Free Printable Unit 2 Test Review

1.

Identify the common difference.

-6, -3, 0, 3, 6....

a)

4

b)

3

c)

-4

d)

-3

2.

What is the 15th term of the sequence an = -3n+50

a)

95

b)

-5

c)

5

d)

-95

3.

Write a recursive formula for the following sequence:

10, 5, 0, -5,...

a)

a₁= 10

a_n= a_n-1 - 5

b)

a₁= 10

a_n= a_n-1 + 5

c)

a₁= 10

a_n= a_n (5)

d)

a₁= 10

a_n= a_n-1 (5)

4.

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

a)

-16, -21, -26, -31

b)

5, -11, -27, -43

c)

-16, -80, -500, -200

d)

-16, -11, -6, -1

5.

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

a)

32

b)

64

c)

127

d)

356

6.

What is the explicit formula for the sequence?

6, -14, -34, -54, ....

a)

$a_n=6\ +\ -18\left(n\ +1\right)$

b)

$a_n=6\ +\ -20\left(n-1\right)$

c)

$a_n=6\ +\ 20\left(n-1\right)$

d)

$a_n=\ 6\ +\ 18\left(n\ -1\right)\$

7.

What is the explicit formula?

-13, -213, -413, -613, ...

a)

$a_n\ =\ -214\ +\ 201\left(n-1\right)$

b)

$a_n=-13\ +\ -201\left(n-1\right)$

c)

$a_n=-214\ +\ -201\left(n-1\right)$

d)

$a_n=-13\ +\ -200\left(n-1\right)$

8.

What is the explicit formula?

2, 11, 20, 29, ...

a)

$a_n\ =\ -5+\ -7\left(n-1\right)$

b)

$a_n=2+\ -7\left(n-1\right)$

c)

$a_n=2\ +\ 7\left(n-1\right)$

d)

$a_n=2\ +\ 9\left(n-1\right)$

9.

The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured.

Which statement best describes the y-intercept of the graph?

a)

The water level increased by

$0.25$ ft per day

b)

The maximum water level was $19.5$ ft

c)

The initial water level was $16$ ft

d)

The water level was measured for 14 days

10.

The graph models a linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan.

Which statement describes the x-intercept of the graph?

a)

The x-intercept is 60, which represents the initial balance in dollars of the loan

b)

The x-intercept is 27,000, which represents the initial balance in dollars of the loan

c)

The x-intercept is 60, which represents the number of monthly payments needed to repay the loan

d)

The x-intercept is 27,000, which represents the number of monthly payments needed to repay the loan

11.

A student rode a bike from school to a recreation center. The graph shows the student’s distance in miles from the recreation center after riding the bike for x miles. What is the range of the situation?

a)

All real numbers greater than or equal to 0 and less than or equal to 28

b)

All real numbers greater than or equal to 0 and less than or equal to 9

c)

All real numbers less than 28

d)

All real numbers less than 9

12.

What is the DOMAIN of this graph in Set Builder Notation?

a)

{x| -4 ≤ x ≤ 3}

b)

{x| -1 ≤ x ≤ 4}

c)

-4 ≤ x ≤ 3

d)

-1 < x < 4

13.

What is the RANGE of this graph in Set Builder Notation?

a)

{x| -4 ≤ x ≤ 3}

b)

{y| -1 ≤ y ≤ 4}

c)

{x| -1 ≤ x ≤ 4}

d)

-1 < y < 4

14.

Which of the following below best describes the domain of the function shown on the graph in Set Builder Notation?

a)

{y| -2 ≤ y ≤ 2}

b)

-5 ≤ x ≤ 3

c)

{y| -5 ≤ y ≤ 3}

d)

{x| -5 ≤ x ≤ 3}

15.

Which of following below best describes the range of the function shown on the graph in Set Builder Notation?

a)

{y| -2 ≤ y ≤ 2}

b)

{y| -5 ≤ y ≤ 3

c)

{x| -2 ≤ x ≤ 2}

d)

-2 ≤ y ≤ 2

16.

What is the range of the following graph?

a)

all real numbers

b)

all integers

c)

any real number greater than zero

d)

it can not be determined

17.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

18.

Determine the domain

a)

All real numbers

b)

(-∞, 6]

c)

[-6, 6]

19.

As x → -∞, Y → ______?

a)

∞

b)

-∞

c)

Neither

d)

Both -∞ and ∞

20.

Where is the function positive?

a)

(6, ∞)

b)

(-∞, 6)

c)

(0, ∞)

d)

(-∞, 0)

21.

As X → ∞, f(x) →______?

a)

∞

b)

-∞

c)

Neither

d)

Both ∞ & -∞

22.

Describe the following graph.

a)

Increasing

b)

Decreasing

c)

Vertical

d)

Horizontal

23.

Determine the range

a)

All real numbers

b)

(-∞, 2]

c)

[-6, 2]

24.

Where is the function negative?

a)

(6, ∞)

b)

(-∞, 6)

c)

(0, ∞)

d)

(-∞, 0)

25.

Examine the sequence of integers: −4, 3, 10, 17, 24 Write an algebraic expression that represents the nth integer in this sequence?

a)

7x + 11

b)

7x - 11

c)

1/7x -11

d)

1/7 + 11

26.

Examine the sequence of integers: 28, 38, 48, 58, 68 Write an algebraic expression that represents the nth integer in this sequence?

a)

30x - 2

b)

20x +8

c)

10x +18

d)

10x + 8

27.

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

28.

Consider the function f(x)=9x+5. Find f(7).

a)

102

b)

68

c)

7

d)

21

29.

Derek works at Subway making $9.25 an hour. The function d(x)=9.25x tells us how much money Derek makes after x hours of working. What is the meaning of d(4)=37?

a)

After 4 hours of work, Derek makes $37.

b)

Derek needs $4 more to have $37 total.

c)

After working for 4 days, Derek makes $37 total.

d)

After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

30.

Ms. Brackemyer is collecting pencils. The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days. What is the meaning of p(8)=52?

a)

Ms. Brackemyer starts with 8 pencils and ends with 52.

b)

After 8 days, Ms. Brackemyer has 52 pencils.

c)

Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

d)

Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

31.

A company is selling bubble gum. The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum. Find g(8) and tell what it means within the context of the problem.

a)

g(8)=8. This means that after 8 packages of gum, the company makes $8.

b)

g(8)=42. This means that 8 packages of gum costs $42.

c)

g(8)=28. This means that 8 packages of gum costs $28.

d)

g(8)=24. This means that 8 packages of gum costs $24.

32.

What is the cost of renting a car and driving it 40 miles?

a)

$50

b)

$42

c)

$38

d)

$27

33.

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

34.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

35.

Is the graph pictured a linear or nonlinear function?

a)

Linear

b)

Nonlinear

36.

Is this function represented by the graph Linear or Nonlinear

a)

linear

b)

nonlinear

37.

Is the function represented by the graph linear or nonlinear

a)

linear

b)

nonlinear

38.

Is the function represented by this graph linear or nonlinear?

a)

Linear

b)

Nonlinear

39.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

40.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

Unit 2 Test Review

Total questions: 40

Worksheet time: 4hrs 47mins

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