Question 1

Graph the line containing the given pair of points and find the slope.
-$(1,8)(0,0)$

Accepted Answer

A)  $-\frac{1}{8}$
  
B)  $\frac{1}{8}$
  
C) 8
  
D)  -8
  
A)  $-\frac{1}{8}$
  
B)  $\frac{1}{8}$
  
C) 8
  
D)  -8

Question 2

Write an equation for the graph.
-

Accepted Answer

A)  $x=-3$ 
B)  $y=-3$ 
C)  $y=x-3$ 
D)  $y=x-6$ 
A)  $x=-3$ 
B)  $y=-3$ 
C)  $y=x-3$ 
D)  $y=x-6$

Question 3

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
-$3 x-4 y=3$
$8 x+6 y=3$

Accepted Answer

A)  Perpendicular 
B)  Neither 
C)  Parallel 
A)  Perpendicular 
B)  Neither 
C)  Parallel

Question 4

Graph the linear equation.
-$y=\frac{2}{5} x-4$

Accepted Answer

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

Question 5

Solve the problem.
-The following graph shows data for a recent train ride from New York to Toronto. Find the rate of change of the distance from New York with respect to time, in miles per hour.

Accepted Answer

A)  50 miles per hour 
B)  40 miles per hour 
C)  100 miles per hour 
D)  55 miles per hour 
A)  50 miles per hour 
B)  40 miles per hour 
C)  100 miles per hour 
D)  55 miles per hour

Question 6

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
-$y=\frac{1}{2} x+5 ;(4,7),(-4,3)$

Accepted Answer

Show that @#LAT-DLM& is a solution:
@#LAT-DLM&
@#LAT-DLM&
@#LAT-DLM&
@#LAT-DLM&

Question 7

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
-$y=\frac{1}{2} x-3 ;(6,0),(0,-3)$

Accepted Answer

Show that @#LAT-DLM& is a solution:
@#LAT-DLM&
@#LAT-DLM&
@#LAT-DLM&
@#LAT-DLM&

Question 8

Graph.
-$x=-2$

Accepted Answer

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

Question 9

Find the coordinates of the labeled points.
-

Accepted Answer

A)  $\mathrm{G}(3,5)$; $\mathrm{H}(7,5)$ 
B)  $\mathrm{G}(3,7) ; \mathrm{H}(5,-7)$ 
C)  $\mathrm{G}(7,22)$; $\mathrm{H}(5,-7)$ 
D)  $\mathrm{G}(3,7) ; \mathrm{H}(-7,5)$ 
A)  $\mathrm{G}(3,5)$; $\mathrm{H}(7,5)$ 
B)  $\mathrm{G}(3,7) ; \mathrm{H}(5,-7)$ 
C)  $\mathrm{G}(7,22)$; $\mathrm{H}(5,-7)$ 
D)  $\mathrm{G}(3,7) ; \mathrm{H}(-7,5)$

Question 10

Find the slope of the line going through the pair of points.
-$(6,0),(0,8)$

Accepted Answer

A)  3.33 
B)  -1.33 
C)  0.75 
D)  1.33 
A)  3.33 
B)  -1.33 
C)  0.75 
D)  1.33

Question 11

Find the $x$ - and $y$-intercepts for the equation. Then graph the equation.
-$2 x-6 y=6$

Accepted Answer

A)  $(0,-1),(-3,0)$
  
B)  $(0,-1),(3,0)$
  
A)  $(0,-1),(-3,0)$
  
B)  $(0,-1),(3,0)$

Question 12

Find the slope and the $y$-intercept of the line.
-$y=-7$

Accepted Answer

A)  Slope 0 ; y-intercept $(0,0)$ 
B)  Slope undefined; $y$-intercept $(0,-7)$ 
C)  Slope 0 ; y-intercept $(0,-7)$ 
D)  Slope -7 ; y-intercept $(0,0)$ 
A)  Slope 0 ; y-intercept $(0,0)$ 
B)  Slope undefined; $y$-intercept $(0,-7)$ 
C)  Slope 0 ; y-intercept $(0,-7)$ 
D)  Slope -7 ; y-intercept $(0,0)$

