Free Printable Module 1 Review

1.

Which sequence is NOT an arithmetic sequence?

a)

-7, -13, -19, -25,...

b)

-10, -6, -2, 2,..

c)

6, 8, 10, 12,...

d)

3, 15, 75, 375,...

2.

Write an explicit rule to model the following sequence:

Example 2: 21, 19, 17, 15, …

a)

$a_n=21-2n$

b)

$a_n=21+2n$

c)

$a_n=23+2n$

d)

$a_n=23-2n$

3.

Write and explicit rule to model the following sequence:

Example 3: -12, -7, -2, …

a)

$a_n\ =\ 5\ -12n\$

b)

$a_n\ =\ -17\ +\ 5n$

c)

$a_n\ =\ -5\ +\ 12n$

d)

$a_n\ =\ -17-5n$

4.

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

a)

182

b)

176

c)

170

d)

-118

5.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

6.

TRUE or FALSE?

An arithmetic sequence is an example of a linear function.

a)

True, because having a common difference also means it has a constant rate of change

b)

False, because it's not shown on a graph

7.

Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

8.

Find the common ratio: 4, -16, 64, -256, ...

a)

r = -4

b)

r = 2

c)

r = -2

d)

r = 4

9.

$a_n=a_1r^{n-1}$

Consider the first six terms of this sequence : 3,6,12,24,48,96….. What would be the 19th term of the sequence

a)

393216

b)

786432

c)

1572864

d)

1162261467

10.

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

a)

4

b)

3

c)

2

d)

6

11.

You have $729 in the bank on Day 1, $243 on Day 2, and $81 on Day 3. Write the explicit formula that expresses the sequence.

a)

a_n = 729(1/3)^n-1

b)

a_n = 729(3)^n-1

c)

a_n = 1/3(a_n-1)

d)

a_n= 1/3(729)^n-1

12.

What is the domain?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

13.

What is the Domain?

a)

-10 ≤ y ≤ 6

b)

y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All Real Numbers

14.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

15.

What is the range?

a)

{1, 2, 3, 4, 5, 6}

b)

{0, 1, 2, 3, 4, 5, 6}

c)

{2, 4, 8}

d)

{-1, 0, 1, 2, 3, 6}

16.

Which relation has a domain of {3,7} and a range of {0,5}?

a)

{(3,5), (3,7), (0,5), (0,3)}

b)

{(3,0), (7, 0), (3,5), (7,5)}

c)

{(3,0), (3,5), (3,7), (7,5)}

d)

{(7,0), (5,7), (3,5), (7,5)}

17.

What is the domain of this function?

a)

1 ≤ f(x) ≤ 7

b)

1 ≤ x ≤ 7

c)

-3 ≤ f(x) ≤ 3

d)

-3 ≤ x ≤ 3

18.

What is the DOMAIN?

a)

x ≤ 2

b)

x ≥ 2

c)

All Real Numbers

d)

-2 ≤ x ≤ 2

19.

What is the RANGE?

a)

y ≤ 2

b)

y ≥ 2

c)

All Real Numbers

d)

-2 ≤ y ≤ 2

20.

Which function family is represented by this graph?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Absolute Value

21.

Which function family is represented by this graph?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Cube Root

22.

Which function family is represented by this graph?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Cube Root

23.

Which function family is represented by this equation?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Square Root

24.

Which function family is represented by this equation?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Square Root

25.

Which function family is represented by this equation?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Square Root

26.

Which function family is represented by this equation?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Cube Root

27.

Which function family is represented by this equation?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Square Root

28.

Which function is linear?

a)

$y=3x+1$

b)

$y=2x^2+7x+1$

c)

$y=4^x$

d)

$y=2x^{3^{ }}+9$

29.

Which function is quadratic?

a)

$y=4x-1$

b)

$y=3^x+2$

c)

$y=x^2+4x+4$

d)

$y=3x^4+5$

30.

Which functions are exponential? (Check all that apply)

a)

$y=4^x$

b)

$y=\frac{1}{3}x-6$

c)

$y=2^x-6$

d)

$y=x^2$

31.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Cube Root

32.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Constant

33.

