Free Printable Semester 1 Final

1.

Olivia is trying to find the y-intercept of a linear function in her math class. What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

2.

Charlotte is analyzing a graph of the temperature in her city over a week. What is the range of the temperature on the graph?

a)

y = 6

b)

(0, -4)

c)

y > -6

d)

y < -6

3.

James is trying to find the domain of a function that represents the number of hours Aria and Maya can work together on a project. What is the domain of this function?

a)

-2 < x < 5

b)

0 < x < 12

c)

y > 0

d)

All Real Numbers

4.

Grace is trying to find the domain of a function she encountered in her math class. What is the domain of this function?

a)

y>1

b)

y = 1

c)

all real numbers

5.

Samuel, Liam, and Ava are trying to launch a rocket into space. They need to calculate the range of the rocket's flight. What is the range of the function representing the rocket's flight?

a)

y>0

b)

y<0

c)

y=0

6.

Arjun, Isla, and Aria are studying the growth of a certain bacteria in a lab. The growth of the bacteria can be represented by an exponential function. If they plot the growth on a graph, what would be the y-intercept of the function?

a)

(0,3)

b)

(3,0)

c)

(0,1)

d)

(-1,1)

7.

Noah, Emma, and Evelyn are studying the growth of a bacteria culture in their biology class. The growth of the bacteria is represented by an exponential function. When would they observe the growth rate of the bacteria to be decreasing?

a)

Always

b)

Never

c)

After a certain time

d)

Before a certain time

8.

On what intervals is the function decreasing?

a)

$\left(0,\ \infty\right)$

b)

$\left(-\ \infty,\ \infty\right)$

c)

$\left(-\infty,\ 0\right)$

d)

This function foes not decrease

9.

Oliver, Aiden, and Evelyn are participating in a long jump competition. If the function represents the distance they can jump, what is the range of this function?

a)

y>1

b)

y<1

c)

y=0

10.

What is the x-intercept?

a)

x = 0

b)

x=-4

c)

none

11.

Evelyn is trying to find the point where a line crosses the x-axis. What is the x-intercept?

a)

x = 0

b)

x = 3

c)

none

12.

Ethan is trying to find the x-intercept of a linear equation. Which of the following represents the x-intercept?

a)

x = 1

b)

x= 3

c)

none

d)

x= -1

13.

On what intervals is the function increasing?

a)

$\left(0,\ \infty\right)$

b)

$\left(-\ \infty,\ \infty\right)$

c)

$\left(-\infty,\ 0\right)$

d)

This function foes not increasing

14.

What is the End behavior on the right side

a)

x→∞, y→∞

b)

x→⁻∞, y→∞

c)

x→⁻∞, y→0

d)

x→∞, y→⁻∞

15.

Nora, Ava, and Benjamin are studying the graph of a function. They want to determine the end behavior of the function on the left side. What is the end behavior as x approaches negative infinity?

a)

x→∞, y→∞

b)

x→⁻∞, y→∞

c)

x→⁻∞, y→0

d)

x→∞, y→⁻∞

16.

Jackson, Aria, and Arjun are studying the end behavior of a function in their math class. What is the end behavior of the function they are analyzing?

a)

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

b)

x →∞, y→∞ and x→⁻∞, y→∞

c)

x →∞, y→∞ and x→⁻∞, y→2

d)

x →∞,y→2 and x→⁻∞, y→∞

17.

How do you feel about exponential functions characteristics ?

a)

b)

c)

d)

18.

Is the following sequence arithmetic?
21, 13, 5, -3, ...

a)

YES

b)

NO

19.

Is the following sequence arithmetic?
1, 4, 9, 16, ...

a)

YES

b)

NO

20.

Determine the common difference for the arithmetic sequence
-5, 12, 29, 46, ...

a)

7

b)

17

c)

-7

d)

-17

21.

Determine the common difference for the arithmetic sequence
9, 16, 23, 30, ...

a)

7

b)

17

c)

-7

d)

-17

22.

Find the next three terms for the arithmetic sequence
12, 7, 2, -3, ...

a)

8, 13, 18

b)

-8, -13, -18

c)

-7, -11, -15

d)

7, 11, 15

23.

Find the next three terms for the arithmetic sequence
19, 31, 43, 55, ...

a)

66, 77, 88

b)

65, 74, 83

c)

67, 79, 91

d)

63, 71, 79

24.

Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...

a)

a₁=82; a_n = a_n-1-6

b)

a₁=64; a_n = a_n-1-6

c)

a₁=82; a_n = a_n-1+6

d)

a₁=64; a_n = a_n-1+6

25.

