predict how many pages would be in a book with 6 chapters.

a)

100 pages

b)

170 pages

c)

60 pages

d)

20 pages

18.

You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?

a)

As x increases, y decreases

b)

As x increases, y increases

c)

As x decreases, y decreases

19.

What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = -5/8x + 170

c)

y = 25x + 170

d)

y = 5/8x + 170

20.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

21.

Determine which type of function the equation represents:

$y=5x^2-7x+9$

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

22.

Determine which type of function the equation represents:

$y=5\left(6.1\right)^x-12$

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

23.

Determine which type of function the graph represents.

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

24.

Determine which type of function the graph represents.

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

25.

Which of the following equations represents a quadratic function?

a)

$y=3+2x^2$

b)

$x=2y^2+3$

c)

$y=3x-2^2$

d)

$y=2^x-3$

26.

Determine which type of function the graph represents.

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

27.

Determine which type of function the graph represents.

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

28.

Determine what type of function the following table represents.

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

29.

Determine what type of function the table represents.

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

30.

Determine what type of function the following table represents.

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

31.

Number of steps taken per day and number of kilometers walked per day. $r=.92$

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

32.

Score on science exam and number of words written on the essay question. $r=.28$

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

33.

What is the range of the function shown?

a)

$-1\le y\le3$

b)

$-1\le x\le3$

c)

$5.3\le y\le27$

d)

$5.3\le x\le27$

34.

What is the domain of the function shown?

a)

$x>1$

b)

$y>1$

c)

$x>-2$

d)

$y>-2$

35.

Consider the given function that represents the balance in a bank account.

$b\left(x\right)=850\left(1.025\right)^x$

What is the initial balance in the account?

(a)

36.

Consider the given function that represents the balance in a bank account.

$b\left(x\right)=850\left(1.025\right)^x$

Is the balance increasing or decreasing?

(a)

37.

Consider the given function that represents the population of town.

$f\left(x\right)=22000\left(0.94\right)^x$

Is the population of the town increasing or decreasing?

(a)

38.

A small private school with a graduating class of 40 students in the year 2019 predicts that its graduating class will increase by 5% each year.

What function best represents this situation?

a)

$f\left(x\right)=40\left(0.95\right)^x$

b)

$f\left(x\right)=40\left(1.05\right)^x$

c)

$f\left(x\right)=5\left(0.60\right)^x$

d)

$f\left(x\right)=5\left(1.40\right)^x$

39.

The value of a new video game is $40. The value is expected to decrease by 5% each year.

What function best represents this situation?

a)

$f\left(x\right)=40\left(0.95\right)^x$

b)

$f\left(x\right)=40\left(1.05\right)^x$

c)

$f\left(x\right)=5\left(0.60\right)^x$

d)

$f\left(x\right)=5\left(1.40\right)^x$

40.

Which dashed line is the asymptote of this graph?

a)

q

b)

r

c)

t

d)

s

41.

What is the equation of the horizontal asymptote for following exponential function?

a)

y = -4

b)

y > -4

c)

y < -4

d)

(0, -3)

42.

Match the following

a)

1.

Growth

b)

2.

Decay

c)

a

3.

y-intercept

d)

$y\ =\ ab^x$

4.

Exponential Function Equation

e)

b

5.

Growth/Decay Factor

43.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

44.

Write an exponential function to model the situation. Solve.
2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

a)

C(t) = 12000(1.06)^t ; $3149.72

b)

C(t) = 12000(.06)^t ; $3149.72

c)

C(t) = 12000(.06)^t ; $1472.95

d)

C(t) = 12000(1.06)^t ; $15149.72

45.

Which equation describes the story below?
You have $5 and triple your money every day.

a)

y=5(3)^x

b)

y=5^x

c)

y=5(3x)

d)

y=15^x

46.

The value of a book is $58 and depreciates at a rate of 7% per year. Write an exponential function to find the value of the book after 8 years.

a)

$32.46

b)

$76.32

c)

$54.26

d)

$73.62

47.

The population of a small town is 1600 and is increasing at a rate of 3% per year. Write an exponential function to model this situation. Then find the population of the town after 10 years.

a)

2,150 people

b)

1,738 people

c)

2,128 people

d)

1,819 people

48.

