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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Linear Relationships and FunctionsSection:Graphing Linear Equations
 

Problem: 1

Find the x–intercept and the y–intercept of 2x – 4y = 16.


Problem: 3

Find the x–intercept and the y–intercept of 36 x + 3y = 9.


Problem: 5

What is the x–intercept and the y–intercept of 6x – 9y = 12?


Problem: 7

What is the x–intercept and the y–intercept of 20 x + 5y = –10?


Problem: 9

Find the equation of the line having a slope of m = –1 and y– intercept b of 3.


Problem: 11

Find the equation of the line having a slope of m = 1/3 and y– intercept b of 5/3.


Problem: 13

Find the equation of the line having a slope of m = 1.8 and y– intercept b of –0.9.


Problem: 15

Determine the y–intercept and the slope of y = 7x + 14.

Using these values, plot the line on a graph.


Problem: 17

Determine the y–intercept and the slope of the given line. Using these values, plot the line on a graph.


Problem: 19

Determine the y–intercept and the slope of the given line. Using these values, plot the line on a graph.


Problem: 21

Graph the line whose x–intercept is 2 and whose y–intercept is 6.


Problem: 23

Graph the line whose x–intercept is –4 and whose y–intercept is 9.


Problem: 25

Graph the line whose x–intercept is –4 and whose y–intercept is –2.


Problem: 27

Determine the value of r so that a line through the points with the given

coordinates has slope 4. Draw a sketch for the situation.

(3, 6), (7, r)


Problem: 29

Graph a line passing through (2, 4) that is parallel to a line whose slope is 2.


Problem: 31

Graph a line passing through (2, 2) that is perpendicular to the graph of y = 2.


Problem: 33

Graph a line passing through (–2, –5) that has an undefined slope.


Problem: 35

Graph the line perpendicular to the graph of 4x – 3y = 12 that intersects it at its

x–intercept.


Problem: 37

The cost C(in dollars) of placing a color advertisement in a newspaper can be modeled by C = 6n + 17 where n is the number of lines in the ad. Graph the equation. What do the slope and the C–intercept represent?


Problem: 39

A car wash charges $9 per wash and $11 per wash–and–wax. After a busy day the sales totaled $3528. Write an algebraic model and graph the equation.


Problem: 41

The cost of a student ticket was $3.50 and that of an adult ticket was $9.00 at a high school basket ball game. The total ticket sales at the first game was $8400.

Write an algebraic model that shows the number of tickets that could have been sold and graph the model.


Problem: 1

Find the x–intercept and the y–intercept of 2x – 4y = 16.


Problem: 3

Find the x–intercept and the y–intercept of 36x+ 3y = 9.


Problem: 5

What is the x–intercept and the y–intercept of 6x – 9y = 12?


Problem: 7

What is the x–intercept and the y–intercept of 20x + 5y = –10?


Problem: 9

Find the equation of the line having a slope of m = –1 and y– intercept b of 3.


Problem: 11

Find the equation of the line having a slope of m = 1/3 and y– intercept b of 5/3.


Problem: 13

Find the equation of the line having a slope of m = 1.8 and y– intercept b of –0.9.


Problem: 15

Determine the y–intercept and the slope of y = 7x + 14.

Using these values, plot the line on a graph.


Problem: 17

Determine the y–intercept and the slope of the given line. Using these values, plot the line on a graph.


Problem: 19

Determine the y–intercept and the slope of the given line. Using these values, plot the line on a graph.


Problem: 21

Graph the line whose x–intercept is 2 and whose y–intercept is 6.


Problem: 23

Graph the line whose x–intercept is –4 and whose y–intercept is 9.


Problem: 25

Graph the line whose x–intercept is –4 and whose y–intercept is –2.


Problem: 27

Determine the value of r so that a line through the points with the given

coordinates has slope 4. Draw a sketch for the situation.

(3, 6), (7, r)


Problem: 29

Graph a line passing through (2, 4) that is parallel to a line whose slope is 2.


Problem: 31

Graph a line passing through (2, 2) that is perpendicular to the graph of y = 2.


Problem: 33

Graph a line passing through (–2, –5) that has an undefined slope.


Problem: 35

Graph the line perpendicular to the graph of 4x – 3y = 12 that intersects it at its

x–intercept.


Problem: 37

The cost C(in dollars) of placing a color advertisement in a newspaper can be modeled by C = 6n + 17 where n is the number of lines in the ad. Graph the equation. What do the slope and the C–intercept represent?


Problem: 39

A car wash charges $9 per wash and $11 per wash–and–wax. After a busy day the sales totaled $3528. Write an algebraic model and graph the equation.


Problem: 41

The cost of a student ticket was $3.50 and that of an adult ticket was $9.00 at a high school basket ball game. The total ticket sales at the first game was $8400.

Write an algebraic model that shows the number of tickets that could have been sold and graph the model.