Write the recursive rule for the arithmetic sequence
-49, -35, -21, -7, ...

a)

a₁=-49; a_n = a_n-1 + 10

b)

a₁=-7; a_n = a_n-1 + 14

c)

a₁=-49; a_n = a_n-1 + 14

d)

a₁= -49; a_n = a_n-1 -14

26.

Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...

a)

a_n= 10n + 17

b)

a_n = 7n - 17

c)

a_n = -7n + 17

d)

a_n = 7n + 3

27.

Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...

a)

a_n = 12n - 14

b)

a_n= 2n - 14

c)

a_n= -2n + 14

d)

a_n= -12n + 14

28.

Write the explicit rule for the arithmetic sequence
9, 13, 17, 21, ...

a)

a_n= -4n + 5

b)

a_n= -9n + 14

c)

a_n= 9n - 5

d)

a_n= 4n + 5

29.

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

a)

a₁ = 3 and d = -5

b)

a₁= -8 and d = 3

c)

a₁ = -5 and d = 3

d)

a₁ = -5 and d = -3

30.

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a₁ = 100; a_n = a_n-1 - 8

a)

Explicit; 100, 92, 84, 76

b)

Recursive; 100, 92, 84, 76

c)

Explicit; 100, 108, 116, 124

d)

Recursive; 100, 108, 116, 124

31.

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a_n = -4n - 1

a)

Explicit; -3, -7, -11, -15

b)

Recursive; -3, -7, -11, -15

c)

Explicit; -5, -9, -13, -17

d)

Recursive; -5, -9, -13, -17

32.

Find the given term for the sequence.
Find a₆₄ for a_n = 5n + 4

a)

9

b)

324

c)

320

d)

cannot be determined

33.

Find the given term for the sequence.
Find the 30th term of 20, 11, 2, -7, -16, ...

a)

29

b)

-261

c)

-241

d)

cannot be determined

34.

Given an arithmetic sequence where a₃₂ = 109 and a₄₆ = 193, find a₃₁₁.

a)

295

b)

-77

c)

1860

d)

1783

35.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

36.

Simplify:
√200

a)

10√2

b)

2√10

c)

50√2

d)

2√50

37.

Simplify:
√96

a)

16√6

b)

6√16

c)

9√6

d)

4√6

38.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

39.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

40.

Simplify

a)

9

b)

√9

c)

3√9

d)

can't simplify

41.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

42.

In simplest radical form,
√75 is equivalent to

a)

25√3

b)

25√3

c)

5√3

d)

3√5

43.

Simplify √60

a)

2√15

b)

12

c)

4√15

d)

3√5

44.

√243

a)

3√3

b)

9√3

c)

81√3

d)

3√81

45.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

46.

What is the conjugate of the expression:

a)

3 + 8√6

b)

3 - 8√6

c)

3 + 2√3

d)

-3 + 8√6

47.

What is the conjugate of the expression:

a)

2 + 3√7

b)

2 - 3√7

c)

-√7

d)

√7

48.

Simplify the expression:

a)

1

b)

9 - 4√4

c)

6 + 2√2

d)

1 - 4√2

49.

Simplify the expression:

a)

11√5 + 2∛5

b)

√365 + ∛40

c)

13√5

d)

9√5

50.

Simplify the expression:

a)

√2 - 3√3

b)

2√-59

c)

-2√2 - 3√3

d)

-3.782

51.

Simplify the expression:

a)

3y⁴∜5x³y³

b)

9xy∜5xy³

c)

121.5x^.75y^1.75

d)

3y∜5x³y³

52.

Simplify the radical expression:
$\sqrt{2x^2y^3}$

a)

$2y\sqrt{xy}$

b)

$2x\sqrt{y^2}$

c)

$y\sqrt{2xy}$

d)

$xy\sqrt{2y}$

53.

Simplify the radical expression:
$\sqrt{128a^3b^4}$

a)

$8ab^2\sqrt{2a}$

b)

$2a\sqrt{8ab^2}$

c)

$2ab\sqrt{64ab}$

d)

$64ab^2\sqrt{2a}$

54.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

55.

a)

-5√1

b)

8√2 + 13√3

c)

21√5

d)

20√5

56.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

57.

a)

√18 + 11√2

b)

22√5

c)

11√20

d)

14√2

58.

a)

0

b)

√5

c)

1

d)

-2√15

59.

Add: 4√7 - 10 √7 + 7√7

a)

-6√7

b)

14√7

c)

-3√14

d)

√7

60.

$2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$

a)

$24\sqrt{3}$

b)

$24\sqrt{3}+5\sqrt{8}$

c)

$14\sqrt{3}+10\sqrt{2}$

61.

