Question 1

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

Accepted Answer

A)  $\quad y = 2 x + 4$ 
B)  none of these 
C)  $y = 3 x + 2$ 
D)  $y = 2 x + 3$ 
E)  $y = 2 x - 3$ 
A)  $\quad y = 2 x + 4$ 
B)  none of these 
C)  $y = 3 x + 2$ 
D)  $y = 2 x + 3$ 
E)  $y = 2 x - 3$

Question 2

Decide which type of variation the graph represents.

Accepted Answer

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

Question 3

Solve the proportion. $$\frac { x } { 18 } = \frac { 4 } { x + 1 }$$

Accepted Answer

A)  $\quad x _ { 1 } = - 9 , x _ { 2 } = 8$ 
B)  $\quad x _ { 1 } = 9 , x _ { 2 } = 8$ 
C)  $\quad x _ { 1 } = - 9 , x _ { 2 } = - 8$ 
D)  $\quad x _ { 1 } = 9 , x _ { 2 } = - 8$ 
E)  no solutions 
A)  $\quad x _ { 1 } = - 9 , x _ { 2 } = 8$ 
B)  $\quad x _ { 1 } = 9 , x _ { 2 } = 8$ 
C)  $\quad x _ { 1 } = - 9 , x _ { 2 } = - 8$ 
D)  $\quad x _ { 1 } = 9 , x _ { 2 } = - 8$ 
E)  no solutions

Question 4

Find the midpoint of the line segment $P Q$.
$$P ( 10,3 ) , Q ( 4,9 )$$

Accepted Answer

A)  $\quad M ( 9,6 )$ 
B)  $\quad M ( 12,9 )$ 
C)  $M ( 7,5 )$ 
D)  $\quad M ( 1,0 )$ 
E)  $M ( 7,6 )$ 
A)  $\quad M ( 9,6 )$ 
B)  $\quad M ( 12,9 )$ 
C)  $M ( 7,5 )$ 
D)  $\quad M ( 1,0 )$ 
E)  $M ( 7,6 )$

Question 5

Graph the equation.
$$y = 3 | x |$$

Accepted Answer

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

Question 6

Find the x-intercept of the function. $$5 x + 13 y = 15$$

Accepted Answer

A)  $\quad ( 0,15 / 13 )$ 
B)  $( 1 / 3,0 )$ 
C)  $( 3,0 )$ 
D)  $( 0,3 )$ 
E)  $\quad ( 15 / 13,0 )$ 
A)  $\quad ( 0,15 / 13 )$ 
B)  $( 1 / 3,0 )$ 
C)  $( 3,0 )$ 
D)  $( 0,3 )$ 
E)  $\quad ( 15 / 13,0 )$

Question 7

In the following exercise, assume straight-line depreciation. A word processor costs $\$ 565.00$ when new and is expected to be worth $\$ 115.00$ after 5 years. What will it be worth after 2 years?

Accepted Answer

A)  $\quad \$ 115.00$ 
B)  $\quad \$ 340.00$ 
C)  $\quad \$ 385.00$ 
D)  $\quad \$ 565.00$ 
E)  $\quad \$ 450.00$ 
A)  $\quad \$ 115.00$ 
B)  $\quad \$ 340.00$ 
C)  $\quad \$ 385.00$ 
D)  $\quad \$ 565.00$ 
E)  $\quad \$ 450.00$

Question 8

Graph the equation. $y = 6 - | x |$

Accepted Answer

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

Question 9

Solve the proportion. $$\frac { x } { 24 } = \frac { 2 } { x + 2 }$$

Accepted Answer

A)  $\quad x _ { 1 } = - 8 , x _ { 2 } = - 6$ 
B)  $x _ { 1 } = 8 , x _ { 2 } = - 6$ 
C)  no solutions 
D)  $\quad x _ { 1 } = - 8 , x _ { 2 } = 6$ 
E)  $\quad x _ { 1 } = 8 , x _ { 2 } = 6$ 
A)  $\quad x _ { 1 } = - 8 , x _ { 2 } = - 6$ 
B)  $x _ { 1 } = 8 , x _ { 2 } = - 6$ 
C)  no solutions 
D)  $\quad x _ { 1 } = - 8 , x _ { 2 } = 6$ 
E)  $\quad x _ { 1 } = 8 , x _ { 2 } = 6$

Question 10

Find the midpoint of the line segment $P Q$.
$P ( 4,9 ) , Q ( 8,7 )$

Accepted Answer

A)  $\quad M ( 11,11 )$ 
B)  $M ( 1,0 )$ 
C)  $M ( 6,8 )$ 
D)  $M ( 8,8 )$ 
E)  $M ( 6,7 )$ 
A)  $\quad M ( 11,11 )$ 
B)  $M ( 1,0 )$ 
C)  $M ( 6,8 )$ 
D)  $M ( 8,8 )$ 
E)  $M ( 6,7 )$

Question 11

Find the slope of the line. $$y = 12 x + 10$$

Accepted Answer

A)  $\quad m = 13$ 
B)  $\quad m = 16$ 
C)  $\quad m = - 12$ 
D)  $\quad m = 9$ 
E)  $\quad m = 12$ 
A)  $\quad m = 13$ 
B)  $\quad m = 16$ 
C)  $\quad m = - 12$ 
D)  $\quad m = 9$ 
E)  $\quad m = 12$

Question 12

Use the slope-intercept form to write the equation of the line passing through the point $P ( 28,0 )$ and having the slope $m = - \frac { 1 } { 2 }$. Express the answer in general form.

