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Hotmath Practice Problems

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Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Graphing Linear EquationsSection:Graphing Linear Equations
 

Problem: 1

Do the following points lie on the graph of the line y = –3? Justify your answer algebraically.

a. (–3, 0)

b. (0, –3)

 

Problem: 3

Is the ordered pair (–4, 6) a solution of the equation

3y – 2x = 20?

 

Problem: 5

Decide whether the given ordered pair (–1, –6) is a solution of the equation

y = –6.

 

Problem: 7

Decide whether the ordered pair (4, –2) is a solution of the equation

3y – 5x = –18.

 

Problem: 9

Using three points, graph the linear equation x + 3y = 9.

 

Problem: 11

Using three points, graph the linear equation.

x + 3y = 6

 

Problem: 13

Using three points, graph the linear equation –x + 5y = 6.

 

Problem: 15

Using three points, graph the linear equation.

x + 2y = 4

 

Problem: 17

Using three points, graph the linear equation 4x + y = 12.

 

Problem: 19

Using three points, graph the linear equation.

3x + y = 9

 

Problem: 21

Using three points, graph the linear equation 4y – 8 = 12x.

 

Problem: 23

Using three points, graph the linear equation 3x – 5y = 14.

 

Problem: 25

Using three points, graph the linear equation.

2y – 2 = 6x

 

Problem: 27

Using three points, graph the linear equation 3x + 9y = 15.

 

Problem: 29

Use a table of values to graph the equation:

y = –3x + 4

 

Problem: 31

Use a table of values to graph the equation:

y = –4(x – 3)

 

Problem: 33

Use a table of values to graph the equation:

y = 6x – 2

 

Problem: 35

Use a table of values to graph the equation:

x – 3y = 9

 

Problem: 37

Graph the given equation using a table of values.

y – 7x = –3

 

Problem: 39

Graph the given equation using a table of values.

4x + y = 7

 

Problem: 41

Graph the given equation using a table of values.

x + 2y = 36

 

Problem: 43

Graph the two lines y = 7 and x = –3 on the same coordinate plane. Use the graph to find the coordinates of the point where the lines intersect.

 

Problem: 45

Graph the two lines x = 5 and y = –3 on the same coordinate plane. Use the graph to find the coordinates of the point where the lines intersect..

 

Problem: 47

Determine the equations for the horizontal and vertical lines passing through the point (5, –4).

 

Problem: 49

Determine the equations for the horizontal and vertical lines passing through the point (6, 19).