### Algebra Questionbook - Graphs    © '01, A. Azzolino

graf1. In algebra, an idea may be expressed in many ways.
Here words, symbols, numbers, and a graph are required.

1st: Complete the table using symbols & numbers.
 Written words: a number one more than a number one less than a number Written symbols: x Usings numbers: 0 1 2 3 -1 -2 1/2

2nd: The graph for "a number" has been completed for you.
Use the table above and the plane below to complete
the two remaining graphs.
3rd: How are the other two graphs similar & different
from the graph of "a number?"

graf2. In algebra, an idea may be expressed in many ways.
Here words, symbols, numbers, and a graph are required.

1st: Complete the table using symbols & numbers.
 Written words: a number double a number triple a number Written symbols: x Usings numbers: 0 1 2 3 -1 -2 1/2

2nd: The graph for "a number" has been completed for you.
Use the table above and the plane below to complete
the two remaining graphs.
3rd: How are the other two graphs similar & different
from the graph of "a number?"

 graf3. 1. Graph a vertical line which goes through the point (-3,4).  2. Name this line with an equation._________________  3. Graph a horizontal line which contains the point (2,3).  4. Name this line with an equation._________________

 graf4. Discuss the slopes of vertical lines, "tilted" or oblique lines, and horizontal lines. Give examples of the arithmetic computation of each.

 graf5. The line y = 5x - 4 may be graphed quickly by a method called slope-intercept. In 5 or fewer steps, state how this method is completed.

 graf6. You have been given the points (3,-4) and (2, 6). List at least 3 different things your instructor might ask you to do on the next test with this information.

 graf7. State the equation of a line 1.) parallel to y = -2x + 4; _________________  2.) intersecting y = -2x + 4; _________________  3.) coincident to y = -2x + 4. _________________

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