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REVIEW for Benchmark I

Last updated 5 months ago

55 questions

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Question 1

1.

First Name

Question 2

2.

Last Name

Question 3

3.

School

Mohave High School

River Valley High School

CRUSHD Academy

Question 4

4.

Teacher

N. Fernandez

P. Reyes

T. Smeets

R. Hollander

D. Villanueva

Question 5

5.

Period

1

2

3

5

6

7

Question 6

6.

Which of the following equations represents a linear function?

Option 1

Option 2

Option 3

Option 4

Question 7

7.

Which graph shape best describes a quadratic function, and how can you distinguish it from a linear or exponential function by analyzing changes in y-values?

Straight line, constant rate of change in y-values

Parabola, constant second differences in y-values

Exponential curve, constant ratio in y-values

Parabola, constant first differences in y-values

Question 8

8.

Which equation below represents an exponential function?

Option 1

Option 2

Option 3

Option 4

Question 9

9.

A function is given by the table:

Linear

Quadratic

Exponential

None of the Above

Question 10

10.

The first is quadratic; the second is exponential

The first is exponential; the second is quadratic

Both are exponential

Both are quadratic

Question 11

11.

Linear

Quadratic

Exponential

None of the Above

Question 12

12.

Without graphing, determine which of the following could represent a quadratic function:

The function has a constant rate of change.

The differences of y-values are constant.

The second differences of y-values are constant.

The growth rate is constant by percentage.

Question 13

13.

Both exponential

Exponential then linear

Linear then exponential

Quadratic then exponential

Question 14

14.

f(x), because it decreases at a constant rate

g(x), because it has a peak and then decreases

h(x), because it decreases by a constant percentage over time

None, because cooling cannot be modeled by these functions.

Question 15

15.

Both increases forever

One increases forever, the other has a maximum and then decreases

Both have a maximum and then decrease

Both are exponential

Question 16

16.

What is the slope of a line passing through the points (2, 3) and (5, 9)?

2

3

4

6

Question 17

17.

The slope of the line y = -4x + 7 is:

-4

4

7

-7

Question 18

18.

What is the slope?

2

3

4

8

Question 19

19.

Which slope represents a horizontal line?

0

Undefined

1

-1

Question 20

20.

Which slope represents a vertical line?

0

1

Undefined

-1

Question 21

21.

Find the slope between points (-3, 4) and (2, -6).

2

-2

5

-5

Question 22

22.

The average rate of change of f(x) = 3x + 1 from x = 2 to x = 5 is:

1

2

3

4

Question 23

23.

Option 1

Option 2

Option 3

Option 4

Question 24

24.

First segment

Second segment

Both equal

Not enough data

Question 25

25.

Two lines have slopes of 2 and -1/2. Which statement is correct?

The lines are parallel.

The lines are perpendicular

The lines are the same

The lines never intersect

Question 26

26.

Find the average rate of change of f(x)=x^2+2x from x=1 to x=4.

7

8

9

10

Question 27

27.

A line passes through (0, 5) and has a slope of -3. Which equation represents this line?

y=−3x+5

y=−3x−5

y=3x+5

y=3x−5

Question 28

28.

If the slope of a line is negative, which statement is true about the line?

It goes up from left to right

It goes down from left to right

It is horizontal

It is vertical

Question 29

29.

The average rate of change of a company’s revenue went from $50,000 at year 2 to $80,000 at year 5. What is the rate of change?

$6,000/year

$8,000/year

$9,000/year

$10,000/year

Question 30

30.

A cyclist’s position is given by s(t)=5t2+2t meters after t seconds. Find the average rate of change from t=2 to t=6.

28 m/s

30 m/s

32 m/s

34 m/s

Question 31

31.

Which of the following is the standard form of a quadratic function?

Option 1

Option 2

Option 3

Option 4

Question 32

32.

Answer the following question.

(4, 3)

(-4, 3)

(4, -3)

(-4, -3)

Question 33

33.

Answer the following question.

-2

2

8

5

Question 34

34.

Answer the following question.

-3 and 2

3 and -2

-3 and -2

3 and 2

Question 35

35.

Answer the following question.

Upward

Downward

Sideways

None of the above

Question 36

36.

Answer the following question.

x = -3

x = 3

x = 5

x = -5

Question 37

37.

Answer the following question.

The maximum occurs when x=10, because that is the axis of symmetry of the parabola.

The maximum occurs when x=20, because the parabola opens upward and the vertex is at x=20.

The maximum occurs when x=10, because the vertex of a downward-opening parabola represents its maximum point.

The maximum occurs when x=0, because the profit is highest when no products are sold.

Question 38

38.

Answer the following question.

4 only

-4 only

±4

No solution

Question 39

39.

Answer the following question.

Option 1

Option 2

Option 3

Option 4

Question 40

40.

Answer the following question.

(2, 3)

(-2, 3)

(2, -3)

(-2, -3)

Question 41

41.

Answer the following question.

Option 1

Option 2

Option 3

Option 4

Question 42

42.

Answer the following question.

0 and -4

0 and 4

-2 and 4

-2 and 0

Question 43

43.

A sports arena wants to install a giant arch for its entrance. The arch will be modeled by a parabola whose base is 40 meters wide and whose maximum height is 15 meters. The vertex of the parabola is at the center of the base. Which equation correctly models the arch’s height h(x) in meters, where x is the horizontal distance from the center of the base in meters?

Option 1

Option 2

Option 3

Option 4

Question 44

44.

Answer the following question.

x = 3

x = -3

x = 2

x = -2

Question 45

45.

Answer the following question.

Opens upward, vertex is maximum

Opens downward, vertex is maximum

Opens upward, vertex is minimum

Opens downward, vertex is minimum

Question 46

46.

Answer the following question.

2 seconds

4 seconds

5 seconds

10 seconds

Question 47

47.

Answer the following question.

$100,000

$200,000

$300,000

$400,000

Question 48

48.

Answer the following question.

5 units

10 units

15 units

20 units

Question 49

49.

Answer the following question.

900 square meters

1200 square meters

1800 square meters

2400 square meters

Question 50

50.

A parabola passes through the points (0, 4), (1, 7), and (2, 6). What is its equation in standard form?

Option 1

Option 2

Option 3

Option 4

Question 51

51.

Answer the following question.

$50/year

$55/year

$110/year

$120/year

Question 52

52.

Answer the following question.

It is constant

It increases over time

It decreases after the peak

It is always positive

Question 53

53.

A train’s position is recorded at 2:00 PM (20 miles), 3:00 PM (50 miles), and 4:00 PM (80 miles). What can you conclude?

The train’s average rate of change is constant at 30 mph

The train accelerated

The train decelerated

The rate of change cannot be determined

Question 54

54.

Answer the following question.

The student is correct

The student is wrong; slope should be 4

The student is wrong; slope should be -8

The student is wrong; slope should be 8

Question 55

55.

You are comparing two investments: Investment A: $5,000 grows linearly by $500/year Investment B: $5,000 grows by 8% per year After 15 years, which will have the higher total, and why?

Investment A, because linear growth is steady

Investment B, because exponential growth surpasses linear growth over time

Both will be equal

Investment A, because it starts faster