Question 1

In the following exercise, assume straight-line depreciation. A word processor costs $570.00 when new and is expected to be worth $195.00 after 5 years.What will It be worth after 2 years?

Accepted Answer

A)  $ \$ 570.00$ 
B)  $\$ 382.50$ 
C)  $\$ 420.00$ 
D)  $\$195.00$ 
E)  $\$375.00$

Question 2

Find the graph of the equation. $3 x - y = 2$

Accepted Answer

A) 
 
B) 
 
C) 
 
D) 
 
E)

Question 3

Graph the equation. $$y = 2 - | x |$$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 4

Find the slope of the line through $P ( 2 , - 2 )$ and $Q ( 6 , - 18 )$.

Accepted Answer

A)  $\quad m = - 5$ 
B)  $\quad m = - 4$ 
C)  $\quad m = - 6$ 
D)  $\quad m = - 3$ 
E)  $\quad m = - 2$

Question 5

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 10 x - 9$.

Accepted Answer

A)  $\quad y = 10 x$ 
B)  $\quad y = - 9 x$ 
C)  $\quad y = 9 x$ 
D)  $\quad x = 10 y$ 
E)  $y = 9 x + 10$

Question 6

Graph the equation. $$y = x ^ { 2 } + 3 x$$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 7

Use point-slope form to write the equation of the line.

Accepted Answer

A)  $y = 2 x + 1$ 
B)  none of these 
C)  $y = 2 x + 2$ 
D)  $y = 2 x - 1$ 
E)  $y = 1 x + 2$

Question 8

The power, in watts, dissipated as heat in a resistor varies jointly with the resistance, in ohms, and the square of the current, in amperes.A 10-ohm resistor carrying a current of 1 ampere dissipates 10 watts.
How much power is dissipated in a 50-ohm resistor carrying a current of 9 amperes?

Accepted Answer

A)  $P = 50$ Watts 
B)  $P = 45 \mathrm { Watts }$ 
C)  $P = 9 \mathrm { Watts }$ 
D)  $P = 4,050 \mathrm { Watts }$ 
E)  $P = 5$ Watts

Question 9

Find the slope of the line. $11 x - 3 = 10 ( y + x )$

Accepted Answer

A)  $\quad m = \frac { 1 } { 10 }$ 
B)  $\quad m = \frac { 3 } { 11 }$ 
C)  $m = 10$ 
D)  $m = - \frac { 1 } { 10 }$ 
E)  $m = 11$
F) $m = \frac { 11 } { 10 }$

Question 10

Draw the line using the slope and $y$-intercept.
$$y + 1 = 2 x$$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 11

Use the slope-intercept form to write the equation of the line passing through the point $P ( 24,2 )$ and having the slope $m = - \frac { 1 } { 2 }$. Express the answer in general form.

Accepted Answer

A)  $\quad y = \frac { 1 } { 2 } x + 1$ 
B)  $\quad x + 2 y = - 28$ 
C)  $\quad x + 2 y = 28$ 
D)  $\quad x - 2 y = - 12$ 
E)  $x - 2 y = 28$

Question 12

Find the slope of the line. $$2 ( x - 16 ) = 25 y + 21$$

Accepted Answer

A)  $m = 25$ 
B)  $m = \frac { 16 } { 25 }$ 
C)  $m = \frac { 4 } { 25 }$ 
D)  $\quad m = \frac { 2 } { 25 }$ 
E)  $m = - \frac { 2 } { 25 }$
F) $m = 2$

Question 13

Find the slope of the line. $$6 ( x - 25 ) = 25 y + 17$$

Accepted Answer

A)  $m = 25$ 
B)  $m = \frac { 25 } { 25 }$ 
C)  $m = \frac { 8 } { 25 }$ 
D)  $\quad m = 6$ 
E)  $m = \frac { 6 } { 25 }$
F) $m = - \frac { 6 } { 25 }$

Question 14

Draw the line using the slope and y-intercept. $$y + 2 = 2 x$$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 15

Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y = -$ $4 x + 10$.

