Write the best-fit linear model for the data. -The ages and lengths of several animals of the same species are recorded in the following table: $\begin{array}{c|c} \text { Age (months) } & \text { Length (inches) } \\ \hline 12 & 10 \\ \hline 15 & 11 \\ \hline 17 & 17 \\ \hline 21 & 23 \\ \hline 26 & 23 \\ \hline 28 & 24 \\ \hline 32 & 32 \\ \hline 38 & 40 \\ \hline 41 & 38 \end{array}$ Find the linear function to model this data.

A) $y = 2.18 x - 1.03$ B) $\mathrm { y } = 0.93 \mathrm { x } - 1.18$ C) $y = 1.03 x - 2.18$ D) $y = 0.93 x + 2.18$ A) $y = 2.18 x - 1.03$ B) $\mathrm { y } = 0.93 \mathrm { x } - 1.18$ C) $y = 1.03 x - 2.18$ D) $y = 0.93 x + 2.18$

Give the coordinates of the point of intersection of the linear equations. -\[\begin{array} { l } 2 x + y = 2 \\ 3 x + 2 y = 2 \end{array}\]

A) $( 0 , - 2 )$ B) $( 2,0 )$ C) $( 2 , - 2 )$ D) $( - 2,2 )$ A) $( 0 , - 2 )$ B) $( 2,0 )$ C) $( 2 , - 2 )$ D) $( - 2,2 )$

Exam 2: Linear Models, Equations, and Inequalities

The table below gives the quantity of a product demanded and the quantity supplied for various prices. Solve the problem. -Find the linear equation that gives the price as a function of the quantity demanded. Price (dollars) Quantity Demanded Quantity Supplied 100 850 0 120 830 30 140 810 60 160 790 90 180 770 120

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Question 41

Use the data shown in the scatter plot to determine whether the data should be modeled by a linear function. -

(Multiple Choice)

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Question 42

Solve the formula for the specified variable. - $\mathrm { S } = 2 \pi \mathrm { rh } + 2 \pi \mathrm { r } ^ { 2 }$ for $h$

(Multiple Choice)

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Question 43

Solve the equation for y. -Suppose the sales of a particular brand of appliance satisfy the relationship $S ( x ) = 80 x + 3600$ , where $S ( x )$ represents the number of sales in year $x$ , with $x = 0$ corresponding to 2010 . In what year would the sales be $4320 ?$

(Multiple Choice)

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Question 44

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - x 24 26 28 30 32 y 15 13 20 16 24

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Question 45

Solve the inequality graphically. Give the solution in interval notation. -Use the $x$ -intercept method to solve $- 3 ( x - 1 ) < 3 ( 3 x - 2 )$ .

(Multiple Choice)

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Question 46

Write the best-fit linear model for the data. -Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below. Find the linear function to model this data. Performance 59 63 65 69 58 77 76 69 70 64 2-9 Attitude 72 67 78 82 75 87 92 83 87 78

(Multiple Choice)

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Question 47

Solve the double inequality. - $5 < 2 a + 5 \leq 13$

(Multiple Choice)

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Question 48

Solve the inequality and draw a number line graph of the solution. - $5 z + 2 > 4 z + 3$

(Multiple Choice)

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Question 49

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - x 2 3 7 8 10 3 4 4 5 6

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Question 50

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - 3 5 7 15 16 8 11 7 14 20

(Multiple Choice)

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Question 51

Solve the double inequality. - $- 24 \leq \frac { - 3 - 5 x } { 2 } \leq - 14$

(Multiple Choice)

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Question 52

Solve the system of equations graphically, if a solution exists. - \[\begin{array} { l } 3 x + 2 y = 14 \\ - 2 x + 3 y = 8 $Solve the system of equations graphically, if a solution exists. - \[\begin{array} { l } 3 x + 2 y = 14 \\ - 2 x + 3 y = 8$

(Multiple Choice)

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Question 53

Write the best-fit linear model for the data. -The ages and lengths of several animals of the same species are recorded in the following table: Age (months) Length (inches) 12 10 15 11 17 17 21 23 26 23 28 24 32 32 38 40 41 38 Find the linear function to model this data.

(Multiple Choice)

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Question 54

Give the coordinates of the point of intersection of the linear equations. - 2x+y=2 3x+2y=2

(Multiple Choice)

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Question 55

Construct a scatter plot of the data in the table. - -14 4 6 9 11 16 -5 -2 -12 3 5 6 11 7 7 7 2 2 $Construct a scatter plot of the data in the table. - \begin{array}{r|r|r|r|r|r|r|r|r|r} \mathrm{x} & -14 & 4 & 6 & 9 & 11 & 16 & -5 & -2 & -12 \\ \hline \mathrm{y} & 3 & 5 & 6 & 11 & 7 & 7 & 7 & 2 & 2 \end{array}$

(Multiple Choice)

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Question 56

Provide an appropriate response. -Under what conditions must the inequality symbol be reversed when solving an inequality?

