Question 1

Solve the system of equations $$\begin{array} { l } 
6.52 x + 15.84 y - 5.88 = 0 \
5.72 x = 7.73 - 15.42 y
\end{array}$$

Accepted Answer

A)  $x = - 3.2$ and $y = 1.69$ 
B)  $x = 1.69$ and $y = - 3.2$ 
C)  $x = - 2.77$ and $y = 2.63$ 
D)  $x = 2.63$ and $y = - 2.77$ 
A)  $x = - 3.2$ and $y = 1.69$ 
B)  $x = 1.69$ and $y = - 3.2$ 
C)  $x = - 2.77$ and $y = 2.63$ 
D)  $x = 2.63$ and $y = - 2.77$ A

Question 2

Suppose $f$ is a linear function of $x$ . The slope is 2.42. An increase of 6 units in $x$ causes what change in $f$ ?

Accepted Answer

A)  A decrease of 14.52 units 
B)  An increase of 14.52 units 
C)  An increase of 2.48 units 
D)  A decrease of 2.48 units 
A)  A decrease of 14.52 units 
B)  An increase of 14.52 units 
C)  An increase of 2.48 units 
D)  A decrease of 2.48 units B

Question 3

Solve the equation $7 x + 6 y - 3 = 0$ for $y$ .

Accepted Answer

A)  $y = \frac { 3 - 7 x } { 6 }$ or $y = 0.5 - 1.17 x$ 
B)  $y = \frac { 3 + 7 x } { 6 }$ or $y = 0.5 + 1.17 x$ 
C)  $y = \frac { 7 x - 3 } { 6 }$ or $y = 1.17 x - 7$ 
D)  None of the above. 
A)  $y = \frac { 3 - 7 x } { 6 }$ or $y = 0.5 - 1.17 x$ 
B)  $y = \frac { 3 + 7 x } { 6 }$ or $y = 0.5 + 1.17 x$ 
C)  $y = \frac { 7 x - 3 } { 6 }$ or $y = 1.17 x - 7$ 
D)  None of the above. A

Question 4

Solve the system of equations $$\begin{array} { l } 
6.26 x + 14.82 y - 7.79 = 0 \
9.49 x = 7.25 - 15.7 y
\end{array}$$

Accepted Answer

A)  $x = - 0.35$ and $y = 0.67$ 
B)  $x = 0.67$ and $y = - 0.35$ 
C)  $x = - 0.27$ and $y = 0.89$ 
D)  $x = 0.89$ and $y = - 0.27$ 
A)  $x = - 0.35$ and $y = 0.67$ 
B)  $x = 0.67$ and $y = - 0.35$ 
C)  $x = - 0.27$ and $y = 0.89$ 
D)  $x = 0.89$ and $y = - 0.27$

Question 5

Find a linear model for the following data table.

Accepted Answer

A)  $y = 1.67 x + 3.33$ 
B)  $y = 3.33 x + 1.67$ 
C)  $y = 5 x + 0$ 
D)  $y = 0 x + 5$ 
A)  $y = 1.67 x + 3.33$ 
B)  $y = 3.33 x + 1.67$ 
C)  $y = 5 x + 0$ 
D)  $y = 0 x + 5$

Question 6

At the outside wall the roof is 10 feet high. Also, 4 horizontal feet from the outside wall to- ward the interior of the room, the roof is 13 feet tall. If the roof is extended beyond the outside wall, what is
The height of the roof 5 horizontal feet from the outside wall toward the exterior of the room?

Accepted Answer

A)  6.9 feet 
B)  8.46 feet 
C)  6.25 feet 
D)  9.22 feet 
A)  6.9 feet 
B)  8.46 feet 
C)  6.25 feet 
D)  9.22 feet

Question 7

The figure below shows a simplified pattern for a wrap skirt that is 20 inches long and has a top hem of 57 inches. The bottom hem has a length of 63 inches. Suppose you decide to alter the pattern to
Make a wrap skirt with the same top hem length but a length of 25 inches. How long should be the bottom
Hem?