Accepted Answer

A)  $\quad y = 4 x$ 
B)  $y = - \frac { 1 } { 4 } x + 10$ 
C)  $y = \frac { 1 } { 4 } x$ 
D)  $\quad y = - 10 x$ 
E)  $y = - \frac { 1 } { 10 } x$

Question 16

True or False? The points $A , B , C$ and $D$ are vertices of a square.
$$A ( 6,4 ) ; B ( 8,5 ) ; C ( 7,7 ) ; D ( 5,6 )$$

Accepted Answer

A) True 
 B)False

Question 17

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 10 x - 9$.

Accepted Answer

A)  $\quad y = - 9 x$ 
B)  $\quad y = 10 x$ 
C)  $\quad x = 10 y$ 
D)  $\quad y = 9 x + 10$ 
E)  $\quad y = 9 x$

Question 18

Graph the equation. $$y = 5 | x |$$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 19

True or False? The points $A , B , C$ and $D$ are vertices of a square.
$$A ( - 4 , - 6 ) ; B ( - 2 , - 5 ) ; C ( - 3 , - 3 ) ; D ( - 5 , - 4 )$$

Accepted Answer

A) True 
 B)False

Question 20

Find the slope of the line. $$y = 11 x + 16$$

Accepted Answer

A)  $\quad m = 11$ 
B)  $\quad m = 15$ 
C)  $m = - 11$ 
D)  $\quad m = 8$ 
E)  $m = 12$

Exam 3: The Rectangular Coordinate System and Graphs of Equations

In the following exercise, assume straight-line depreciation. A word processor costs $570.00 when new and is expected to be worth $195.00 after 5 years.What will It be worth after 2 years?

Find the graph of the equation. $3 x - y = 2$

Graph the equation. $y = 2 - | x |$

Find the slope of the line through $P ( 2 , - 2 )$ and $Q ( 6 , - 18 )$ .

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 10 x - 9$ .

Graph the equation. $y = x ^ { 2 } + 3 x$

Use point-slope form to write the equation of the line.

The power, in watts, dissipated as heat in a resistor varies jointly with the resistance, in ohms, and the square of the current, in amperes.A 10-ohm resistor carrying a current of 1 ampere dissipates 10 watts. How much power is dissipated in a 50-ohm resistor carrying a current of 9 amperes?

Find the slope of the line. $11 x - 3 = 10 ( y + x )$

Draw the line using the slope and $y$ -intercept. $y + 1 = 2 x$

Use the slope-intercept form to write the equation of the line passing through the point $P ( 24,2 )$ and having the slope $m = - \frac { 1 } { 2 }$ . Express the answer in general form.

Find the slope of the line. $2 ( x - 16 ) = 25 y + 21$

Find the slope of the line. $6 ( x - 25 ) = 25 y + 17$

Draw the line using the slope and y-intercept. $y + 2 = 2 x$

Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y = -$ $4 x + 10$ .

True or False? The points $A , B , C$ and $D$ are vertices of a square. $A ( 6,4 ) ; B ( 8,5 ) ; C ( 7,7 ) ; D ( 5,6 )$

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 10 x - 9$ .

Graph the equation. $y = 5 | x |$

True or False? The points $A , B , C$ and $D$ are vertices of a square. $A ( - 4 , - 6 ) ; B ( - 2 , - 5 ) ; C ( - 3 , - 3 ) ; D ( - 5 , - 4 )$

Find the slope of the line. $y = 11 x + 16$

Exam 3: The Rectangular Coordinate System and Graphs of Equations

In the following exercise, assume straight-line depreciation. A word processor costs $570.00 when new and is expected to be worth $195.00 after 5 years.What will It be worth after 2 years?

Find the graph of the equation. 3x−y=23 x - y = 23x−y=2

Graph the equation. y=2−∣x∣y = 2 - | x |y=2−∣x∣

Find the slope of the line through P(2,−2) P ( 2 , - 2 ) P(2,−2) and Q(6,−18) Q ( 6 , - 18 ) Q(6,−18) .

