BEGINNING ALGEBRA - Olson
(Spring, 2006)
Chapter 3 QUIZ
Form A
Total possible = 50 pts. Use pencil. Put all work on your loose-leaf paper (or graph paper) and all twodimensional graphs on graph paper. Keep problems in the order given here (but you may work them in any
order). Show work. Little credit will be given for unsupported answers. Step DOWN between steps. Circle
final answers for multi-step problems (not necessary for graphs). You will KEEP THIS PAGE, so make sure to
put all work on your work paper.
(10 pts each) Graph each equation (in two dimensions) on graph paper.
Do all the following as part of this process for maximum credit.
Find all intercepts. Find (at least) three ordered pairs in all for each non-horizontal-non-vertical line.
Put ordered pairs found in a t-table.
(3 pts) Label appropriately: axes, scale, intercepts as ordered pairs (as seen in class).
1)
6x – 5y = 30
2)
1
y = − x +1
3
3)
x = –3
4) (5 pts) Find the slope of the line that passes through the given pair of points.
(–2, 3) and (6, –2)
5) (5 pts) Determine whether the pair of lines are parallel, perpendicular, or neither. (NOTE: Graphing is
insufficient, you must use algebraic reasoning.)
10 + 3x = 5y
5x + 3y = 1
6) (5 pts) One of Japan’s superconducting “bullet” trains is researched and tested at the Yamanashi Maglev
Test Line near Otsuki City. The steepest section of the track has a rise of 2580 meters for a horizontal
distance of 6450 meters. What is the grade for this section of track?
2580
meters
6450 meters
7) (3 pts) Graph the inequality on graph paper. Label: the boundary (with its equation), axes, scale.
6x – 5y > 30
8) (2 pts) Matching. Complete the following statements using the words/phrases in the list. Write just the
Roman numeral of the sentence and then the letter by the word/phrase on your work paper. Some words
may not be used, and some may be used more than once. Some sentences require more than one response.
a) Cartesian
c) linear
e) solution
g) x-intercept
i) y-intercept
b) inequality
d) slope
f) x-axis
h) y-axis
I. Any expression/equation/inequality can be recognized as
because all the variables are raised to the
first power. This type of equation can be written in the form Ax + By = C.
II. A
of an equation in two variables is an ordered pair of values that makes the equation a true
statement upon replacement.
III. A
is a point on a graph where it crosses the y-axis.
IV. The
of a line measures the steepness or tilt of a line.
V. The horizontal number line in the rectangular coordinate system is called the
.
VI. The rectangular coordinate system is also known as the
coordinate system.
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