Question 1

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D) 
  B

Question 2

Find the slope of the line. $2 ( x - 16 ) = 25 y + 22$

Accepted Answer

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

Question 3

Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y = -$ $10 x + 5$.

Accepted Answer

A)  $\quad y = 10 x$ 
B)  $\quad y = - \frac { 1 } { 5 } x$ 
C)  $y = - 5 x$ 
D)  $y = - \frac { 1 } { 10 } x + 5$ 
E)  $y = \frac { 1 } { 10 } x$ 
A)  $\quad y = 10 x$ 
B)  $\quad y = - \frac { 1 } { 5 } x$ 
C)  $y = - 5 x$ 
D)  $y = - \frac { 1 } { 10 } x + 5$ 
E)  $y = \frac { 1 } { 10 } x$ E

Question 4

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 5 x - 3$.

Accepted Answer

A)  $\quad y = 3 x + 5$ 
B)  $\quad x = 5 y$ 
C)  $\quad y = 5 x$ 
D)  $y = - 3 x$ 
E)  $y = 3 x$ 
A)  $\quad y = 3 x + 5$ 
B)  $\quad x = 5 y$ 
C)  $\quad y = 5 x$ 
D)  $y = - 3 x$ 
E)  $y = 3 x$

Question 5

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 15-ohm resistor carrying a current of 1 ampere dissipates 15 watts.
How much power is dissipated in a 80-ohm resistor carrying a current of 3 amperes?

Accepted Answer

A)  $ P = 80 \mathrm { Watts }$ 
B)  $P = 8$ Watts 
C)  $P = 3$ Watts 
D)  $P = 720 \mathrm { Watts }$ 
E)  $P = 24 \mathrm { Watts }$ 
A)  $ P = 80 \mathrm { Watts }$ 
B)  $P = 8$ Watts 
C)  $P = 3$ Watts 
D)  $P = 720 \mathrm { Watts }$ 
E)  $P = 24 \mathrm { Watts }$

Question 6

Find the slope of the line through $P ( - 4 , - 1 )$ and $Q ( - 1 , - 19 )$.

Accepted Answer

A)  $\quad m = - 4$ 
B)  $\quad m = - 7$ 
C)  $\quad m = - 8$ 
D)  $\quad m = - 6$ 
E)  $\quad m = - 5$ 
A)  $\quad m = - 4$ 
B)  $\quad m = - 7$ 
C)  $\quad m = - 8$ 
D)  $\quad m = - 6$ 
E)  $\quad m = - 5$

Question 7

Find the x-intercept of the function. $$5 x + 4 y = 13$$

Accepted Answer

A)  $\quad ( 5 / 13,0 )$ 
B)  $( 13 / 5,0 )$ 
C)  $( 13 / 4,0 )$ 
D)  $( 0,13 / 4 )$ 
E)  $( 0,13 / 5 )$ 
A)  $\quad ( 5 / 13,0 )$ 
B)  $( 13 / 5,0 )$ 
C)  $( 13 / 4,0 )$ 
D)  $( 0,13 / 4 )$ 
E)  $( 0,13 / 5 )$

Question 8

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E) 
  
A) 
  
B) 
  
C) 
  
D) 
  
E)

Question 9

Find the equation of the line parallel to the line $x = 3$ and passing through the midpoint of the segment joining $( 9,3 )$ and $( 5 , - 1 )$.

Accepted Answer

A)  $\quad x = 1$ 
B)  $\quad x = 9$ 
C)  $\quad x = 7$ 
D)  $\quad y = - 5$ 
E)  $\quad x = 4$ 
A)  $\quad x = 1$ 
B)  $\quad x = 9$ 
C)  $\quad x = 7$ 
D)  $\quad y = - 5$ 
E)  $\quad x = 4$

Question 10

In the following exercise, assume straight-line depreciation. A word processor costs $\$ 540.00$ when new and is expected to be worth $\$ 165.00$ after 5 years. What will it be worth after 3 years?

Accepted Answer

A)  $\$ 315.00$ 
B)  $\$ 352.50$ 
C)  $\quad \$ 540.00$ 
D)  $\quad \$ 165.00$ 
E)  $\quad \$ 375.00$ 
A)  $\$ 315.00$ 
B)  $\$ 352.50$ 
C)  $\quad \$ 540.00$ 
D)  $\quad \$ 165.00$ 
E)  $\quad \$ 375.00$

Question 11

Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y =$ $10 x + 5$.

