Free Printable Linear Functions and Sequences

1.

What is the slope?

a)

1

b)

1/2

c)

2/1

d)

-2

2.

Geometric sequences involve

a)

multiplication and division

b)

addition and subtraction

3.

What is the common ratio for the sequence:
28, -14, 7, -3.5...

a)

1/2 (or 0.5)

b)

- 1/2 (or -0.5)

c)

-14

d)

-7

4.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

5.

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

a)

Arithmetic

b)

Geometric

c)

Neither

6.

The next two terms of the sequence 12, 17, 22, 27 are

a)

28 and 33

b)

29 and 34

c)

32 and 37

d)

30 and 35

7.

When Mark is 10, how old is Amber?

a)

10

b)

12

c)

14

d)

16

8.

What is the rule for the sequence of 3, 6, 9, 12 ....?

a)

Multiply by 2 from previous number

b)

Adding 3 from previous number

c)

Multiply by 2

d)

Adding 3

9.

Describe the sequence, find the 5th term, and write the rule

-8, -6, -4, -2...

a)

geometric, a₅ = 2, a_n = 2n - 10

b)

geometric, a₅ = 0, a_n = -10n + 2

c)

arithmetic, a₅ = 2, a_n = -10n + 2

d)

arithmetic, a₅= 0, a_n = 2n - 10

10.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

11.

The difference between consecutive terms of a arithmetic sequence.

a)

Arithmetic Sequence

b)

Recursive Formula

c)

Common Difference

d)

Sequence

12.

Find the next term:

81, 9, 1, 1/9, ...

a)

1/81

b)

1/27

c)

1/18

d)

18

13.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

14.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

15.

Which lists four consecutive terms of an arithmetic sequence?

a)

1, 4, 9, 16, ...

b)

3, 10, 17, 24, ...

c)

1, 2, 4, 8, ...

d)

-5, 6, 10, 13, ...

16.

What type of function does an Arithmetic Sequences make when graphed?

a)

Linear Functions

b)

Exponential Functions

17.

What does the letter r mean in a sequence?

a)

Rational numbers

b)

The term number

c)

Common Ratio

d)

Range

18.

Find the common ratio: 16, 8, 4, 2, ...

a)

r = 2

b)

r = 8

c)

r = 1/4

d)

r = 1/2

19.

Create the explicit formula for the sequence:

2, 8, 14, ...

a)

a_n= 2 + 6n

b)

a_n= -6 + 6n

c)

a_n= 6n - 4

d)

a_n= 4 - 6n

20.

Find the common ratio: 64, -16, 4, -1, ...

a)

r = -8

b)

r = -1/4

c)

r = -4

d)

r = 4

21.

A grocer is creating a display of cans. There are 40 cans on the 1st (bottom) row, 38 cans on the 2nd row, 36 cans on the 3rd row, and so on. How many cans will be on the 15th row?

a)

32 cans

b)

10 cans

c)

12 cans

d)

68 cans

22.

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

a)

20, 100, 500, 2500

b)

5, 20, 80, 320

c)

4, 20, 100, 500

d)

4, 9, 14, 19

23.

Find the common ratio of the geometric sequence
$2,\ \frac{1}{2},\ \frac{1}{8},\ \frac{1}{32},\ ...$

a)

$\frac{1}{3}$

b)

$\frac{1}{12}$

c)

$\frac{1}{16}$

d)

$\frac{1}{4}$

24.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

25.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

26.

The pattern followed by the sequence 3,6,9,12 is...

a)

+3

b)

+4

c)

-4

d)

+6

27.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

28.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

29.

Find the common difference: 1, 201, 401, 601, ...

a)

d = 100

b)

d = 101

c)

d = 200

d)

d = 201

30.

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

a)

18

b)

17

c)

15

d)

14

31.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

32.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

33.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

34.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

35.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

36.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

37.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

38.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

39.

Which equation matches the graph?

a)

y = 5

b)

y = -5

c)

x = -5

d)

x = 5

40.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

41.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

42.

What type of slope?

a)

zero slope

b)

undefined

c)

negative

d)

positive

43.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

44.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

45.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

46.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

47.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

48.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

49.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

50.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

51.

How do you calculate slope using a graph?

a)

rise over run

b)

run over rise

c)

look at the y intercept

d)

look at the x intercept

52.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

53.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

$y=\frac{1}{2}x-4$

d)

$y=-\frac{1}{2}x-4$

54.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

55.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

56.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

a)

b)

c)

d)

57.

What does a₁ represent?

a)

Any term

b)

First term

c)

Last term

58.

What does n represent?

a)

Number

b)

Nothing

c)

Term you are trying to find

59.

Is the sequence -432, 72, -12, 2,...geometric?

a)

yes

b)

no

60.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

61.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

62.

Find the common ratio for the geometric sequence.

a)

1

b)

-1

c)

7

d)

-7

63.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

64.

Find a₁₂ in the sequence -1, -3, -9, -27, ...

a)

-177,147

b)

-19,683

c)

-59,049

d)

118,098

65.

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

a)

384

b)

768

c)

1,536

d)

27

66.

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5^th birthday?

a)

$10

b)

$300

c)

$162

d)

$416

67.

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

a)

$50

b)

$35

c)

$320

d)

$250

68.