Accepted Answer

A)  64.94 inches 
B)  63.75 inches 
C)  63.43 inches 
D)  64.5 inches 
A)  64.94 inches 
B)  63.75 inches 
C)  63.43 inches 
D)  64.5 inches

Question 8

At a distance 6 miles west of town, oil-bearing deposits are found 3027 feet deep. Also, 10 miles west of town, the oil is found 3221 feet down. Assuming the oil-bearing stratum lies on a straight line,
How deep would you expect to drill 11 miles west of town in order to find oil?

Accepted Answer

A)  3075.5 feet 
B)  3075.59 feet 
C)  3269.85 feet 
D)  3269.5 feet 
A)  3075.5 feet 
B)  3075.59 feet 
C)  3269.85 feet 
D)  3269.5 feet

Question 9

Solve the equation $3.65 x - 2.31 y = 9.21$ for $y$ .

Accepted Answer

A)  $y = \frac { 9.21 - 3.65 x } { 2.31 }$ or $y = 3.99 - 1.58 x$ 
B)  $y = \frac { 9.21 + 3.65 x } { 2.31 }$ or $y = 3.99 + 1.58 x$ 
C)  $y = \frac { 3.65 x - 9.21 } { 2.31 }$ or $y = 1.58 x - 3.99$ 
D)  None of the above. 
A)  $y = \frac { 9.21 - 3.65 x } { 2.31 }$ or $y = 3.99 - 1.58 x$ 
B)  $y = \frac { 9.21 + 3.65 x } { 2.31 }$ or $y = 3.99 + 1.58 x$ 
C)  $y = \frac { 3.65 x - 9.21 } { 2.31 }$ or $y = 1.58 x - 3.99$ 
D)  None of the above.

Question 10

A line through (5, 6) has slope 0.47. What is the vertical intercept?

Accepted Answer

A)  -7.58 
B)  3.65 
C)  3.71 
D)  -7.77 
A)  -7.58 
B)  3.65 
C)  3.71 
D)  -7.77

Question 11

Solve the equation $5.36 x - 8.69 y = 5.74$ for $y$ .

Accepted Answer

A)  $y = \frac { 5.74 - 5.36 x } { 8.69 }$ or $y = 0.66 - 0.62 x$ 
B)  $y = \frac { 5.74 + 5.36 x } { 8.69 }$ or $y = 0.66 + 0.62 x$ 
C)  $y = \frac { 5.36 x - 5.74 } { 8.69 }$ or $y = 0.62 x - 0.66$ 
D)  None of the above. 
A)  $y = \frac { 5.74 - 5.36 x } { 8.69 }$ or $y = 0.66 - 0.62 x$ 
B)  $y = \frac { 5.74 + 5.36 x } { 8.69 }$ or $y = 0.66 + 0.62 x$ 
C)  $y = \frac { 5.36 x - 5.74 } { 8.69 }$ or $y = 0.62 x - 0.66$ 
D)  None of the above.

Question 12

The sales tax $T$ , in dollars, I have to pay when I buy D dollars worth of merchandise is giv- en by $T = 0.09 D$ If I decide to buy $35 more in merchandise, how much additional sales tax will I have to pay?

Accepted Answer

A)  $3.15 
B)  $3.44 
C)  $0.31 
D)  $0.09 
A)  $3.15 
B)  $3.44 
C)  $0.31 
D)  $0.09

Question 13

The figure below shows a simplified pattern for a wrap skirt that is 20 inches long and has a top hem of 57 inches. The bottom hem has a length of 63 inches. Suppose you decide to alter the pattern to
Make a wrap skirt with the same top hem length but a length of 24 inches. How long should be the bottom
Hem?

Accepted Answer

A)  64.65 inches 
B)  63.6 inches 
C)  63.19 inches 
D)  64.2 inches 
A)  64.65 inches 
B)  63.6 inches 
C)  63.19 inches 
D)  64.2 inches

Question 14

Suppose $f$ is a linear function of $x$ . The slope is 2.44. An increase of 6 units in $x$ causes what change in $f$ ?

