1
y = -2
Chapter 19 · Graphical Representation
Chapter challenge
Ten problems drawn from every lesson in the chapter. Get each one right on your first try for a perfect score. A new set is drawn each time.
0first-try
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From Graphing Linear Equations, exercise 12
Graph each equation on paper, then say where the line crosses each axis. Type none if it never crosses that axis, or any if the line is that axis.
From Graphing Linear Equations, exercise 1
Graph each equation on paper, then say where the line crosses each axis. Type none if it never crosses that axis, or any if the line is that axis.
2
x + y = 6
From Coördinates and Plotting Points, exercise 3
Plot each point on paper (one unit = ½ inch or 1 cm). Then give the quadrant it lies in: 1, 2, 3, or 4, or 0 if the point is on an axis.
3
(0, 4); (0, -4); (4, 0); (-4, 0)
From The Graph of an Equation, exercise 7
Find pairs of values for x and y which satisfy each equation (have at least one negative value for x and one for y), then plot the points. Give the values asked for.
4
y = 2 x
From Reading a Graph: The Temperature Curve, exercise 3
Use the temperature graph above. Give numbers only; the units are filled in.
5
About what time was the highest temperature recorded? the lowest?
From The Falling-Body Curve, exercise 2
Use the falling-body graph above. Readings from a graph are approximate; answers within a few feet (or a tenth of a second) are accepted.
6
How many seconds does a body require to fall 400 feet? 196 feet? 100 feet? 25 feet? 120 feet? 750 feet?
From Graphing Linear Equations, exercise 18
Graph each equation on paper, then say where the line crosses each axis. Type none if it never crosses that axis, or any if the line is that axis.
7
Is the point (3, 4) on the line whose equation is 3x - 4y = 12? Is (0, 4)? Is (4, 0)?
From Graphs of Statistics, exercise 2
These questions use the statistical graphs above. Readings from a curve are approximate; answers close to the graph's value are accepted.
8
The depths of a river at points 50 feet apart in a straight line across it are given in the table and the profile above. What is the greatest depth, and how far from the first bank is it? How wide is the river along this line?
From The Graph of an Equation, exercise 3
Find pairs of values for x and y which satisfy each equation (have at least one negative value for x and one for y), then plot the points. Give the values asked for.
9
3 x - 4 y = 12
From Solving Two Equations Graphically, exercise 13
Solve each pair graphically: graph both equations on paper, read off the point where the lines cross, and verify by substituting. If the lines never meet, type none in both boxes.
10
\begin{cases} 2 x - y = 6 \\ 4 x - 2 y = 8 \end{cases}