Question 1

Provide an appropriate response.
-In solving the inequality $5 x \leq - 45$ , would you have to reverse the inequality symbol? Explain why.

Accepted Answer

No, since you don't have to di

Question 2

Find the zero of f(x).
-$$f ( x ) = 9 x$$

Accepted Answer

A)  0 
B)  does not exist 
C)  9 
D)  $- 9$ 
A)  0 
B)  does not exist 
C)  9 
D)  $- 9$

Question 3

Translate the sentence to an algebraic inequality.
-Jim has gotten scores of 61 and 82 on his first two tests. What score must he get on his third test to keep an average of 80 or greater?

Accepted Answer

A)  At least 74.3 
B)  At least 71.5 
C)  At least 97 
D)  At least 96 
A)  At least 74.3 
B)  At least 71.5 
C)  At least 97 
D)  At least 96

Question 4

Solve the system of equations by substitution, if a solution exists.
-$$\left\{ \begin{array} { l } 
x + y = - 3 \
x + y = 1
\end{array} \right.$$

Accepted Answer

A)  $x = - 3 , y = 1$ 
B)  $x = 0 , y = - 2$ 
C)  $x = 1 , y = - 3$ 
D)  No solution 
A)  $x = - 3 , y = 1$ 
B)  $x = 0 , y = - 2$ 
C)  $x = 1 , y = - 3$ 
D)  No solution

Question 5

Translate the sentence to an algebraic inequality.
-The score on a test was between 82 and 70.

Accepted Answer

A)  $x  70$ 
D)  $70 < \mathrm { x } < 82$ 
A)  $x  70$ 
D)  $70 < \mathrm { x } < 82$

Question 6

To find the number of units that gives break-even for the product, solve the equation R $$\mathbf { R } = \mathbf { C }$$ ound your answer to the
nearest whole unit.
-Nadine sold two kinds of tickets to her class play. Student tickets cost $4.00 each, and adult tickets cost $6.50 each. If Nadine sold a total of 37 tickets for $193.00, how many student tickets did she sell?

Accepted Answer

A)  23 tickets 
B)  18 tickets 
C)  21 tickets 
D)  19 tickets 
A)  23 tickets 
B)  18 tickets 
C)  21 tickets 
D)  19 tickets

Question 7

Solve the formula for the specified variable.
-$I = \frac { n E } { n r + R }$ for $n$

Accepted Answer

A)  $n = \operatorname { IR } ( \operatorname { Ir } - \mathrm { E } )$ 
B)  $n = \frac { - R } { I r - E }$ 
C)  $n = \frac { - I R } { I r - E }$ 
D)  $n = \frac { I R } { I r + E }$ 
A)  $n = \operatorname { IR } ( \operatorname { Ir } - \mathrm { E } )$ 
B)  $n = \frac { - R } { I r - E }$ 
C)  $n = \frac { - I R } { I r - E }$ 
D)  $n = \frac { I R } { I r + E }$

Question 8

Give the coordinates of the point of intersection of the linear equations.
-$$\begin{array} { l } 
x + y = - 11 \
x - y = - 1
\end{array}$$

Accepted Answer

A)  $( - 5 , - 5 )$ 
B)  $( - 6 , - 5 )$ 
C)  $( - 6 , - 6 )$ 
D)  $( - 5 , - 6 )$ 
A)  $( - 5 , - 5 )$ 
B)  $( - 6 , - 5 )$ 
C)  $( - 6 , - 6 )$ 
D)  $( - 5 , - 6 )$

Question 9

Solve the formula for the specified variable.
-$a + b = s + r$ for $r$

Accepted Answer

A)  $r = a + b - s$ 
B)  $r = s ( a + b )$ 
C)  $r = \frac { a } { s } + b$ 
D)  $r = \frac { a + b } { s }$ 
A)  $r = a + b - s$ 
B)  $r = s ( a + b )$ 
C)  $r = \frac { a } { s } + b$ 
D)  $r = \frac { a + b } { s }$

Question 10

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if
necessary.
-$\begin{array}{c|ccccc}
\mathrm{x} & 1 & 3 & 5 & 7 & 9 \
\hline \mathrm{y} & 143 & 116 & 100 & 98 & 90
\end{array}$