Accepted Answer

A)  $\quad x - 2 y = - 14$ 
B)  $\quad x - 2 y = 28$ 
C)  $\quad x + 2 y = 28$ 
D)  $\quad y = \frac { 1 } { 2 } x + 1$ 
E)  $\quad x + 2 y = - 28$ 
A)  $\quad x - 2 y = - 14$ 
B)  $\quad x - 2 y = 28$ 
C)  $\quad x + 2 y = 28$ 
D)  $\quad y = \frac { 1 } { 2 } x + 1$ 
E)  $\quad x + 2 y = - 28$

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

Solve the proportion. $$\frac { x } { 21 } = \frac { 2 } { x + 1 }$$

Accepted Answer

A)  $\quad x _ { 1 } = - 7 , x _ { 2 } = - 6$ 
B)  $\quad x _ { 1 } = - 7 , x _ { 2 } = 6$ 
C)  $\quad x _ { 1 } = 7 , x _ { 2 } = 6$ 
D)  $\quad x _ { 1 } = 7 , x _ { 2 } = - 6$ 
E)  no solutions 
A)  $\quad x _ { 1 } = - 7 , x _ { 2 } = - 6$ 
B)  $\quad x _ { 1 } = - 7 , x _ { 2 } = 6$ 
C)  $\quad x _ { 1 } = 7 , x _ { 2 } = 6$ 
D)  $\quad x _ { 1 } = 7 , x _ { 2 } = - 6$ 
E)  no solutions

Question 15

Graph the equation. $y = 4 - | x |$

Accepted Answer

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

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

Decide which type of variation the graph represents.

Solve the proportion. $\frac { x } { 18 } = \frac { 4 } { x + 1 }$

Find the midpoint of the line segment $P Q$ . $P ( 10,3 ) , Q ( 4,9 )$

Graph the equation. $y = 3 | x |$

Find the x-intercept of the function. $5 x + 13 y = 15$

In the following exercise, assume straight-line depreciation. A word processor costs $\$ 565.00$ when new and is expected to be worth $\$ 115.00$ after 5 years. What will it be worth after 2 years?

Graph the equation. $y = 6 - | x |$

Solve the proportion. $\frac { x } { 24 } = \frac { 2 } { x + 2 }$

Find the midpoint of the line segment $P Q$ . $P ( 4,9 ) , Q ( 8,7 )$

Find the slope of the line. $y = 12 x + 10$

Use the slope-intercept form to write the equation of the line passing through the point $P ( 28,0 )$ and having the slope $m = - \frac { 1 } { 2 }$ . Express the answer in general form.

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

Solve the proportion. $\frac { x } { 21 } = \frac { 2 } { x + 1 }$

Graph the equation. $y = 4 - | x |$

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

Exam 3: The Rectangular Coordinate System and Graphs of Equations

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

Decide which type of variation the graph represents.

Solve the proportion. x18=4x+1\frac { x } { 18 } = \frac { 4 } { x + 1 }18x​=x+14​

Find the midpoint of the line segment PQP QPQ . P(10,3),Q(4,9)P ( 10,3 ) , Q ( 4,9 )P(10,3),Q(4,9)

Graph the equation. y=3∣x∣y = 3 | x |y=3∣x∣

Find the x-intercept of the function. 5x+13y=155 x + 13 y = 155x+13y=15

In the following exercise, assume straight-line depreciation. A word processor costs $565.00\$ 565.00$565.00 when new and is expected to be worth $115.00\$ 115.00$115.00 after 5 years. What will it be worth after 2 years?

Graph the equation. y=6−∣x∣y = 6 - | x |y=6−∣x∣

Solve the proportion. x24=2x+2\frac { x } { 24 } = \frac { 2 } { x + 2 }24x​=x+22​

Find the midpoint of the line segment PQP QPQ . P(4,9),Q(8,7)P ( 4,9 ) , Q ( 8,7 )P(4,9),Q(8,7)

Find the slope of the line. y=12x+10y = 12 x + 10y=12x+10

Use the slope-intercept form to write the equation of the line passing through the point P(28,0)P ( 28,0 )P(28,0) and having the slope m=−12m = - \frac { 1 } { 2 }m=−21​ . Express the answer in general form.

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

Solve the proportion. x21=2x+1\frac { x } { 21 } = \frac { 2 } { x + 1 }21x​=x+12​

Graph the equation. y=4−∣x∣y = 4 - | x |y=4−∣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

Solve the proportion. $\frac { x } { 18 } = \frac { 4 } { x + 1 }$

Find the midpoint of the line segment $P Q$ . $P ( 10,3 ) , Q ( 4,9 )$

Graph the equation. $y = 3 | x |$

Find the x-intercept of the function. $5 x + 13 y = 15$

In the following exercise, assume straight-line depreciation. A word processor costs $\$ 565.00$ when new and is expected to be worth $\$ 115.00$ after 5 years. What will it be worth after 2 years?

Graph the equation. $y = 6 - | x |$

Solve the proportion. $\frac { x } { 24 } = \frac { 2 } { x + 2 }$

Find the midpoint of the line segment $P Q$ . $P ( 4,9 ) , Q ( 8,7 )$

Find the slope of the line. $y = 12 x + 10$

Use the slope-intercept form to write the equation of the line passing through the point $P ( 28,0 )$ and having the slope $m = - \frac { 1 } { 2 }$ . Express the answer in general form.

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

Solve the proportion. $\frac { x } { 21 } = \frac { 2 } { x + 1 }$

Graph the equation. $y = 4 - | x |$