1
4x^2 - 9y^2 = 36
Chapter 24 · Graphs of Quadratic Equations in Two Variables
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
0of 10 done
From Parabola, Hyperbola, Circle, and Ellipse, exercise 9
Construct the graphs of the following equations, state the name of the curve obtained, and answer the question about it.
From Graphical Solution of a Quadratic System, exercise 4
If possible, solve graphically each of the following systems. Give each set of roots as a pair (x, y); type none if the graphs do not meet.
2
\begin{cases} x^{2} + y^{2} = 9 \\ x - y = 8 \end{cases}
From Parabola, Hyperbola, Circle, and Ellipse, exercise 6
Construct the graphs of the following equations, state the name of the curve obtained, and answer the question about it.
3
9x^2 + 4y^2 = 36
From Graphical Solution of a Quadratic System, exercise 5
If possible, solve graphically each of the following systems. Give each set of roots as a pair (x, y); type none if the graphs do not meet.
4
\begin{cases} x^{2} + y^{2} = 16 \\ x^{2} - y^{2} = 9 \end{cases}
From Parabola, Hyperbola, Circle, and Ellipse, exercise 1
Construct the graphs of the following equations, state the name of the curve obtained, and answer the question about it.
5
x^2 = 4y
From Graphical Solution of a Quadratic System, exercise 8
If possible, solve graphically each of the following systems. Give each set of roots as a pair (x, y); type none if the graphs do not meet.
6
\begin{cases} x^{2} = 4 y + 18 \\ 3x - 4y = 20\tfrac14 \end{cases}
From Parabola, Hyperbola, Circle, and Ellipse, exercise 7
Construct the graphs of the following equations, state the name of the curve obtained, and answer the question about it.
7
xy = 12
From Graphical Solution of a Quadratic System, exercise 6
If possible, solve graphically each of the following systems. Give each set of roots as a pair (x, y); type none if the graphs do not meet.
8
\begin{cases} x^{2} + y^{2} = 9 \\ x^{2} - y^{2} = 16 \end{cases}
From Graphical Solution of a Quadratic System, exercise 9
If possible, solve graphically each of the following systems. Give each set of roots as a pair (x, y); type none if the graphs do not meet.
9
\begin{cases} x^{2} = 4 y + 18 \\ 3 x - 4 y = 24 \end{cases}
From Parabola, Hyperbola, Circle, and Ellipse, exercise 2
Construct the graphs of the following equations, state the name of the curve obtained, and answer the question about it.
10
y^2 + 4x = 0