$\sqrt{12}+5\sqrt{18}+2\sqrt{27}$

a)

$8\sqrt{3}+15\sqrt{2}$

b)

$8\sqrt{2}+15\sqrt{3}$

c)

$25\sqrt{2}$

62.

$2\sqrt{150}+3\sqrt{175}+4\sqrt{24}$

a)

$2\sqrt{6}+15\sqrt{7}$

b)

$18\sqrt{6}+15\sqrt{7}$

c)

$17\sqrt{13}$

63.

$-5\sqrt{2}+10\sqrt{8}+3\sqrt{18}$

a)

$24\sqrt{2}$

b)

$44\sqrt{2}$

c)

$62\sqrt{2}$

64.

a)

A

b)

B

c)

C

d)

D

65.

a)

A

b)

B

c)

C

d)

D

66.

(-2√7)(3√28)

a)

-6√14

b)

-6√13

c)

-84

d)

-78

67.

√5 × √10

a)

50

b)

2√5

c)

5√2

d)

5√10

68.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

Simplify:

a)

1/5

b)

20/100

c)

2/10

d)

1/√25

72.

Simplify:

a)

4√2

b)

4

c)

2√2

d)

8√2

73.

Simplify:

a)

12√90

b)

√10

c)

2√10

d)

(2√5)/2

74.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

76.

a)

A

b)

B

c)

C

d)

D

77.

a)

A

b)

B

c)

C

d)

D

78.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

79.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

80.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

81.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

82.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

83.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

84.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

85.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

86.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

87.

a)

A

b)

B

c)

C

d)

D

88.

x+2<-4 or -5x<-15

a)

-6<x<3

b)

x<-3 and x>6

c)

x<-6 or x>3

d)

No Solution

89.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

90.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

91.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

92.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

93.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

94.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

95.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

96.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

97.

Give the final solution set for:

2x + 1 > 9 or x - 4 < 6

a)

No solution

b)

4 < x < 10

c)

x > 4 or x < 10

d)

All real numbers

98.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

99.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

100.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

101.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

102.

Is this exponential growth or decay?

a)

Growth

b)

Decay

103.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

104.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

105.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

106.

Identify the initial value:

y = 6.87 (4)^x

a)

a = 4

b)

a = 6.87

c)

a = 3

d)

a = 1

107.

The function y = 125(1.13)^xrepresents Mr. Gantz's recent investments where x is measured in years. Which is NOT true?

a)

Mr. Gantz initial invested $125

b)

Mr. Gantz's money grows by 13% per year

c)

After 4 years Mr. Gantz will have about $203.81

d)

Mr. Gantz earns more money in year one than in year 5

108.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

a)

y=8(15,000)^x

b)

y=15,000(1.08)^x

c)

y=15,000(0.92)^x

d)

y=15,000(0.08)^x

109.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?

a)

$800

b)

$8367.70

c)

$6600

d)

$25,707.36

110.

Write an equation in slope-intercept form:

$slope\ =\ -\frac{2}{3}$ $y-intercept\ =\ \left(0,\ -9\right)$

a)

$y\ =\ -\frac{2}{3}x\ +\ 9$

b)

$y\ =\ -\frac{2}{3}x\ -\ 9$

c)

$y\ =\ -9x\ +\ \frac{2}{3}$

d)

$y\ =\ -9x\ -\ \frac{2}{3}$

111.

Write an equation in slope-intercept form:

$Slope\ =\ 10$

y-intercept\ =\ \left(0,\ 8\right)

a)

$y\ =\ 8x\ -\ 10$

b)

$y\ =\ 8x\ +\ 10$

c)

$y\ =\ 10x\ -\ 8$

d)

$y\ =\ 10x\ +\ 8$

112.

Write an equation in slope-intercept form:

$Slope\ =\ \frac{3}{8}$

y-intercept\ =\ \left(0,\ -1\right)

a)

$y\ =\ \frac{3}{8}x\ -\ 1$

b)

$y\ =\ \frac{3}{8}x\ +\ 1$

c)

$y\ =\ 1x\ +\ \frac{3}{8}$

d)

$y\ =\ 1x\ -\ \frac{3}{8}$

113.

Write the equation for the graph shown.

a)

$y\ =\ \frac{2}{1}x\ +\ 9$

b)

$y\ =\ -\frac{1}{2}x\ -\ 9$

c)

$y\ =\ -\frac{2}{1}x\ +\ 9$

d)

$y\ =\ \frac{1}{2}x\ +\ 9$

114.