Accepted Answer

A)  $y = 6.8 x - 150.7$ 
B)  $y = - 6.2 x + 140.4$ 
C)  $y = - 6.8 x + 150.7$ 
D)  $y = 6.2 x - 140.4$ 
A)  $y = 6.8 x - 150.7$ 
B)  $y = - 6.2 x + 140.4$ 
C)  $y = - 6.8 x + 150.7$ 
D)  $y = 6.2 x - 140.4$

Question 11

Solve the formula for the specified variable.
-$V = \frac { 1 } { 3 } B h$ for $h$

Accepted Answer

A)  $h = \frac { V } { 3 B }$ 
B)  $h = \frac { B } { 3 V }$ 
C) $\mathrm {  } h = \frac { 3 \mathrm {~B} } { \mathrm {~V} }$ 
D)  $h = \frac { 3 V } { B }$ 
A)  $h = \frac { V } { 3 B }$ 
B)  $h = \frac { B } { 3 V }$ 
C) $\mathrm {  } h = \frac { 3 \mathrm {~B} } { \mathrm {~V} }$ 
D)  $h = \frac { 3 V } { B }$

Question 12

Solve the inequality and draw a number line graph of the solution.
-$42 a + 18 > 6 ( 6 a + 11 )$

Accepted Answer

A) $x > 42$ B) $x > 8$ C) $x < 42$ D) $x < 8$ A) $x > 42$ B) $x > 8$ C) $x < 42$ D) $x < 8$

Question 13

Solve the equation for y.
-A repair company's charge for repairing a certain type of copy machine fits the model y = 47.38 + 0.617x where y is the number of dollars charged and x is the number of minutes the repair person is on the job. How many
Minutes would it take for the cost of repair to reach $120? (Round to the nearest minute.)

Accepted Answer

A)  187 min 
B)  118 min 
C)  271 min 
D)  12 min 
A)  187 min 
B)  118 min 
C)  271 min 
D)  12 min

Question 14

Write the best-fit linear model for the data.
-A pediatric speech therapist started her own practice in 2000. The table below shows the number of children she treated each year from 2004 to 2012. Align the data to the number of years past 2004 and fit a linear model
To the data. $\begin{array}{r|ccccccccc}
\text { Year } & 2004 & 2005 & 2006 & 2007 & 2008 & 2009 & 2010 & 2011 & 2012 \
\hline \text { Number of Patients } & 11 & 15 & 16 & 20 & 23 & 25 & 29 & 34 & 37
\end{array}$

Accepted Answer

A)  $y = 10.53 x + 3.2$ 
B)  $y = 2 x + 11$ 
C)  $y = 3.2 x + 10.53$ 
D)  $y = 11 x + 2$ 
A)  $y = 10.53 x + 3.2$ 
B)  $y = 2 x + 11$ 
C)  $y = 3.2 x + 10.53$ 
D)  $y = 11 x + 2$

Question 15

Provide an appropriate response.
-$\text { If } a \leq b \text {, is it always true that } a ^ { 2 } \leq b ^ { 2 }$ ? Explain.

Accepted Answer

Explanations will vary. One po

Question 16

Solve the equation for y.
-Mark has $75 to spend on salmon at $5.00 per pound and/or chicken at $3.00 per pound. If he buys s pounds of salmon and c pounds of chicken, the equation 5s $$5 s + 3 c = 75$$ must be satisfied. How much salmon did Mark buy if
He bought 5 pounds of chicken?

Accepted Answer

A)  17 lb 
B)  16 lb 
C)  19 lb 
D)  12 lb 
A)  17 lb 
B)  16 lb 
C)  19 lb 
D)  12 lb

Question 17

Solve the equation.
-$$\frac { 1 } { 2 } y - \left( y - \frac { 1 } { 2 } \right) = \frac { 1 } { 32 } ( y + 5 )$$

Accepted Answer

A)  $\frac { 11 } { 17 }$ 
B)  $\frac { 11 } { 15 }$ 
C)  $- \frac { 21 } { 17 }$ 
D)  $- \frac { 11 } { 47 }$ 
A)  $\frac { 11 } { 17 }$ 
B)  $\frac { 11 } { 15 }$ 
C)  $- \frac { 21 } { 17 }$ 
D)  $- \frac { 11 } { 47 }$