Rewrite 64 as a power of 2:

a)

$2^2$

b)

$2^6$

c)

$4^3$

d)

$2^8$

49.

Solve for x:
5^2x = 5^-x

a)

0

b)

-6

c)

8

d)

1

50.

Solve for x: 2^x = 16

a)

4

b)

3

c)

2

d)

1

51.

Solve for x : 4^x = 64

a)

1

b)

2

c)

3

d)

4

52.

Select ALL of the lines that are PERPENDICULAR to y = 3/4x + 9

a)

y = 3/4x - 3

b)

y = -3/4x + 9

c)

y = -4/3x + 8

d)

3y = -4x + 5

e)

4y = -3x + 7

53.

Line a passes through (2, 4) and (4, 7)

Line b passes through (-5, 3) and (-3, 6)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

54.

Slopes of parallel lines are...

a)

negative reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

55.

Slopes of perpendicular lines are...

a)

negative reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

56.

y = 3x +2

y = 3x - 3

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

57.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

58.

Choose ALL the lines PARALLEL to the following line: y = 2/9x - 7

a)

y = 2/9x + 8

b)

y = 9/2x -12

c)

-2y = 9x + 8

d)

9y = 2x -18

59.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

60.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

61.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

62.

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

a)

b)

c)

d)

63.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

64.

Find the perimeter of the figure to the right. Round to the nearest tenth.

a)

20.8 units

b)

116 units

c)

11.5 units

d)

19.8 units

65.

On a map, John’s school is located at (4, -5), the McDonald’s is located at (4, 3), the mall is located at (2, -5) and his home is situated at (2,3). What is the area between the four locations?

a)

8 square units

b)

10 square units

c)

16 square units

d)

20 square units

66.

What is the area of the triangle?

a)

60 square units

b)

90 square units

c)

45 square units

d)

30 square units

67.

What is the area of the parallelogram?

a)

18 units²

b)

20 units²

c)

24 units²

d)

30 units²

68.

Find the perimeter of the figure to the right. Round to the nearest tenth.

a)

20.8 units

b)

116 units

c)

11.5 units

d)

19.8 units

69.

Use the map of Sarah's town to answer the question below.

What is the distance Sarah will travel from her house to Randi's?

a)

5 units

b)

6 units

c)

8 units

d)

10 units

70.

When comparing two data sets, what does a smaller standard deviation indicate?

a)

The data is skewed to the left.

b)

The data points are closer to the mean.

c)

The data points are further from the mean.

d)

The data is normally distributed.

71.

Data set A has a range of 15, while data set B has a range of 25. What can we infer about the variability of these two data sets?

a)

Data set A is more spread out than data set B.

b)

Both data sets have the same spread.

c)

Neither data set has any variability.

d)

Data set B is more spread out than data set A.

72.

Which of the following describes a situation where it would be better to use the median instead of the mean?

a)

When the data set is symmetrical.

b)

When there is no mode.

c)

When data points are all positive.

d)

When there is a significant outlier.

73.

The box plots show data from a survey of students under 14 years old. They were asked on how many days in a month they read and draw. Based on the box plots, which is a true statement about the students?

a)

The "Read" data has the lower median

b)

The "Draw" data has a larger interquartile range

c)

The "Read" data has the highest value

d)

The "Draw" data has an outlier

74.

Find the outlier in the set of data:
20, 52, 86, 80, 44, 49, 57, 41, 44, 55

a)

86

b)

41, 80, 86

c)

80, 20, 86

d)

80, 86

75.

Using the information below, identify which of the following is an outlier:
Q1 = 3
Q2 = 7
Q3 = 12

a)

22

b)

25.5

c)

-8.5

d)

26

76.

Cora invested $400 at a rate of 35% for 8 months, compounded continuously. How much is her investment worth after 8 months?

a)

$520.07

b)

$505.12

c)

$460.11

d)

$7,643.74

77.

Quarterly means how many times a year?

a)

4

b)

2

c)

1

d)

6

78.

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Karla earn in 15 years?

a)

$1,584.62

b)

$2,651.39

c)

$2,706.86

d)

$1,825.10

Alg I Semester 2 Review

Total questions: 78

Worksheet time: 4hrs 6mins

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