Write the equation for the graph shown.

a)

$y\ =\ -\frac{2}{4}x\ +\ 8$

b)

$y\ =\ \frac{2}{4}x\ +\ 8$

c)

$y\ =\ 8x\ +\ \frac{2}{4}$

d)

$y\ =\ -\frac{4}{2}x\ +\ 8$

115.

Write an equation for the graph shown.

a)

$y\ =\ -\frac{3}{1}x\ +\ 2$

b)

$y\ =\ \frac{1}{3}x\ +\ 2$

c)

$y\ =\ \frac{3}{1}x\ +\ 2$

d)

$y\ =\ 2x\ +\ \frac{3}{1}$

116.

A photographer has already taken 10 pictures. She takes an additional 3 pictures per hour.

a)

$y\ =\ 10x\ +\ 3$

b)

$y\ =\ 3x\ +\ 10$

c)

$y\ =\ 3x\ -\ 10$

117.

Gil has $200 saved for snacks. He will spend $5 on snack per week until he runs out.

a)

$y\ =\ 200-5x\$

b)

$y\ =\ 5x\ +\ 200$

c)

$y\ =\ -200x\ +\ 5$

118.

Bad Bunny currently has $5 to go to Mexico. He is selling his famous cupcakes for $25 per dozen to raise more money.

a)

$y\ =\ 25x\ -\ 5$

b)

$y\ =\ 25x\ +\ 5$

c)

$y\ =\ 5x\ +\ 25$

d)

$y\ =\ -5x\ +\ 25$

119.

Write an equation for the table shown.

a)

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

b)

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

c)

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

d)

$y\ =\ \frac{1}{2}x\ -\ 3$

120.

Write an equation for the table shown.

a)

$y\ =\ 3x\ +\ 4$

b)

$y\ =\ 3x\ -\ 2$

c)

$y\ =\ \frac{1}{3}x\ +\ 4$

d)

$y\ =\ -3x\ +\ 4$

121.

Write an equation for the table shown.

a)

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

b)

$y\ =\ \frac{1}{3}x\ -\ 2$

c)

$y\ =\ -2x\ +\ \frac{1}{3}$

d)

$y\ =\ \frac{3}{1}x\ -\ 2$

122.

Adam earns $10 for each car he washes.

a)

Discrete

b)

Continuous

123.

Soft drinks sold from a vending machine on I-75 cost $1.75 per bottle.

a)

Discrete

b)

Continuous

124.

While driving to Florida, Sophia averaged 72 m.p.h.

a)

Discrete

b)

Continuous

125.

Graph of the growth of a plant for the next 30 days.

a)

Discrete

b)

Continuous

126.

The number of suitcases lost by airlines.

a)

Discrete

b)

Continuous

127.

The time it takes for a car battery to die.

a)

Discrete

b)

Continuous

128.

The number of orange Skittles in a bag.

a)

Discrete

b)

Continuous

129.

The time it takes for a light bulb to burn out.

a)

Discrete

b)

Continuous

130.

The number of miles it takes to use up a tank of gas.

a)

Discrete

b)

Continuous

131.

On the graph, you should NOT connect the dots.

a)

Discrete

b)

Continuous

132.

On the graph, you should connect the dots.

a)

Discrete

b)

Continuous

133.

Often involves a measurement, such as time and distance.

a)

Discrete

b)

Continuous

134.

Is the graph pictured discrete or continuous?

a)

Discrete

b)

Continuous

135.

Discrete or Continuous?

a)

Discrete

b)

Continuous

136.

Discrete or Continuous?

a)

Discrete

b)

Continuous

137.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

138.

a)

{-2, 3, 7}

b)

[-2, 3]

c)

{1, 2, 2, 3, 4}

d)

[1, 4]

139.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

140.

What is the Domain of this linear function?

a)

-6 ≤ x ≤ 6

b)

0 ≤ x ≤ 7

c)

2 ≤ x ≤ 7

d)

No Solution

141.

What is the Range of this linear function?

a)

-6 ≤ y ≤ 6

b)

0 ≤ y ≤ 6

c)

No Solution

d)

4 ≤ y ≤ 3

142.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

143.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

144.

Match

a)

y < x−2
y < 3

b)

y > -x+2
y > 3

c)

y < -x+2
y < 3

d)

y < -x+2
y > 3

145.

Which point is a solution?

a)

(0, 6)

b)

(-3, 5)

c)

(1, 0)

d)

(-4, 3)

146.

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!

a)

(0, 0)

b)

(2, 1)

c)

(2, 2)

d)

(-1, 1)

147.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

148.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

149.

Which point is not a solution?

a)

(1, 6)

b)

(-1, 1)

c)

(3, -2)

d)

(5, 0)

150.