A geometric sequence has a common ration(r) of 3 and the 8th term (a₈) is 13,122. What is the first term of the sequence (a₁)?

a)

3

b)

6

c)

18

d)

2

69.

Find the common ratio: 64, -16, 4, -1, ...

a)

r = -8

b)

r = -1/4

c)

r = -4

d)

r = 4

70.

What is the y-intercept?

a)

(0, 1)

b)

(1, 0)

c)

(-2, 0)

d)

(0, -2)

71.

What is the slope?

a)

7

b)

4

c)

3

d)

0

72.

What is the y-intercept?

a)

(0, 7)

b)

(-1, 4)

c)

(0, 3)

d)

(0, 4)

73.

What is the slope?

a)

5

b)

-5

c)

2

d)

2/3

74.

What is the y-intercept?

a)

(0, 5)

b)

(0, -5)

c)

(0, 2/3)

d)

-5

75.

What is the slope?

a)

4

b)

-4

c)

1/4

d)

-1/4

76.

What is the slope?

a)

2

b)

-2

c)

6

d)

0

77.

What is the y-intercept?

a)

4

b)

(0, 0)

c)

(0, -4)

d)

(4, 0)

78.

What is the slope?

a)

1/5

b)

8

c)

(0, 8)

d)

-1/5

79.

What is the y-intercept?

a)

-1/5

b)

(8, 0)

c)

(0, 8)

d)

(0, -1/5)

80.

The next two terms of the sequence 12, 17, 22, 27 are

a)

28 and 33

b)

29 and 34

c)

32 and 37

d)

30 and 35

81.

When Mark is 10, how old is Amber?

a)

10

b)

12

c)

14

d)

16

82.

What is the rule for the sequence of 3, 6, 9, 12 ....?

a)

Multiply by 2 from previous number

b)

Adding 3 from previous number

c)

Multiply by 2

d)

Adding 3

83.

Describe the sequence, find the 5th term, and write the rule

-8, -6, -4, -2...

a)

geometric, a₅ = 2, a_n = 2n - 10

b)

geometric, a₅ = 0, a_n = -10n + 2

c)

arithmetic, a₅ = 2, a_n = -10n + 2

d)

arithmetic, a₅= 0, a_n = 2n - 10

84.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

85.

Which sequence here is non-linear?

a)

2, 4, 6, 8...

b)

5, 8, 11, 14

c)

1, 1, 2, 3, 5, 8...

d)

10, 7, 4, 1...

86.

The difference between consecutive terms of a arithmetic sequence.

a)

Arithmetic Sequence

b)

Recursive Formula

c)

Common Difference

d)

Sequence

87.

Does the following table represent a geometric sequence or an arithmetic? Explain

a)

geometric, it has a constant rate

b)

geometric, it has a constant percentage

c)

arithmetic, it has a constant rate

d)

arithmetic, it has a constant percentage

88.

Find the next term:

81, 9, 1, 1/9, ...

a)

1/81

b)

1/27

c)

1/18

d)

18

89.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

90.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

91.

Which lists four consecutive terms of an arithmetic sequence?

a)

1, 4, 9, 16, ...

b)

3, 10, 17, 24, ...

c)

1, 2, 4, 8, ...

d)

-5, 6, 10, 13, ...

92.

What are numbers in a sequence called?

a)

x-values

b)

terms

c)

constant factors

d)

constant rate of change

93.

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

a)

Arithmetic

b)

Geometric

c)

Neither

94.

Fill in the missing value.

a)

14

b)

17

c)

-16

d)

0

95.

Fill in the missing value.

a)

1

b)

3

c)

2

d)

4

96.

Fill in the missing value.

a)

-600

b)

0

c)

300

d)

-300

97.

Fill in the missing value.

a)

-81

b)

-61

c)

-41

d)

119

98.

Fill in the missing value.

a)

-8

b)

8

c)

7

d)

9

99.

The "X" value is the INPUT value.

a)

True

b)

False

100.

The "Y" value is the OUTPUT value.

a)

True

b)

False

101.

y = 3x + 90
What is the value of y when x = 18?

a)

y = 141

b)

y = 144

c)

y = 93

d)

y = 153

102.

y = -2x - 16
What is the value of y when x = -5?

a)

-12

b)

-10

c)

-8

d)

-6

103.

y = 50x
What is the value of y when x = 0?

a)

y = 0

b)

y = 50

c)

y = 100

d)

y = 1

104.

y = 7x + 49
What is the value of y when x = -12?

a)

y = -12

b)

y = -35

c)

y = -42

d)

y = -49

105.

Which equations fits the table?

a)

y = 6x

b)

y = x + 6

c)

y = -x + 6

d)

y = x - 6

106.

What is the y-intercept of the table?

a)

6

b)

(-4, -2)

c)

(6, 0)

d)

(0, 6)

107.

What is the y-intercept of the following table?

a)

-3

b)

(0, -3)

c)

(-2, -23)

d)

(-3, 0)

108.

What is the slope of the following equation?
y = 3x -1

a)

m = 3

b)

m = -1

c)

m = -1/3

d)

m = -3

109.

What is the slope of the following equation?
y = x

a)

m = 0

b)

m = 1

c)

m = 1/2

d)

m = undefined

Linear Functions and Sequences

Total questions: 109

Worksheet time: 18hrs 10mins

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