Free Printable 3-A Algebra

1.

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

a)

2

b)

4

c)

6

d)

8

2.

How many of these sequences have a common difference of -4?

-19, -15, -11, -7, -3,...

19, 15, 11, 7, 3...

3, 7, 11, 15, 19...

-3, 7, -11, 15, -19,...

a)

0

b)

1

c)

2

d)

3

3.

What number follows 20 in this arithmetic sequence?

8,11, 14, 17, 20

a)

5

b)

23

c)

26

d)

29

4.

Find the missing term in the geometric sequence: 8, 20, 50, 125, _____.

a)

75

b)

200

c)

250

d)

312.5

5.

Describe the pattern in the sequence. Find the next three terms.

13, 15, 17, 19,...

a)

Add 2; 23, 25, 27

b)

Multiply by 2; 38, 76, 152

c)

Add -2; 17, 15, 13

d)

Add 2; 21, 23, 25

6.

Is the sequence geometric? If so, identify the common ratio.

6, 12, 24, 48

a)

yes, 2

b)

yes, -2

c)

yes, 4

d)

no

7.

What is the fifth term of the geometric sequence?

5, 15, 45,...

a)

135

b)

1875

c)

1215

d)

405

8.

Find the next four terms of the arithmetic sequence 16, 24, 32,...

a)

40, 48, 56, 64

b)

36, 40, 44, 48

c)

35, 40, 45, 50

d)

40, 44, 50, 56

9.

What are the next four terms of the arithmetic sequence 122, 111, 100, ...?

a)

89, 78, 67, 56

b)

95, 90, 85, 80

c)

92, 88, 84, 80

d)

99, 88, 77, 66

10.

What is the difference between an arithmetic sequence and a geometric sequence?

a)

One is the sum of the numbers and one is just a list of numbers.

b)

One has a common difference and one has a common ratio.

c)

One you can write an nth term and one you cannot.

d)

None of these are correct.

11.

Find the 8th term of a geometric sequence for which a1=2 and r = 7?

a)

823,543

b)

11,529,602

c)

1,647,086

d)

5,764,801

12.

Is the sequence 2, 4, 12, 48,... geometric?

a)

yes

b)

no

13.

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

a)

Yes

b)

No

14.

5, 15, 45, 135 is a ...

a)

Geometric sequence with r = 3

b)

Geometric sequence with r = 1/3

c)

Arithmetic sequence with d = 10

d)

Arithmetic sequence with d = 3

15.

Write a formula for the following sequence:

5, 8, 11, 14, 17...

a)

a_n = 3n + 2

b)

a_n = 8 - 5n

c)

a_n = 5(3)^n-1

d)

a_n = 5 + 3n

16.

Write a formula for the following sequence:

2, 8, 14, ...

a)

a_n= 2 + 6n

b)

a_n= - 6 + 6n

c)

a_n= 6n - 4

d)

a_n= 4 - 6n

17.

What is the 100th term in the sequence a_n = 4n-12

a)

388

b)

40012

c)

-388

d)

100

18.

Given a₁= 5 and d= 2 find a₆

a)

13

b)

10

c)

15

d)

17

19.

What are the next three terms in the sequence 2, 9, 16, 23, 30, . . . ?

a)

37, 43, 50

b)

37, 44, 51

c)

37, 43, 50

d)

37, 44, 50

20.

What is the next term in the sequence $4,\ 4\frac{1}{4},\ 4\frac{1}{2},\ 4\frac{3}{4},\ ...$ ?

a)

$4\frac{4}{4}$

b)

5

c)

$5\frac{1}{4}$

d)

$5\frac{1}{2}$

21.

The next three terms in the sequence 49, 44, 39, 34, 29, … are

(a)

22.

What is the nth term of the quadratic sequence

-1, 11, 31, 59, 95, 139, ...

a)

12n-13

b)

$12n^2-13$

c)

$4n^2+5$

d)

$4n^2-5$

23.

What is the nth term of the sequence:

4, 16, 36, 64, 100, ...

a)

2n^2

b)

$\left(2n\right)^2$

c)

$\left(n+1\right)^2$

d)

$3n^2+3n-2$

24.

The first 5 terms of the sequence

2n-n^2

are:

1, 0, -3, -8, -15

What is the expression for the sequence whose first 5 terms are
3, 0, -9, -24, -45, ...

a)

$6n-n^2$

b)

$3n$

c)

$6n-3n^2$

d)

$3n-n^2$

25.

What is the nth term for the total number of squares?

a)

4n-2

b)

$n\left(n+1\right)$

c)

$n^2+1$

d)

$n\left(n+2\right)$

26.

Find the formula for the nth term of the sequence

3, 12, 25, 42, ....

a)

u_n=4n^2+n+3

b)

$u_n=2n^2-3n+2$

c)

$u_n=2n^2+3n-2$

d)

$u_n=3n^2$

27.

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

a)

8

b)

11

c)

-11

d)

-8

28.

What is the 100th term in the sequence? U_n = 4n-12

a)

388

b)

40012

c)

-388

d)

100

29.

What sequence does this n^th term rule produce? 6n - 5

a)

1, 6, 11, 16, 21

b)

1, 7, 13, 19, 25

c)

6, 12, 18, 24, 30

d)

5, 11, 17, 23, 29

30.

Find the next term in the following sequence.