Write the equation of the line that passes through the point P(0,0) P ( 0,0 ) P(0,0) and is parallel to the line y=10x−9y = 10 x - 9y=10x−9 .

Graph the equation. y=x2+3xy = x ^ { 2 } + 3 xy=x2+3x

Use point-slope form to write the equation of the line.

The power, in watts, dissipated as heat in a resistor varies jointly with the resistance, in ohms, and the square of the current, in amperes.A 10-ohm resistor carrying a current of 1 ampere dissipates 10 watts. How much power is dissipated in a 50-ohm resistor carrying a current of 9 amperes?

Find the slope of the line. 11x−3=10(y+x) 11 x - 3 = 10 ( y + x ) 11x−3=10(y+x)

Draw the line using the slope and yyy -intercept. y+1=2xy + 1 = 2 xy+1=2x

Use the slope-intercept form to write the equation of the line passing through the point P(24,2) P ( 24,2 ) P(24,2) and having the slope m=−12m = - \frac { 1 } { 2 }m=−21​ . Express the answer in general form.

Find the slope of the line. 2(x−16) =25y+212 ( x - 16 ) = 25 y + 212(x−16) =25y+21

Find the slope of the line. 6(x−25) =25y+176 ( x - 25 ) = 25 y + 176(x−25) =25y+17

Draw the line using the slope and y-intercept. y+2=2xy + 2 = 2 xy+2=2x

Write the equation of the line that passes through the point P(0,0) P ( 0,0 ) P(0,0) and is perpendicular to the line y=−y = -y=− 4x+104 x + 104x+10 .

True or False? The points A,B,CA , B , CA,B,C and DDD are vertices of a square. A(6,4);B(8,5);C(7,7);D(5,6)A ( 6,4 ) ; B ( 8,5 ) ; C ( 7,7 ) ; D ( 5,6 )A(6,4);B(8,5);C(7,7);D(5,6)

Write the equation of the line that passes through the point P(0,0) P ( 0,0 ) P(0,0) and is parallel to the line y=10x−9y = 10 x - 9y=10x−9 .

Graph the equation. y=5∣x∣y = 5 | x |y=5∣x∣

True or False? The points A,B,CA , B , CA,B,C and DDD are vertices of a square. A(−4,−6);B(−2,−5);C(−3,−3);D(−5,−4)A ( - 4 , - 6 ) ; B ( - 2 , - 5 ) ; C ( - 3 , - 3 ) ; D ( - 5 , - 4 )A(−4,−6);B(−2,−5);C(−3,−3);D(−5,−4)

Find the slope of the line. y=11x+16y = 11 x + 16y=11x+16

Find the graph of the equation. $3 x - y = 2$

Graph the equation. $y = 2 - | x |$

Find the slope of the line through $P ( 2 , - 2 )$ and $Q ( 6 , - 18 )$ .

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 10 x - 9$ .

Graph the equation. $y = x ^ { 2 } + 3 x$

Find the slope of the line. $11 x - 3 = 10 ( y + x )$

Draw the line using the slope and $y$ -intercept. $y + 1 = 2 x$

Use the slope-intercept form to write the equation of the line passing through the point $P ( 24,2 )$ and having the slope $m = - \frac { 1 } { 2 }$ . Express the answer in general form.

Find the slope of the line. $2 ( x - 16 ) = 25 y + 21$

Find the slope of the line. $6 ( x - 25 ) = 25 y + 17$

Draw the line using the slope and y-intercept. $y + 2 = 2 x$

Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y = -$ $4 x + 10$ .

True or False? The points $A , B , C$ and $D$ are vertices of a square. $A ( 6,4 ) ; B ( 8,5 ) ; C ( 7,7 ) ; D ( 5,6 )$

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 10 x - 9$ .

Graph the equation. $y = 5 | x |$

True or False? The points $A , B , C$ and $D$ are vertices of a square. $A ( - 4 , - 6 ) ; B ( - 2 , - 5 ) ; C ( - 3 , - 3 ) ; D ( - 5 , - 4 )$

Find the slope of the line. $y = 11 x + 16$