Question 13

Choose the ordered pair which is a solution of the inequality.
-$2 x+4 y \geq 8$
$(0,0),(1,1),(0,1),(2,1)$

Accepted Answer

A)  $(2,1)$ 
B)  $(0,1)$ 
C)  $(0,0)$ 
D)  $(1,1)$ 
A)  $(2,1)$ 
B)  $(0,1)$ 
C)  $(0,0)$ 
D)  $(1,1)$

Question 14

Solve the problem.
-Suppose the sales of a particular brand of appliance satisfy the relationship $y=100 x+2100$, where $y$ represents the number of sales in year $x$, with $x=0$ corresponding to 1982 . Find the number of sales in 1997.

Accepted Answer

A)  7100 sales 
B)  3600 sales 
C)  3500 sales 
D)  7200 sales 
A)  7100 sales 
B)  3600 sales 
C)  3500 sales 
D)  7200 sales

Question 15

Solve the problem.
-The value of a particular computer system is represented in the following graph. Find the rate of change of the value of the computer system with respect to time, in dollars per year.

Accepted Answer

A)  $-\$ 500$ per year 
B)  $-\$ 250$ per year 
C)  $-\$ 750$ per year 
D)  $-\$ 1000$ per year 
A)  $-\$ 500$ per year 
B)  $-\$ 250$ per year 
C)  $-\$ 750$ per year 
D)  $-\$ 1000$ per year

Question 16

Determine whether the given ordered pair is a solution of the equation.
-$\mathrm{x}+\mathrm{y}=10 ;(5,4)$

Accepted Answer

A) True 
 B)False

Question 17

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
-$x+2 y=8 ;(2,3),(-6,7)$

Accepted Answer

Show that @#LAT-DLM& is a solution:
 @#IMG-DLM& 
S

Question 18

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
-$y=2 x-3$
$8 x+4 y=8$

Accepted Answer

A)  Neither 
B)  Perpendicular 
C)  Parallel 
A)  Neither 
B)  Perpendicular 
C)  Parallel

Question 19

Graph the linear equation.
-$4 y-8 x=-32$

Accepted Answer

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

Question 20

Find the slope of the line.
-

Accepted Answer

A)  Undefined 
B)  4 
C)  0 
D)  $\frac{3}{2}$ 
A)  Undefined 
B)  4 
C)  0 
D)  $\frac{3}{2}$

Graph the line containing the given pair of points and find the slope. - $(1,8)(0,0)$

Write an equation for the graph. -

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $3 x-4 y=3$ $8 x+6 y=3$

Graph the linear equation. - $y=\frac{2}{5} x-4$ $Graph the linear equation. - y=\frac{2}{5} x-4$

Solve the problem. -The following graph shows data for a recent train ride from New York to Toronto. Find the rate of change of the distance from New York with respect to time, in miles per hour.

Graph. - $x=-2$

Find the coordinates of the labeled points. -

Find the slope of the line going through the pair of points. - $(6,0),(0,8)$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $2 x-6 y=6$

Find the slope and the $y$ -intercept of the line. - $y=-7$

Choose the ordered pair which is a solution of the inequality. - $2 x+4 y \geq 8$ $(0,0),(1,1),(0,1),(2,1)$

Solve the problem. -Suppose the sales of a particular brand of appliance satisfy the relationship $y=100 x+2100$ , where $y$ represents the number of sales in year $x$ , with $x=0$ corresponding to 1982 . Find the number of sales in 1997.

Solve the problem. -The value of a particular computer system is represented in the following graph. Find the rate of change of the value of the computer system with respect to time, in dollars per year.