(Essay)

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Question 57

Write the best-fit linear model for the data. -The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). Find a linear function that approximates the number of products sold as a function of the cost of advertising. Cost 9 2 3 4 2 5 9 10 Number 85 52 55 68 67 86 83 73

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Question 58

Use the data shown in the scatter plot to determine whether the data should be modeled by a linear function. -

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Question 59

Solve the equation. - $3 ( 2 z - 3 ) = 5 ( z + 4 )$

(Multiple Choice)

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Question 60

Use the data shown in the scatter plot to determine whether the data should be modeled by a linear function. -

Solve the formula for the specified variable. - $\mathrm { S } = 2 \pi \mathrm { rh } + 2 \pi \mathrm { r } ^ { 2 }$ for $h$

Solve the equation for y. -Suppose the sales of a particular brand of appliance satisfy the relationship $S ( x ) = 80 x + 3600$ , where $S ( x )$ represents the number of sales in year $x$ , with $x = 0$ corresponding to 2010 . In what year would the sales be $4320 ?$

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - x 24 26 28 30 32 y 15 13 20 16 24

Solve the inequality graphically. Give the solution in interval notation. -Use the $x$ -intercept method to solve $- 3 ( x - 1 ) < 3 ( 3 x - 2 )$ .

Solve the double inequality. - $5 < 2 a + 5 \leq 13$

Solve the inequality and draw a number line graph of the solution. - $5 z + 2 > 4 z + 3$

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - x 2 3 7 8 10 3 4 4 5 6

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - 3 5 7 15 16 8 11 7 14 20

Solve the double inequality. - $- 24 \leq \frac { - 3 - 5 x } { 2 } \leq - 14$

Solve the system of equations graphically, if a solution exists. - \[\begin{array} { l } 3 x + 2 y = 14 \\ - 2 x + 3 y = 8 $Solve the system of equations graphically, if a solution exists. - \[\begin{array} { l } 3 x + 2 y = 14 \\ - 2 x + 3 y = 8$

Write the best-fit linear model for the data. -The ages and lengths of several animals of the same species are recorded in the following table: Age (months) Length (inches) 12 10 15 11 17 17 21 23 26 23 28 24 32 32 38 40 41 38 Find the linear function to model this data.

Give the coordinates of the point of intersection of the linear equations. - 2x+y=2 3x+2y=2

Provide an appropriate response. -Under what conditions must the inequality symbol be reversed when solving an inequality?

Use the data shown in the scatter plot to determine whether the data should be modeled by a linear function. -

Solve the equation. - $3 ( 2 z - 3 ) = 5 ( z + 4 )$

Functions, Graphs, and Models; Linear Functions

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Exam 2: Linear Models, Equations, and Inequalities

Use the data shown in the scatter plot to determine whether the data should be modeled by a linear function. -

Solve the formula for the specified variable. - S=2πrh+2πr2\mathrm { S } = 2 \pi \mathrm { rh } + 2 \pi \mathrm { r } ^ { 2 }S=2πrh+2πr2 for hhh

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - x 24 26 28 30 32 y 15 13 20 16 24

Solve the inequality graphically. Give the solution in interval notation. -Use the xxx -intercept method to solve −3(x−1)<3(3x−2)- 3 ( x - 1 ) < 3 ( 3 x - 2 )−3(x−1)<3(3x−2) .

Solve the double inequality. - 5<2a+5≤135 < 2 a + 5 \leq 135<2a+5≤13

Solve the inequality and draw a number line graph of the solution. - 5z+2>4z+35 z + 2 > 4 z + 35z+2>4z+3

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - x 2 3 7 8 10 3 4 4 5 6

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - 3 5 7 15 16 8 11 7 14 20

Solve the double inequality. - −24≤−3−5x2≤−14- 24 \leq \frac { - 3 - 5 x } { 2 } \leq - 14−24≤2−3−5x​≤−14

Solve the system of equations graphically, if a solution exists. - \[\begin{array} { l } 3 x + 2 y = 14 \\ - 2 x + 3 y = 8

Write the best-fit linear model for the data. -The ages and lengths of several animals of the same species are recorded in the following table: Age (months) Length (inches) 12 10 15 11 17 17 21 23 26 23 28 24 32 32 38 40 41 38 Find the linear function to model this data.

Give the coordinates of the point of intersection of the linear equations. - 2x+y=2 3x+2y=2

Construct a scatter plot of the data in the table. - -14 4 6 9 11 16 -5 -2 -12 3 5 6 11 7 7 7 2 2

Provide an appropriate response. -Under what conditions must the inequality symbol be reversed when solving an inequality?

Use the data shown in the scatter plot to determine whether the data should be modeled by a linear function. -

Solve the equation. - 3(2z−3)=5(z+4)3 ( 2 z - 3 ) = 5 ( z + 4 )3(2z−3)=5(z+4)

Functions, Graphs, and Models; Linear Functions

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Solve the formula for the specified variable. - $\mathrm { S } = 2 \pi \mathrm { rh } + 2 \pi \mathrm { r } ^ { 2 }$ for $h$

Solve the inequality graphically. Give the solution in interval notation. -Use the $x$ -intercept method to solve $- 3 ( x - 1 ) < 3 ( 3 x - 2 )$ .

Solve the double inequality. - $5 < 2 a + 5 \leq 13$

Solve the inequality and draw a number line graph of the solution. - $5 z + 2 > 4 z + 3$

Solve the double inequality. - $- 24 \leq \frac { - 3 - 5 x } { 2 } \leq - 14$

Solve the system of equations graphically, if a solution exists. - \[\begin{array} { l } 3 x + 2 y = 14 \\ - 2 x + 3 y = 8 $Solve the system of equations graphically, if a solution exists. - \[\begin{array} { l } 3 x + 2 y = 14 \\ - 2 x + 3 y = 8$

Solve the equation. - $3 ( 2 z - 3 ) = 5 ( z + 4 )$