Free Printable Algebra EOC Review (Repeat Questions)

Worksheets

Algebra EOC Review (Repeat Questions)

Total questions: 69

Worksheet time: 2hrs 37mins

Name

Class

Date

Create g(x) in terms of f(x).

g(x) = 3

g(x) = f(x) + 3

g(x) = f(x) - 3

g(x) = f(x + 3)

In the graph, g(x) = f(x) + h

Based on the graph, what is h ?

-5

-2

Create g(x) in terms of m(x).

g(x) = m(x) + 3

m(x) = g(x) + 7

g(x) = m(x) + 7

g(x) = m(x) - 7

Create m(x) in terms of f(x).

m(x) = f(x) - 3

m(x) = f(x) + 3

m(x) = f(x) - 4

m(x) = f(x) + 4

Create f(x) in terms of m(x).

m(x) = f( x - 3 )

m(x) = f(x) + 3

f(x) = m(x) + 4

f(x) = m(x) - 4

What conclusion can be made ?

An increase in ice cream sales causes an increase in shark attacks.

An increase in ice cream sales causes an decrease in shark attacks.

An increase in ice cream sales is correlated with an increase in shark attacks.

An increase in ice cream sales is correlated with an decrease in shark attacks.

What conclusion can be made ?

An increase in data 1 causes an increase in data 2.

An increase in data 1 causes a decrease in data 2.

An increase in data 1 is correlated with an increase in data 2.

An increase in data 1 is correlated with a decrease in data 2.

What conclusion can be made ?

Which statement about f(x) and g(x) is true?

f(x) > g(x)

for all values of x.

g(x) > f(x)

for all values of x.

f(x) > g(x)

for all values of x,

where x > 2

f(x) > g(x)

for all values of x,

where -1 < x > 2

10.

Which statement about f(x) and g(x) is true?

f(x) > g(x)

for all values of x.

g(x) > f(x)

for all values of x,

where x < 2

f(x) > g(x)

for all values of x,

where x > 2

g(x) > f(x)

for all values of x,

where x < -1

11.

Which statement about f(x) and g(x) is true?

f(x) > g(x)

for all values of x.

g(x) > f(x)

for all values of x.

f(x) > g(x)

for all values of x,

where x > 1

g(x) < f(x)

for all values of x.

12.

Which statement about f(x) and g(x) is true?

f(x) > g(x)

for all values of x,

where x > 1

g(x) > f(x)

when x = -2

f(x) < g(x)

when x = 0.5

g(x) < f(x)

for all values of x,

where 0 < x < 1

13.

Which statement about f(x) and g(x) is true?

f(x) < g(x)

for all values of x,

where x < -0.737

f(x) > g(x)

when x = 5

f(x) < g(x)

when x = 1

g(x) < f(x)

when x = - 1.5

14.

Which statement about f(x) and g(x) is NOT true?

f(x) = g(x)

when x = - 1

f(x) = g(x)

when x = - 0.737

f(x) = g(x)

when x = 0

g(x) = f(x)

when x = 1

15.

A sequence is shown

4, 12, 36, …

Write a function f(n) that represents the $n^{th}$ term of the sequence where f(1) = 4.

f(n) = ?

$4\cdot3^n$

$4\cdot3^{n-1}$

4 + 8 ( n - 1 )

4 + 8 ( n )

16.

A sequence is shown

4, 12, 20, …

Write a function f(n) that represents the $n^{th}$ term of the sequence where f(1) = 4.

f(n) = ?

$4\cdot3^n$

$4\cdot3^{n-1}$

4 + 8 ( n - 1 )

4 + 8 ( n )

17.

A sequence is shown

100, 98, 96, …

Write a function f(n) that represents the $n^{th}$ term of the sequence where f(1) = 100.

f(n) =

$100-2^n$

$100-2\left(n-1\right)$

$100-2\left(n\right)$

$100-2^{n-1}$

18.

The number of mosquitos doubles each month.

There are 7,000 mosquitos at a campsite.

Write an equation for the number of mosquitoes after n months.

$y=2\cdot7000^n$

$y=7000\cdot2^x$

$y=7000\cdot2^{n-1}$

$y=2\cdot7000^{n-1}$

19.

