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Pre-Post Assessement

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37 questions

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Pre and post test for Algebra 1

Question 1

1.

Question 2

2.

Question 3

3.

Question 4

4.

Which statement BEST describes the graph of f(x + 6)?

    The graph of f(x) is shifted right 6 units.

    The graph of f(x) is shifted up 6 units.

    The graph of f(x) is shifted left 6 units.

    The graph of f(x) is shifted down 6 units.

Question 5

5.

Question 6

6.

The function f(x) = 3x – 9 is shifted 2 units up. Which equation correctly describes the new function?

     g(x) = 6x – 18

     g(x) = 3(x + 2) – 9

     g(x) = 3x – 7

     g(x) = 6x – 9

Question 7

7.

A quadratic function is shown.
What is the factored form of f(x) that reveals the zeros of the function?

     f(x) = (x+4)(x+2)

     f(x) = (x+2)(x+6)

    f(x) = (x+1)(x+15)

     f(x) = (x+3)(x+5)

Question 8

8.

Question 9

9.

Use this table to answer the question.

What is the average rate of change of x over the interval –2 ≤ x ≤ 0?

-5

5

-10

Question 10

10.

What is the end behavior of the graph of

   As x increases, f(x) decreases. As x decreases, f(x) increases.

    As x increases, f(x) increases. As x decreases, f(x) decreases.

    As x increases, f(x) decreases. As x decreases, f(x) decreases.

   As x increases, f(x) increases. As x decreases, f(x) increases.

Question 11

11.

Question 12

12.

Which statement BEST describes how the graph of
compares to the graph of

    The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

	The graph of g(x) is a vertical stretch of f(x) by a factor of 3.

	The graph of g(x) is a reflection of f(x) across the x-axis.

Question 13

13.

Question 14

14.

Question 15

15.

A certain population of bacteria has an average growth rate of 2%. The formula for the growth of
the bacteria’s population is
is the original population and t is the time in hours. If you begin with 200 bacteria, about how many bacteria will there be after 200 hours?

7

10,497

1449

272

Question 16

16.

Question 17

17.

The function graphed on this coordinate grid shows f(x), the height of a dropped ball, in feet, after its xth bounce.
On which bounce was the height of the ball 10 feet?

bounce 3

bounce 1

bounce 2 

bounce 4

Question 18

18.

A population of squirrels doubles every year. Initially, there were 5 squirrels. A biologist studying the squirrels created a function to model their population growth:
where t is the time in years. The graph of the function is shown.

Which values best describe the range of the population?

any whole number greater than 5

any whole number greater than or equal to 5

Question 19

19.

Question 20

20.

Question 21

21.

Question 22

22.

Question 23

23.

Question 24

24.

Question 25

25.

Question 26

26.

A table of values is shown for f(x) and g(x).

The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

Question 27

27.

Which statement is true about the graphs of exponential functions?

The graphs of exponential functions eventually exceed the graphs of linear functions but not
quadratic functions.

The graphs of exponential functions eventually exceed the graphs of linear and quadratic functions.

Question 28

28.

Which statement BEST describes the comparison of the function values for f(x) and g(x)?

The values of g(x) will always exceed the values of f(x).

The values of f(x) exceed the values of g(x) over the interval [0, 5].

The values of g(x) begin to exceed the values of f(x) within the interval [4, 5].

Question 29

29.

Question 30

30.

Question 31

31.

What is the y-intercept of the graph of

(0, 1)

(0, –3)

(0, 2)

(0, –4)

Question 32

32.

What is the range of the graph of f(x) = –3(x – 4)?

(–∞, 4)

(–3, ∞)

(–3, 4)

(–∞, ∞)

Question 33

33.

Question 34

34.

Question 35

35.

Question 36

36.

1. A sample of 1,000 bacteria becomes infected with a virus. Each day, one-fourth of the bacteria sample dies due to the virus. A biologist studying the bacteria models the population of the bacteria with the function
What is the range of this function in this context?

any real number such that t ≥ 0

any real number such that 0 ≤ P(t) ≤ 1,000

any whole number such that 0 < P(t) ≤ 1,000

Question 37

37.

The graph shows the height, y, in meters, of a rocket above sea level in terms of the time, t, in seconds, since it was launched. The rocket landed at sea level.

What does the x-intercept represent in this situation?

the height from which the rocket was launched

the total distance the rocket flew while it was in flight

the time it took the rocket to reach the highest point in its flight

Directions: Answer questions 1- 37  independently (Please do not help others or cheat.)  If you complete this assessment today please work on B-day ALEKS.  

Consider the pattern.

Which recursive formula represents the sequence that represents the pattern?

Which function is modeled in this table?

Which explicit formula describes the pattern in this table?

If 
which expression gives f(x)?

What is the equivalent form of 
 that reveals the minimum value of the function?

10

Which of these is an even function?

	The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis.

Use this graph to answer the question.
Which function is shown in the graph?

The function
models the height of a ball that was hit into the air, where t is measured in seconds and h is the height in feet. This table represents the height, g(t), of a second ball that was thrown into the air.


Which statement BEST compares the length of time each ball is in the air?

The ball represented by f(t) is in the air for about 3 seconds, and the ball represented by g(t) is in
the air for about 4 seconds.

The ball represented by f(t) is in the air for about 4 seconds, and the ball represented by g(t) is in
the air for about 3 seconds.

The ball represented by f(t) is in the air for about 5 seconds, and the ball represented by g(t) is in
the air for about 3 seconds.

The ball represented by f(t) is in the air for about 3 seconds, and the ball represented by g(t) is in
the air for about 5 seconds.

Look at the graph.

Which equation represents this graph?

any whole number greater than 0

any real number

Which function represents this sequence?

The points (0, 1), (1, 5), (2, 25), and (3, 125) are on the graph of a function. Which equation represents that function?

The function f(x) is graphed below.

Which graph shows f(x) + 2?

Which function shows the function f(x) = 3x being translated 5 units down?

Which scatter plot BEST represents a model of linear growth?

Which scatter plot BEST represents a model of exponential growth?

Which table represents an exponential function?

The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point
between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

The graphs of exponential functions never exceed the graphs of linear and quadratic functions.

The graphs of exponential functions always exceed the graphs of linear and quadratic functions.

The values of f(x) will always exceed the values of g(x).

If the parent function is f(x) = mx + b, what is the value of the parameter m for the line passing
through the points (–2, 7) and (4, 3)?

Consider this function for cell duplication. The cells duplicate every minute.

The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2
every minute.

The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every
minute.

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases
by 2 every minute.

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles
every minute.

Which function is modeled in this table?

If f(12) = 4(12) – 20, which function gives f(x)?

Which function has a range of

any whole number such that t ≥ 0

the time it took the rocket to return to sea level