Question 18

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if
necessary.
-$\begin{array}{l|lllll}
\mathrm{x} & 0 & 3 & 4 & 5 & 12 \
\hline \mathrm{y} & 8 & 2 & 6 & 9 & 12
\end{array}$

Accepted Answer

A)  $y = 0.43 x + 4.98$ 
B)  $y = 0.53 x + 4.88$ 
C)  $y = 0.73 x + 4.98$ 
D)  $y = 0.63 x + 4.88$ 
A)  $y = 0.43 x + 4.98$ 
B)  $y = 0.53 x + 4.88$ 
C)  $y = 0.73 x + 4.98$ 
D)  $y = 0.63 x + 4.88$

Question 19

Solve the equation.
-$$21 s + 40 = - 4 s$$

Accepted Answer

A)  $\frac { 8 } { 5 }$ 
B)  $- \frac { 8 } { 5 }$ 
C)  $\frac { 40 } { 17 }$ 
D)  $\frac { 5 } { 8 }$ 
A)  $\frac { 8 } { 5 }$ 
B)  $- \frac { 8 } { 5 }$ 
C)  $\frac { 40 } { 17 }$ 
D)  $\frac { 5 } { 8 }$

Question 20

Provide an appropriate response.
-A pediatric speech therapist started her own practice in 2004. The function y $y = 3.2 x + 10.53$ odels the number of patients she treated each year, where x is the number of years after 2004. The model was found using data for
The years between 2004 and 2012. What does the model estimate as the number of patients in 2009? Round to
The nearest whole number. Is this interpolation or extrapolation?

Accepted Answer

A)  27; interpolation 
B)  25; extrapolation 
C)  29; interpolation 
D)  27; extrapolation 
A)  27; interpolation 
B)  25; extrapolation 
C)  29; interpolation 
D)  27; extrapolation

Provide an appropriate response. -In solving the inequality $5 x \leq - 45$ , would you have to reverse the inequality symbol? Explain why.

Find the zero of f(x). - $f ( x ) = 9 x$

Translate the sentence to an algebraic inequality. -Jim has gotten scores of 61 and 82 on his first two tests. What score must he get on his third test to keep an average of 80 or greater?

Solve the system of equations by substitution, if a solution exists. - $\left\{ \begin{array} { l } x + y = - 3 \\x + y = 1\end{array} \right.$

Translate the sentence to an algebraic inequality. -The score on a test was between 82 and 70.

Solve the formula for the specified variable. - $I = \frac { n E } { n r + R }$ for $n$

Give the coordinates of the point of intersection of the linear equations. - x+y=-11 x-y=-1

Solve the formula for the specified variable. - $a + b = s + r$ for $r$

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - 1 3 5 7 9 143 116 100 98 90

Solve the formula for the specified variable. - $V = \frac { 1 } { 3 } B h$ for $h$

Solve the inequality and draw a number line graph of the solution. - $42 a + 18 > 6 ( 6 a + 11 )$

Provide an appropriate response. - $\text { If } a \leq b \text {, is it always true that } a ^ { 2 } \leq b ^ { 2 }$ ? Explain.

Solve the equation for y. -Mark has $75 to spend on salmon at $5.00 per pound and/or chicken at $3.00 per pound. If he buys s pounds of salmon and c pounds of chicken, the equation 5s $5 s + 3 c = 75$ must be satisfied. How much salmon did Mark buy if He bought 5 pounds of chicken?

Solve the equation. - $\frac { 1 } { 2 } y - \left( y - \frac { 1 } { 2 } \right) = \frac { 1 } { 32 } ( y + 5 )$

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - 0 3 4 5 12 8 2 6 9 12

Solve the equation. - $21 s + 40 = - 4 s$

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

Provide an appropriate response. -In solving the inequality 5x≤−455 x \leq - 455x≤−45 , would you have to reverse the inequality symbol? Explain why.

Find the zero of f(x). - f(x)=9xf ( x ) = 9 xf(x)=9x