The number of mosquitos increases 15% each month.

There are 7,000 mosquitos at a campsite.

Write an equation for the number of mosquitoes after n months.

$f\left(n\right)=7000\cdot1.15^n$

$f\left(n\right)=7000\cdot0.15^n$

$f\left(n\right)=7000\cdot1.15^{n-1}$

$f\left(n\right)=7000\cdot0.15^{n-1}$

20.

Which of these is NOT a solution to the system of inequalities shown?

( 1, 0 )

( 2, 0 )

( 1, 1 )

( 2, 3 )

21.

Which point is a solution to the system of inequalities?

( 3, -1 )

( 2, -2 )

( 2, 0 )

( 2, -3 )

22.

Which point is a solution to the system of inequalities?

23.

Which point needs to be removed in order for this set to represent a FUNCTION?

{ A(2, 4), B(3, 4), C(5, 5), D(6, 7), E(2, 10) }

24.

What x-value for the unknown coordinate below would make this a FUNCTION?

{(-2, 7), (3, 12), (0, 5), (? , 9}

-2

25.

What is the domain of f(x) ?

$x\le0$

$x\ge0$

$x<0$

$x>0$

26.

What is the domain of g(x) ?

$x\le0$

$x\ge0$

$x<0$

$x>0$

27.

What is the range of f(x) ?

$y\le0$

$y\ge0$

$y<0$

$y>0$

28.

What is the range of g(x) ?

$y\le0$

$y\ge0$

$y=4$

$y\ge4$

29.

Data Set A: 1.3, 1.4, 1.5, 1.5, 1.5, 1.9, 9.7

The outlier in the data is REMOVED. Which one of these is true?

The mean will decrease.

The mean will increase.

The mode will get bigger.

The range will stay the same.

30.

Data Set B: 5, 16, 9, 18, 1

Which of these is FALSE?

The range is 17.

There is NO mode.

The mean is 8.

The median is 9.

31.

Select the zeros of the function.

-1

-3

32.

What is the minimum of the function?

-1

-4

-3

33.

What is the y-intercept of the function?

-1

-4

-3

34.

Bob spent $25 to buy 9 flowers for his mother.

He bought roses which cost $3 and daisies which cost $2.

Select TWO equations that would make a system for this situation.

x + y = 9

3x + 2y = 25

2x + 3y = 9

x + y = 25

35.

Select all correlation coefficient values that represent a WEAK correlation.

r = 0.9

r = 0.09

r = -1

r = -0.1

0.777

36.

Select all correlation coefficient values that represent a STRONG correlation.

r = 0.9111

r = 0.091

r = -1

r = -0.1

0.7

37.

Select all correlation coefficient values that represent a STRONG POSITIVE correlation.

r = 0.9111

r = 0.091

r = -1

r = -0.1

0.7

38.

Select all correlation coefficient values that represent a STRONG NEGATIVE correlation.

r = 0.9111

r = 0.091

r = -1

r = -0.1

0.7

39.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

h = 2C + 15

C = 15h + 2

h = 15C + 2

C = 2h + 15

40.

Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

3h + 0.90d = S

S = 90d + 3h

S = 3d + 90h

S = 3h + 9.0d

41.

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

222.5 = m(35 + 0.75)

222.5 = 35 + 0.75m

222.5 = 0.75 + 35m

222.5 = 0.75(m + 35)

42.

A man is climbing down from 100 feet high descending 30 feet per minute.

y = 100 - 30x

y = 100 + 30x

y = 100x + 30

y = 100x - 30

43.

The height, in feet, of a plane x minutes after it begins another ascent can be modeled by

300x + 1200

What does the 300 represent in this expression?

the rate of ascent of the plane

the height of the plane after x minutes

the total ascent of the the plane after x minutes

the height of the plane before it begins its next ascent

44.

The height, in feet, of a plane x minutes after it begins another ascent can be modeled by

300x + 1200

What does the 1200 represent in this expression?

the rate of ascent of the plane

the height of the plane after x minutes

the total ascent of the the plane after x minutes

the height of the plane before it begins its next ascent

45.

