# Quiz 2: Solving Equations and Inequalities

Mathematics

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Q 10Q 10

Simplify and write the answer in standard form.
A)
B)
C)
D) The expression cannot be simplified.
E)

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Q 23Q 23

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied. Force, F
Elongation, d
20
3)5
40
6)3
60
10)0
80
13)3
100
16)5
Sketch a scatter plot of the data.
A)
B)
C)
D)
E)

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Q 24Q 24

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied. Force, F
Elongation, d
20
1)4
40
2)5
60
4)0
80
5)3
100
6)6
Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 70 kilograms is applied. Round your answer to one decimal place.
A) 2.3 centimeters
B) 4.6 centimeters
C) 6.9 centimeters
D) 9.2 centimeters
E) 3.5 centimeters

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Q 25Q 25

The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below. Use the regression feature of a graphing utility to find a linear model for the data. Let t represent the year, with t = 9 corresponding to 1999. Use the model to predict the average lengths of cellular phone calls for the year 2012. Round your answer to two decimal places.
A) 5.00 minutes
B) 8.00 minutes
C) 4.00 minutes
D) 2.00 minutes
E) 3.00 minutes

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Q 35Q 35

Simplify and write the answer in standard form.
A)
B) The expression cannot be simplified.
C)
D)
E)

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Q 48Q 48

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied. Force, F
Elongation, d
20
1)4
40
2)5
60
4)0
80
5)3
100
6)6
Sketch a scatter plot of the data.
A)
B)
C)
D)
E)

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Q 49Q 49

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied. Force, F
Elongation, d
20
3)5
40
6)3
60
10)0
80
13)3
100
16)5
Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 35 kilograms is applied. Round your answer to one decimal place.
A) 2.9 centimeters
B) 8.7 centimeters
C) 4.4 centimeters
D) 5.8 centimeters
E) 11.6 centimeters

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Q 50Q 50

The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below. Use the regression feature of a graphing utility to find a linear model for the data. Let t represent the year, with t = 9 corresponding to 1999. Use the model to predict the average lengths of cellular phone calls for the year 2006. Round your answer to two decimal places.
A) 6.54 minutes
B) 1.64 minutes
C) 2.27 minutes
D) 4.27 minutes
E) 3.27 minutes

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Q 60Q 60

Simplify and write the answer in standard form.
A)
B) The expression cannot be simplified.
C)
D)
E)

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Q 73Q 73

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied. Force, F
Elongation, d
20
2)1
40
3)8
60
6)0
80
8)0
100
9)9
Sketch a scatter plot of the data.
A)
B)
C)
D)
E)

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Q 74Q 74

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied. Force, F
Elongation, d
20
2)8
40
5)0
60
8)0
80
10)6
100
13)2
Find the equation of the line that seems to best fit the data. Use the model to estimate the elongation of the spring when a force of 30 kilograms is applied. Round your answer to one decimal place.
A) 6.0 centimeters
B) 4.0 centimeters
C) 8.0 centimeters
D) 3.0 centimeters
E) 2.0 centimeters

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Q 75Q 75

The average lengths L of cellular phone calls in minutes from 1999 to 2004 are shown in the table below. Use the regression feature of a graphing utility to find a linear model for the data. Let t represent the year, with t = 9 corresponding to 1999. Use the model to predict the average lengths of cellular phone calls for the year 2010. Round your answer to two decimal places.
A) 7.52 minutes
B) 2.76 minutes
C) 4.76 minutes
D) 1.88 minutes
E) 3.76 minutes

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Q 77Q 77

Solve for x, rounding your answer to the nearest thousandth.
A) -0.494
B) -0.033
C) 5.491
D) -0.365
E) 6.009

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Q 97Q 97

Determine the intervals on which the following polynomial is entirely negative and those on which it is entirely positive.
A) entirely negative: ; entirely positive:
,
B) entirely negative: ; entirely positive:
C) entirely negative: ,
; entirely positive:
D) entirely negative: ; entirely positive:
E) entirely negative: ,
; entirely positive:

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Q 99Q 99

Determine whether there is positive correlation, negative correlation, or no discernible correlation between the variables shown in the scatter plot below.
A) negative correlation
B) positive correlation
C) no discernable correlation

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Q 100Q 100

The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the variables.
A) no discernible correlation
B) negative correlation
C) positive correlation

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Q 102Q 102

Solve for x, rounding your answer to the nearest thousandth.
A) 0.003
B) 0.510
C) 0.061
D) -54.668
E) 6.525

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Q 122Q 122

Determine the intervals on which the following polynomial is entirely negative and those on which it is entirely positive.
A) entirely negative: ; entirely positive:
B) entirely negative: ,
; entirely positive:
C) entirely negative: ,
; entirely positive:
D) entirely negative: ; entirely positive:
,
E) entirely negative: ; entirely positive:

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Q 124Q 124

Determine whether there is positive correlation, negative correlation, or no discernible correlation between the variables shown in the scatter plot below.
A) positive correlation
B) negative correlation
C) no discernable correlation

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Q 125Q 125

The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the variables.
A) negative correlation
B) no discernible correlation
C) positive correlation

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Q 127Q 127

Solve for x, rounding your answer to the nearest thousandth.
A) 0.003
B) 0.510
C) 0.061
D) -54.668
E) 6.525

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Q 147Q 147

Determine the intervals on which the following polynomial is entirely negative and those on which it is entirely positive.
A) entirely negative: ; entirely positive:
B) entirely negative: ,
; entirely positive:
C) entirely negative: ,
; entirely positive:
D) entirely negative: ; entirely positive:
,
E) entirely negative: ; entirely positive:

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Q 149Q 149

Determine whether there is positive correlation, negative correlation, or no discernible correlation between the variables shown in the scatter plot below.
A) positive correlation
B) negative correlation
C) no discernable correlation

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Q 150Q 150

The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the variables.
A) negative correlation
B) no discernible correlation
C) positive correlation

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