Accepted Answer

A)  A decrease of 14.64 units 
B)  An increase of 14.64 units 
C)  An increase of 2.46 units 
D)  A decrease of 2.46 units 
A)  A decrease of 14.64 units 
B)  An increase of 14.64 units 
C)  An increase of 2.46 units 
D)  A decrease of 2.46 units

Question 15

Solve the system of equations $$\begin{array} { l } 
6.96 x + 18.8 y - 5.06 = 0 \
8.82 x = 7.56 - 15.66 y
\end{array}$$

Accepted Answer

A)  $x = 1.11$ and $y = - 0.14$ 
B)  $x = - 0.14$ and $y = 1.11$ 
C)  $x = 1.34$ and $y = 0.65$ 
D)  $x = 0.65$ and $y = 1.34$ 
A)  $x = 1.11$ and $y = - 0.14$ 
B)  $x = - 0.14$ and $y = 1.11$ 
C)  $x = 1.34$ and $y = 0.65$ 
D)  $x = 0.65$ and $y = 1.34$

Question 16

Suppose $f$ is a linear function of $x$ . The slope is 2.24. An increase of 6 units in $x$ causes what change in $f$ ?

Accepted Answer

A)  A decrease of 13.44 units 
B)  An increase of 13.44 units 
C)  An increase of 2.68 units 
D)  A decrease of 2.68 units 
A)  A decrease of 13.44 units 
B)  An increase of 13.44 units 
C)  An increase of 2.68 units 
D)  A decrease of 2.68 units

Question 17

A line through (5, 8) has slope 0.69. What is the vertical intercept?

Accepted Answer

A)  -6.4 
B)  4.55 
C)  5.38 
D)  -6.59 
A)  -6.4 
B)  4.55 
C)  5.38 
D)  -6.59

Question 18

The following table shows the running speed   , in feet per second, of animals of length L , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long. $$\begin{array} { | l | l | l | l | l | } 
\hline L & 3.5 & 6.3 & 9.4 & 9.8 \
\hline R & 8.22 & 15.78 & 24.02 & 24.93 \
\hline
\end{array}$$

Accepted Answer

A)  17.64 feet per second 
B)  36.33 feet per second 
C)  17.36 feet per second 
D)  36.19 feet per second 
A)  17.64 feet per second 
B)  36.33 feet per second 
C)  17.36 feet per second 
D)  36.19 feet per second

Question 19

Suppose $f$ is a linear function of $x$ . The slope is 2.16. An increase of 7 units in $x$ causes what change in $f$ ?

Accepted Answer

A)  A decrease of 15.12 units 
B)  An increase of 15.12 units 
C)  An increase of 3.24 units 
D)  A decrease of 3.24 units 
A)  A decrease of 15.12 units 
B)  An increase of 15.12 units 
C)  An increase of 3.24 units 
D)  A decrease of 3.24 units

Question 20

Solve the equation $$7 x + 3 y - 7 = 0$$ for $y$ .

Accepted Answer

A)  $y = \frac { 7 - 7 x } { 3 }$ or $y = 2.33 - 2.33 x$ 
B)  $y = \frac { 7 + 7 x } { 3 }$ or $y = 2.33 + 2.33 x$ 
C)  $y = \frac { 7 x - 7 } { 3 }$ or $y = 2.33 x - 7$ 
D)  None of the above. 
A)  $y = \frac { 7 - 7 x } { 3 }$ or $y = 2.33 - 2.33 x$ 
B)  $y = \frac { 7 + 7 x } { 3 }$ or $y = 2.33 + 2.33 x$ 
C)  $y = \frac { 7 x - 7 } { 3 }$ or $y = 2.33 x - 7$ 
D)  None of the above.

Solve the system of equations 6.52x+15.84y-5.88=0 5.72x=7.73-15.42y

Suppose $f$ is a linear function of $x$ . The slope is 2.42. An increase of 6 units in $x$ causes what change in $f$ ?

Solve the equation $7 x + 6 y - 3 = 0$ for $y$ .

Solve the system of equations 6.26x+14.82y-7.79=0 9.49x=7.25-15.7y

Find a linear model for the following data table.

At a distance 6 miles west of town, oil-bearing deposits are found 3027 feet deep. Also, 10 miles west of town, the oil is found 3221 feet down. Assuming the oil-bearing stratum lies on a straight line, How deep would you expect to drill 11 miles west of town in order to find oil?

Solve the equation $3.65 x - 2.31 y = 9.21$ for $y$ .

A line through (5, 6) has slope 0.47. What is the vertical intercept?

Solve the equation $5.36 x - 8.69 y = 5.74$ for $y$ .