Mr. P has already saved some money for a new calculator and is receiving weekly donations to help pay for it.

The total amount of money saved, y, after x weeks of donations can be modeled by the following:

y = 23x + 15

What does the y represent in this equation?

the total amount Mr. P received in donations each week

the total amount of donations Mr. P has after x weeks of donations

the total amount Mr. P has before receiving weekly donations

the total amount of money Mr. P has to pay for a calculator

46.

Mr. P has already saved some money for a new calculator and is receiving weekly donations to help pay for it.

The total amount of money saved, y, after x weeks of donations can be modeled by the following:

y = 23x + 15

What does the x represent in this equation?

the total number of weeks Mr. P received donations

the total amount of donations Mr. P has after x weeks of donations

the total amount Mr. P has before receiving weekly donations

the total amount of money Mr. P has to pay for a calculator

47.

Mr. P has already saved some money for a new calculator and is receiving weekly donations to help pay for it.

The total amount of money saved, y, after x weeks of donations can be modeled by the following:

y = 23x + 15

What does the 15 represent in this equation?

the total amount Mr. P received in donations each week

the total amount of donations Mr. P has after x weeks of donations

the total amount Mr. P has before receiving weekly donations

the total amount of money Mr. P has to pay for a calculator

48.

When does f(x) = g(x) ?

(Select ALL that apply)

When x = 1

When x = 2

When x = -1

When x = 0

When x = 4

49.

When does f(x) = g(x) ?

(Select ALL that apply)

When x = -2

When x = 2

When x = 3

There are no values of x when f(x) = g(x)

All Real Numbers

50.

Describe the end behavior of each function.

1. positive
2. positive
3. positive
4. negative

1. negative
2. negative
3. negative
4. positive

1. positive
2. positive
3. positive
4. positive

1. negative
2. negative
3. negative
4. negative

51.

Select ALL that have a POSITIVE end behavior.

f(x) = x

g(x) = 2x² - 5

m(x) = -3x + 100

A(x) = -x² + 4

52.

Select ALL that have a NEGATIVE end behavior.

f(x) = 0.5x²

g(x) = -2^x - 5

m(x) = 9 - 3x

A(x) = $\left|-x-3\right|$

53.

Using the box and whisker plot provided, select the 3rd Quartile Value

140

150

54.

Using the box and whisker plot provided, select the 2nd Quartile Value

100

150

55.

Using the box and whisker plot provided, select the 1st Quartile Value

100

150

56.

Using the box and whisker plot provided, what percentage of the data is between $40 and $90 ?

57.

Using the box and whisker plot provided, what is the interquartile range?

110

58.

Which city has a higher median?

Millersburg

Arcadia

59.

Which profession has the greatest range of salaries?

Nuclear engineer

Police officer

Musician

Impossible to tell

60.

What was the range of the daily tip totals?

$100

$30

$40

$70

61.

What is the difference between the medians for the two data sets?

0 tickets

2 tickets

4 tickets

6 tickets

62.

What is the range in gas mileage for cars?

63.

Is the Cars dot plot skewed left or right?

left

right

64.

What is the difference in the median gas mileage?

65.

What is the difference in the interquartile ranges?

66.

Which is a true statement based on the box plots above

The data for Team B have the greater range.

The data for Team A are more symmetric.

The data for Team B have the greater interquartile range.

The data for Team A have the greater median.

67.

Which is a true statement based on the dot plots above?

Set B has the greater range

Set B has the greater median

Set B has the greater mean

Set A is less symmetric that Set B

68.

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?

Most students draw at least 12 days a month.

Most students read less than 12 days a month.

Most students read more often than they draw.

Most students draw more often than they read.

69.

Which statement is true about the interquartile range?

Class 1 has and interquartile range of 4 which is greater than the interquartile range of Class 2.

Class 1 has and interquartile range of 5 which is greater than the interquartile range of Class 2.

Class 1 has an interquartile range of 4, and Class 2 has an interquartile range of 5.

Class 1 and Class 2 have an interquartile range of 14.

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Algebra EOC Review (Repeat Questions)

Total questions: 69

Worksheet time: 2hrs 37mins

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