Determine whether the given ordered pair is a solution of the equation. - $\mathrm{x}+\mathrm{y}=10 ;(5,4)$

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - $x+2 y=8 ;(2,3),(-6,7)$

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $y=2 x-3$ $8 x+4 y=8$

Graph the linear equation. - $4 y-8 x=-32$

Find the slope of the line. -

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 9: Graphs of Linear Equations

Graph the line containing the given pair of points and find the slope. - (1,8)(0,0)(1,8)(0,0)(1,8)(0,0)

Write an equation for the graph. -

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - 3x−4y=33 x-4 y=33x−4y=3 8x+6y=38 x+6 y=38x+6y=3

Graph the linear equation. - y=25x−4y=\frac{2}{5} x-4y=52​x−4

Solve the problem. -The following graph shows data for a recent train ride from New York to Toronto. Find the rate of change of the distance from New York with respect to time, in miles per hour.

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - y=12x+5;(4,7),(−4,3)y=\frac{1}{2} x+5 ;(4,7),(-4,3)y=21​x+5;(4,7),(−4,3)

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - y=12x−3;(6,0),(0,−3)y=\frac{1}{2} x-3 ;(6,0),(0,-3)y=21​x−3;(6,0),(0,−3)

Graph. - x=−2x=-2x=−2

Find the coordinates of the labeled points. -

Find the slope of the line going through the pair of points. - (6,0),(0,8)(6,0),(0,8)(6,0),(0,8)

Find the xxx - and yyy -intercepts for the equation. Then graph the equation. - 2x−6y=62 x-6 y=62x−6y=6

Find the slope and the yyy -intercept of the line. - y=−7y=-7y=−7

Choose the ordered pair which is a solution of the inequality. - 2x+4y≥82 x+4 y \geq 82x+4y≥8 (0,0),(1,1),(0,1),(2,1)(0,0),(1,1),(0,1),(2,1)(0,0),(1,1),(0,1),(2,1)

Solve the problem. -Suppose the sales of a particular brand of appliance satisfy the relationship y=100x+2100y=100 x+2100y=100x+2100 , where yyy represents the number of sales in year xxx , with x=0x=0x=0 corresponding to 1982 . Find the number of sales in 1997.

Solve the problem. -The value of a particular computer system is represented in the following graph. Find the rate of change of the value of the computer system with respect to time, in dollars per year.

Determine whether the given ordered pair is a solution of the equation. - x+y=10;(5,4)\mathrm{x}+\mathrm{y}=10 ;(5,4)x+y=10;(5,4)

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - x+2y=8;(2,3),(−6,7)x+2 y=8 ;(2,3),(-6,7)x+2y=8;(2,3),(−6,7)

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - y=2x−3y=2 x-3y=2x−3 8x+4y=88 x+4 y=88x+4y=8

Graph the linear equation. - 4y−8x=−324 y-8 x=-324y−8x=−32

Find the slope of the line. -

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Graph the line containing the given pair of points and find the slope. - $(1,8)(0,0)$

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $3 x-4 y=3$ $8 x+6 y=3$

Graph the linear equation. - $y=\frac{2}{5} x-4$ $Graph the linear equation. - y=\frac{2}{5} x-4$

Graph. - $x=-2$

Find the slope of the line going through the pair of points. - $(6,0),(0,8)$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $2 x-6 y=6$

Find the slope and the $y$ -intercept of the line. - $y=-7$

Choose the ordered pair which is a solution of the inequality. - $2 x+4 y \geq 8$ $(0,0),(1,1),(0,1),(2,1)$

Solve the problem. -Suppose the sales of a particular brand of appliance satisfy the relationship $y=100 x+2100$ , where $y$ represents the number of sales in year $x$ , with $x=0$ corresponding to 1982 . Find the number of sales in 1997.

Determine whether the given ordered pair is a solution of the equation. - $\mathrm{x}+\mathrm{y}=10 ;(5,4)$

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - $x+2 y=8 ;(2,3),(-6,7)$

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $y=2 x-3$ $8 x+4 y=8$

Graph the linear equation. - $4 y-8 x=-32$