The sales tax $T$ , in dollars, I have to pay when I buy D dollars worth of merchandise is giv- en by $T = 0.09 D$ If I decide to buy $35 more in merchandise, how much additional sales tax will I have to pay?

Suppose $f$ is a linear function of $x$ . The slope is 2.44. An increase of 6 units in $x$ causes what change in $f$ ?

Solve the system of equations 6.96x+18.8y-5.06=0 8.82x=7.56-15.66y

Suppose $f$ is a linear function of $x$ . The slope is 2.24. An increase of 6 units in $x$ causes what change in $f$ ?

A line through (5, 8) has slope 0.69. What is the vertical intercept?

Suppose $f$ is a linear function of $x$ . The slope is 2.16. An increase of 7 units in $x$ causes what change in $f$ ?

Solve the equation $7 x + 3 y - 7 = 0$ for $y$ .

Functions

Graphical and Tabular Analysi

Exponential Functions

Filters

Exam 3: Straight Lines and Linear Functions

Solve the system of equations 6.52x+15.84y-5.88=0 5.72x=7.73-15.42y

Suppose fff is a linear function of xxx . The slope is 2.42. An increase of 6 units in xxx causes what change in fff ?

Solve the equation 7x+6y−3=07 x + 6 y - 3 = 07x+6y−3=0 for yyy .

Solve the system of equations 6.26x+14.82y-7.79=0 9.49x=7.25-15.7y

Find a linear model for the following data table.

At a distance 6 miles west of town, oil-bearing deposits are found 3027 feet deep. Also, 10 miles west of town, the oil is found 3221 feet down. Assuming the oil-bearing stratum lies on a straight line, How deep would you expect to drill 11 miles west of town in order to find oil?

Solve the equation 3.65x−2.31y=9.213.65 x - 2.31 y = 9.213.65x−2.31y=9.21 for yyy .

A line through (5, 6) has slope 0.47. What is the vertical intercept?

Solve the equation 5.36x−8.69y=5.745.36 x - 8.69 y = 5.745.36x−8.69y=5.74 for yyy .

The sales tax TTT , in dollars, I have to pay when I buy D dollars worth of merchandise is giv- en by T=0.09DT = 0.09 DT=0.09D If I decide to buy $35 more in merchandise, how much additional sales tax will I have to pay?

Suppose fff is a linear function of xxx . The slope is 2.44. An increase of 6 units in xxx causes what change in fff ?

Solve the system of equations 6.96x+18.8y-5.06=0 8.82x=7.56-15.66y

Suppose fff is a linear function of xxx . The slope is 2.24. An increase of 6 units in xxx causes what change in fff ?

A line through (5, 8) has slope 0.69. What is the vertical intercept?

The following table shows the running speed , in feet per second, of animals of length L , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long. L 3.5 6.3 9.4 9.8 R 8.22 15.78 24.02 24.93

Suppose fff is a linear function of xxx . The slope is 2.16. An increase of 7 units in xxx causes what change in fff ?

Solve the equation 7x+3y−7=07 x + 3 y - 7 = 07x+3y−7=0 for yyy .

Functions

Graphical and Tabular Analysi

Exponential Functions

Filters

Suppose $f$ is a linear function of $x$ . The slope is 2.42. An increase of 6 units in $x$ causes what change in $f$ ?

Solve the equation $7 x + 6 y - 3 = 0$ for $y$ .

Solve the equation $3.65 x - 2.31 y = 9.21$ for $y$ .

Solve the equation $5.36 x - 8.69 y = 5.74$ for $y$ .

The sales tax $T$ , in dollars, I have to pay when I buy D dollars worth of merchandise is giv- en by $T = 0.09 D$ If I decide to buy $35 more in merchandise, how much additional sales tax will I have to pay?

Suppose $f$ is a linear function of $x$ . The slope is 2.44. An increase of 6 units in $x$ causes what change in $f$ ?

Suppose $f$ is a linear function of $x$ . The slope is 2.24. An increase of 6 units in $x$ causes what change in $f$ ?

Suppose $f$ is a linear function of $x$ . The slope is 2.16. An increase of 7 units in $x$ causes what change in $f$ ?

Solve the equation $7 x + 3 y - 7 = 0$ for $y$ .