Which point is a solution?

a)

(0, 6)

b)

(-3, 5)

c)

(1, 0)

d)

(-4, 3)

151.

The individual numbers in a sequences are called...

a)

Common difference

b)

Successive term

c)

Term

d)

Geometric term

152.

Which kind of sequence has a common ratio?

a)

Arithmetic

b)

Geometric

153.

Which kind of sequence has a common difference?

a)

Arithmetic

b)

Geometric

154.

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

a)

Arithmetic

b)

Geometric

c)

Neither

155.

Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }

a)

Arithmetic

b)

Geometric

c)

Neither

156.

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

a)

8

b)

11

c)

-11

d)

-8

157.

What is the common ratio: 5, 25, 125, 625...

a)

25

b)

20

c)

5

d)

4

158.

Which sequence is an arithmetic sequence?

a)

3, 6, 2, 7, ...

b)

3, 6, 12, 24, ...

c)

3, 6, 10, 15, ...

d)

3, 7, 11, 15, ...

159.

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a_{7 (7th term)}?

a)

-13

b)

-11

c)

-18

d)

-22

160.

Create the explicit formula for the arithmetic sequence: 2, 8, 14, ...

a)

a_n=2+6(n-1)

b)

a_n=2+6^(n-1)

c)

a_n=6(n-2)

d)

a_n=14-6(n - 1)

161.

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

162.

What is a_{5 (5th term)} in the sequence defined as follows? a_n = 5 ⋅ 2^(n-1)

a)

a₅ = 160

b)

a₅ = 40

c)

a₅ = 10

d)

a₅ = 80

163.

What is the explicit rule for the geometric sequence: 11, 22, 44, 88...

a)

a_n = 2(11)^n-1

b)

a_n = 11(2)

c)

a_n = 11(2)^n-1

164.

What is the 38th term of this arithmetic sequence? {26, 22, 18, 14, ... }

a)

-4

b)

10

c)

-122

d)

174

165.

What is the common ratio of this sequence?
{2, 10, 50, 250, ... }

a)

1,250

b)

5

c)

10

d)

50

166.

Write the explicit formula for the sequence.

9, 5, 1, -3, ...

a)

$a_n=9+5\left(n-1\right)$

b)

$a_n=9-4\left(n-1\right)$

c)

$a_n=4+9\left(n-1\right)$

d)

$a_n=9\cdot4^{\left(n-1\right)}$

167.

Write the explicit formula for the sequence.

216, 72, 24, 8, ...

a)

$a_n=216\cdot\left(\frac{1}{3}\right)^{\left(n-1\right)}$

b)

$a_n=8\cdot3^{\left(n-1\right)}$

c)

$a_n=216-144\left(n-1\right)$

d)

$a_n=216\cdot3^{\left(n-1\right)}$

168.

What is the next term in the sequence 12, 31, 40, 49, ... ?

a)

56

b)

57

c)

58

d)

59

169.

What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?

a)

63

b)

39

c)

69

d)

36

170.

The numbers 0, 1, 2, 3, ... are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

171.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

172.

A rational number can be written as a fraction.

a)

True

b)

False

173.

-10 is a whole number

a)

True

b)

False

174.

-3.5 is an integer

a)

True

b)

False

175.

Which statement is true?

a)

Every rational number is an integer

b)

Every whole number is a counting number

c)

Every integer is a whole number

d)

Every whole number is a rational number

176.

Which description best describes an irrational number?

a)

A repeating decimal

b)

An improper fraction

c)

A non-repeating, non-terminating decimal

d)

A perfect square

177.

Which of the following is rational?

a)

√9

b)

√2

c)

√3

d)

√55

178.

Is √2 rational or irrational?

a)

Rational

b)

Irrational

179.

Which of the following is rational?

a)

√2

b)

√150

c)

√144

d)

√10

180.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

181.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

182.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

183.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

184.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

185.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

186.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

187.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

188.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Sometimes rational, sometimes irrational; The sum of two irrationals is sometimes rational, sometimes irrational.

c)

Rational; The product of two rationals is always rational.

d)

Sometimes rational, sometimes irrational; The product of two irrationals is sometimes rational, sometimes irrational

189.

Is the result rational or irrational? Explain.

a)

Rational; The sum of two rationals is always rational.

b)

Irrational; The sum of a rational and an irrational is always irrational.

c)

Rational; The product of two rationals is always rational.

d)

Irrational; The product of a nonzero rational and an irrational is always irrational.

Semester 1 Final

Total questions: 189

Worksheet time: 10hrs 1mins

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