3, 2.5, 2, 1.5 ...

a)

2

b)

1

c)

0.5

d)

0.75

31.

The next term of the sequence 2,4,8,16 is

a)

64

b)

32

c)

108

d)

20

32.

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...

33.

The first four terms of a sequence are

5, 11, 21, 35

What are the next two terms?

a)

41, 47

b)

53, 75

c)

49, 63

d)

45, 51

34.

What is the coefficient of

n^2

in this sequence?

a)

4

b)

2

c)

8

d)

1

35.

How many blocks would be in the 10th step in the sequence?

a)

120

b)

110

c)

99

d)

40

36.

Find the n^th term for the following quadratic sequence...

6, 9, 14, 21, 30...

a)

2n²

b)

3n + 5

c)

n² + 5

d)

n² - 5

37.

Find the n^th term for the following quadratic sequence...

1, 13, 33, 61, 97...

a)

4n² - 3

b)

3n² + 3

c)

3n² - 3

d)

4n² + 3

38.

What is the area of this circle?

a)

4π

b)

8π

c)

16π

d)

π

39.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the exact area of the rest of Pacman's body?

a)

(464/9)π mm²

b)

(112/9)π mm²

c)

(116/9)π mm²

d)

(28/9)π mm²

40.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

a)

3.3 ft²

b)

4.5 ft²

c)

6.3 ft²

d)

7.1 ft²

41.

What is the area of the shaded region? Round to the nearest hundredth.

a)

8π/3

b)

2π/3

c)

32π/3

d)

4π/3

42.

What is the area of the shaded region? Leave answers in terms of π.

a)

⅜π

b)

8/3π

c)

⅔π

d)

4/3π

43.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

5

b)

9

c)

8

d)

6

44.

Name the circle part shown in green

a)

Sector

b)

Arc

c)

Segment

d)

Radius

45.

What is the radius of a circle with an area of 49π?

a)

49

b)

10

c)

7

d)

14

46.

What is the circumference of this circle with a diameter of 12cm?

a)

3.14 cm

b)

37.7 cm

c)

24 cm

d)

68.4 cm

47.

Find the length of the arc.

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

48.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

49.

Find the area of the sector with a measure of 60 degrees and radius of 10in.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

50.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

51.

Find the circumference of the circle

a)

87.82

b)

153.86

c)

43.96

d)

307.72

52.

What is the length of the indicated arc? Round your answer to the nearest tenth.

a)

6.2

b)

63.1

c)

25.2

d)

15.5

53.

What is the length of the indicated arc? Round your answer to the nearest tenth.

a)

76.5

b)

11.5

c)

80.4

d)

3.4

54.

What is the area of the indicated sector? Round your answer to the nearest tenth.

a)

10.0

b)

8.3

c)

125.4

d)

115.4

55.

What is the area of the indicated sector?

a)

61.7

b)

13.8

c)

493.7

d)

30.9

56.

Solve for the volume.

a)

576 cm³

b)

288 cm³

c)

333 cm³

d)

28 cm³

57.

What is the volume of this prism?

a)

20 cubic feet

b)

8 cubic feet

c)

40 cubic feet

58.

Find the volume of the cylinder.

a)

4239

b)

1696

c)

1130

d)

565

59.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

60.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary.

a)

16.4 cm³

b)

31.7 cm³

c)

31.4 cm³

d)

22.0 cm³

61.

Find the total surface area of the prism.

a)

48 square inches

b)

64 square inches

c)

88 square inches

d)

76 square inches

62.

Find the lateral surface area of the prism.

a)

100.53 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

63.

Find the volume of the triangular prism.

a)

80 cm³

b)

15 cm²

c)

80

d)

40 cm³

64.

Calculate the volume:

a)

1120 ft ³

b)

600 ft ³

c)

560 ft ³

d)

64 ft ³

65.

Lucia has a triangular prism that has a length of 6cm and the width of 4cm and the height is 8cm. What is the volume

a)

96cm³

b)

54cm³

c)

80cm³

d)

24cm³

66.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

67.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

68.

What is the axis of symmetry?
y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

69.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

70.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

71.

The U-Shaped graph of a quadratic function is called a?

a)

Marabola

b)

X-value

c)

Parabola

d)

Height

72.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

73.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

74.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

75.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

76.

a)

340000

b)

340

c)

3400

d)

34000

77.

a)

5.4 × 10^-4

b)

54 × 10⁵

c)

5.4 × 10⁵

d)

5.4 × 10⁴

78.

a)

8.9 × 10^-4

b)

0.89 × 10^-4

c)

8.9 × 10^-3

d)

0.0089 × 10^-3

79.

a)

0.8 × 10¹

b)

8 × 10^-1

c)

0.8 × 10⁰

d)

8 × 10¹

80.

Round off 4.028 correct to three significant figures.

a)

4.02

b)

4.020

c)

4.03

d)

4.030

81.

Round off 60 835 correct to three significant figures.

a)

60 800

b)

60 830

c)

60 840

d)

60 900

82.

Round off the following numbers to 1 significant figure

a)

20

b)

21

c)

2

d)

20.7

83.

State the number of significant figure of the following number

a)

7 significant figure

b)

6 significant figure

c)

4 significant figure

d)

1 significant figure

3-A Algebra

Total questions: 83

Worksheet time: 5hrs 31mins

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