What family of function is this?

a)

Square Root

b)

Quadratic

c)

Linear

d)

Cube Root

34.

These equations are standard form for what type of function?

a)

Quadratic

b)

Square Root

c)

Linear

d)

Exponential

35.

The graph most accurately represents which of the following functions?

a)

y = ∛x

b)

y = x²

c)

y = x³

d)

y = 1 ∕ x

36.

Which graph represents

f\left(x\right)=\sqrt{x}

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

37.

Which type of function is shown in the graph?

a)

Exponential

b)

Square Root

c)

Cube Root

d)

Quadratic

38.

What is the range of the function graphed?

a)

(-∞, -3]

b)

(-∞, ∞)

c)

[-4, -1]

d)

[-3, ∞)

39.

Name the y-intercept(s) of the function in the graph.

a)

(-1, 0) and (4, 0)

b)

(-2, 0)

c)

(0, -2)

d)

(0, 4) and (0, -1)

40.

What type of function is the graph?

a)

cube root

b)

quadratic

c)

linear

d)

square root

41.

Identify the independent variable:

The amount of money, m, earned if t raffle tickets are sold

a)

money, m

b)

tickets, t

42.

Sophie earned $5 for every A she got on her report card.

m = money

A = A on report card

The dependent variable is:

a)

m = money

b)

A = A on report card

43.

A food service worker earns $12 per hour. How much money, m, does the worker earn on a shift of h hours? Identify the dependent variable.

a)

money

b)

hours

44.

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

45.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

46.

What is the range?

a)

{0, 1, 2, 15}

b)

(0, 1, 2, 3}

c)

{3, 7, 11, 15}

d)

{3, 7, 11, 3}

47.

What is the range?

a)

{5, 10, 15}

b)

{(5,2), (5,4), (10,6), (15,8)}

c)

{2, 4, 6, 8}

d)

{5, 2, 4, 10, 15}

48.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

49.

Is this mapping a function and how can you tell?

a)

Yes its a function cause all the numbers have lines

b)

No it's not a function because there a 5 in both ovals

c)

No it's not a function because the x value 5 has 2 outputs.

d)

No it's not a function because the y value 5 has 2 inputs.

50.

What is the Domain?

a)

-3 ≤ x < 5

b)

-3 ≤ y < 5

c)

-8 ≤ x < 5

d)

-8 ≤ y < 5

51.

What is the domain of this function?

a)

1 ≤ f(x) ≤ 7

b)

1 ≤ x ≤ 7

c)

-3 ≤ f(x) ≤ 3

d)

-3 ≤ x ≤ 3

52.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

53.

What is the rate of change?

a)

1/2

b)

2

c)

7

d)

3

54.

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

a)

Translation left 2 units

b)

Translation right 2 units

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

55.

Which transformation will occur if f(x) = x is replaced with -f(x)?

a)

Reflection across the y-axis

b)

Narrower

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

56.

How did the equation shift from the parent function?
y = 3f(x) - 2

a)

less steep and translate down 2

b)

Translate up 2

c)

Translate down 2

d)

steeper and translate down 2

57.

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

a)

f(x) = 7x

b)

f(x) = x - 7

c)

f(x) = x + 7

d)

f(x) = 7x - 7

58.

Order the following equations from steeper to less steep.
1. y=5x
2. y=1/2x
3. y=3x
4. y=1/3 x

a)

1, 3, 2, 4

b)

2, 4, 3, 1

c)

1, 2, 4, 3

d)

2, 3, 4, 1

59.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

60.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

61.

Find f(4)

a)

1

b)

2

c)

3

d)

4

62.

Evaluate f(33)

a)

33

b)

11

c)

10

d)

8

63.

Give the y-interecept
5x + y = 5

a)

(1,0)

b)

(0,5)

c)

(5,0)

d)

(0,1)

64.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

65.

Determine the y-intercept for the following equation
4x + 2y = -12

a)

(0,-3)

b)

(0,-6)

c)

(-6,0)

d)

(-3,0)

66.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

67.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

68.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

Module 1 Review

Total questions: 68

Worksheet time: 3hrs 5mins

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