Accepted Answer

A)  $y = - \frac { 1 } { 5 } x$ 
B)  $y = - 5 x$ 
C)  $y = 10 x$ 
D)  $\quad y = \frac { 1 } { 10 } x$ 
E)  $\quad y = - \frac { 1 } { 10 } x + 5$ 
A)  $y = - \frac { 1 } { 5 } x$ 
B)  $y = - 5 x$ 
C)  $y = 10 x$ 
D)  $\quad y = \frac { 1 } { 10 } x$ 
E)  $\quad y = - \frac { 1 } { 10 } x + 5$

Question 12

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

Accepted Answer

A)  $\quad y = 4 x + 6$ 
B)  $\quad y = 4 x + 7$ 
C)  $y = 4 x - 6$ 
D)  $\quad y = 6 x + 4$ 
E)  none of these 
A)  $\quad y = 4 x + 6$ 
B)  $\quad y = 4 x + 7$ 
C)  $y = 4 x - 6$ 
D)  $\quad y = 6 x + 4$ 
E)  none of these

Question 13

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E) 
  
A) 
  
B) 
  
C) 
  
D) 
  
E)

Question 14

Indicate the quadrant in which the point (- 9, - 2) lies.

Accepted Answer

A)  quadrant II 
B)  quadrant I 
C)  quadrant III 
D)  quadrant IV 
E)  none of these 
A)  quadrant II 
B)  quadrant I 
C)  quadrant III 
D)  quadrant IV 
E)  none of these

Question 15

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 16

Indicate the quadrant in which the point (- 5, - 2) lies.

Accepted Answer

A)  none of these 
B)  quadrant III 
C)  quadrant II 
D)  quadrant I 
E)  quadrant IV 
A)  none of these 
B)  quadrant III 
C)  quadrant II 
D)  quadrant I 
E)  quadrant IV

Question 17

Find the constant of proportionality for the stated conditions: $E$ varies jointly with $I$ and $R$, and when $E$ $= 2,520 , R = 40$ and $\mathrm { I } = 7$.

Accepted Answer

A)  $\quad k = 7$ 
B)  $k = 9$ 
C)  $\quad k = - 9$ 
D)  $\quad k = - 2,520$ 
E)  $\quad k = 2,520$ 
A)  $\quad k = 7$ 
B)  $k = 9$ 
C)  $\quad k = - 9$ 
D)  $\quad k = - 2,520$ 
E)  $\quad k = 2,520$

Question 18

Find the constant of proportionality for the stated conditions: $E$ varies jointly with $I$ and $R$, and when $E$ $= 3,600 , R = 50$ and $\mathrm { I } = 9$.

Accepted Answer

A)  $\quad k = - 3,600$ 
B)  $\quad k = 3,600$ 
C)  $\quad k = 8$ 
D)  $\quad k = 9$ 
E)  $k = - 8$ 
A)  $\quad k = - 3,600$ 
B)  $\quad k = 3,600$ 
C)  $\quad k = 8$ 
D)  $\quad k = 9$ 
E)  $k = - 8$

Question 19

Decide which type of variation the graph represents.

Accepted Answer

A)  neither 
B)  direct variation 
C)  inverse variation 
A)  neither 
B)  direct variation 
C)  inverse variation

Question 20

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

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

Find the slope of the line. $2 ( x - 16 ) = 25 y + 22$

Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y = -$ $10 x + 5$ .

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 5 x - 3$ .

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 15-ohm resistor carrying a current of 1 ampere dissipates 15 watts. How much power is dissipated in a 80-ohm resistor carrying a current of 3 amperes?

Find the slope of the line through $P ( - 4 , - 1 )$ and $Q ( - 1 , - 19 )$ .

Find the x-intercept of the function. $5 x + 4 y = 13$

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

Find the equation of the line parallel to the line $x = 3$ and passing through the midpoint of the segment joining $( 9,3 )$ and $( 5 , - 1 )$ .

In the following exercise, assume straight-line depreciation. A word processor costs $\$ 540.00$ when new and is expected to be worth $\$ 165.00$ after 5 years. What will it be worth after 3 years?

Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y =$ $10 x + 5$ .

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

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

Indicate the quadrant in which the point (- 9, - 2) lies.

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

Indicate the quadrant in which the point (- 5, - 2) lies.

Find the constant of proportionality for the stated conditions: $E$ varies jointly with $I$ and $R$ , and when $E$ $= 2,520 , R = 40$ and $\mathrm { I } = 7$ .

Find the constant of proportionality for the stated conditions: $E$ varies jointly with $I$ and $R$ , and when $E$ $= 3,600 , R = 50$ and $\mathrm { I } = 9$ .

Decide which type of variation the graph represents.

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

A Review of Basic Algebra

Equations and Inequalities

Functions Functions and Function Notation

Exponential and Logarithmic Functions

Solving Polynomial Equations

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Exam 3: The Rectangular Coordinate System and Graphs of Equations

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

Find the slope of the line. 2(x−16)=25y+222 ( x - 16 ) = 25 y + 222(x−16)=25y+22

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=− 10x+510 x + 510x+5 .

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=5x−3y = 5 x - 3y=5x−3 .

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 15-ohm resistor carrying a current of 1 ampere dissipates 15 watts. How much power is dissipated in a 80-ohm resistor carrying a current of 3 amperes?

Find the slope of the line through P(−4,−1)P ( - 4 , - 1 )P(−4,−1) and Q(−1,−19)Q ( - 1 , - 19 )Q(−1,−19) .

Find the x-intercept of the function. 5x+4y=135 x + 4 y = 135x+4y=13

Find the graph of the equation. 3x−y=33 x - y = 33x−y=3

Find the equation of the line parallel to the line x=3x = 3x=3 and passing through the midpoint of the segment joining (9,3)( 9,3 )(9,3) and (5,−1)( 5 , - 1 )(5,−1) .

In the following exercise, assume straight-line depreciation. A word processor costs $540.00\$ 540.00$540.00 when new and is expected to be worth $165.00\$ 165.00$165.00 after 5 years. What will it be worth after 3 years?

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= 10x+510 x + 510x+5 .

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

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

Indicate the quadrant in which the point (- 9, - 2) lies.

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

Indicate the quadrant in which the point (- 5, - 2) lies.

Find the constant of proportionality for the stated conditions: EEE varies jointly with III and RRR , and when EEE =2,520,R=40= 2,520 , R = 40=2,520,R=40 and I=7\mathrm { I } = 7I=7 .

Find the constant of proportionality for the stated conditions: EEE varies jointly with III and RRR , and when EEE =3,600,R=50= 3,600 , R = 50=3,600,R=50 and I=9\mathrm { I } = 9I=9 .

Decide which type of variation the graph represents.

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

A Review of Basic Algebra

Equations and Inequalities

Functions Functions and Function Notation

Exponential and Logarithmic Functions

Solving Polynomial Equations

Linear Systems

Conic Sections and Quadratic Systems

Natural Number Functions and Probability

Filters

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

Find the slope of the line. $2 ( x - 16 ) = 25 y + 22$

Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y = -$ $10 x + 5$ .

Write the equation of the line that passes through the point $P ( 0,0 )$ and is parallel to the line $y = 5 x - 3$ .

Find the slope of the line through $P ( - 4 , - 1 )$ and $Q ( - 1 , - 19 )$ .

Find the x-intercept of the function. $5 x + 4 y = 13$

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

Find the equation of the line parallel to the line $x = 3$ and passing through the midpoint of the segment joining $( 9,3 )$ and $( 5 , - 1 )$ .

In the following exercise, assume straight-line depreciation. A word processor costs $\$ 540.00$ when new and is expected to be worth $\$ 165.00$ after 5 years. What will it be worth after 3 years?

Write the equation of the line that passes through the point $P ( 0,0 )$ and is perpendicular to the line $y =$ $10 x + 5$ .

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

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

Find the constant of proportionality for the stated conditions: $E$ varies jointly with $I$ and $R$ , and when $E$ $= 2,520 , R = 40$ and $\mathrm { I } = 7$ .

Find the constant of proportionality for the stated conditions: $E$ varies jointly with $I$ and $R$ , and when $E$ $= 3,600 , R = 50$ and $\mathrm { I } = 9$ .

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