AnswersMO-Algebra II AMixed Degree Systems

Mixed Degree Systems Answers

0 verified answers
1
Free Preview

Which graph shows a system of equations with no solutions?

A
On a coordinate plane, the graphs of 2 circles are shown. Both circles have a center at (0, 0). The smaller circle is within the larger circle and the smaller circle has a radius that is 2 units smaller than the larger circle.
Option A
B
On a coordinate plane, a graph of a line and a parabola are shown. The line is horizontal to the x-axis at y = negative 5. The parabola opens up and its vertex on the line.
Option B
C
On a coordinate plane, the graphs of 2 circles are shown. Both circles are in quadrant 1, and they intersect each other.
Option C
D
On a coordinate plane, the graphs of 2 parabolas are shown. Both parabolas open up and they intersect each other at (0, 0). The first parabola has a vertex in quadrant 3 and the second parabola has a vertex in quadrant 4.
Option D
2
Free Preview

How many solutions exist for the mixed-degree system graphed below?

Question illustration
A
zero
B
one
C
two
D
three
3

Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of possible solutions to this system?

A
0
B
1
C
2
D
4
4

What are the solutions to the following system?

Question illustration
A
(0, 2)
B
(1, –2)
C
and
Option C
D
and
Option D
5

Which graph shows a system of equations with exactly one solution?

A
On a coordinate plane, a graph shows a smaller circle within a larger circle in quadrants 2 and 3. The larger circle is in both quadrants, but the smaller circle is in the middle of the larger circle in quadrant 2.
Option A
B
On a coordinate plane, the graph of a circle and a parabola are shown. The circle is in quadrant 3. The parabola has a vertex in quadrant 1 and goes through the circle in quadrant 3.
Option B
C
On a coordinate plane, the graph of a circle and a straight line are shown. The circle is in quadrant 1. The line has a negative slope and starts in quadrant 2, crosses the y-axis at (0, 3), and crossed the x-axis at (3, 0). The line does not go through the circle.
Option C
D
On a coordinate plane, the graphs of 2 parabolas are shown. One parabola opens down and the other opens up. They share the same vertex in quadrant 2.
Option D
6

The vertex of a parabola is in the first quadrant of a coordinate grid. A line with a negative slope passes through the origin. If the parabola and line intersect at the origin, which statement must be true?

A
The parabola opens downward.
B
The parabola opens upward.
C
The slope of the line is equal to –1.
D
The slope of the line is not equal to –1.
7

Consider the following system of equations.Which statement describes why the system has two solutions?

Question illustration
A
Each graph has one y-intercept, which is a solution.
B
Each graph has one vertex, which is a solution.
C
The graphs of the equations intersect the x-axis at two places.
D
The graphs of the equations intersect each other at two places.
8

How many solutions exist for the system of equations in the graph?

Question illustration
A
one
B
two
C
three
D
four
9

What are the solutions of the following system?

Question illustration
A
and
Option A
B
and
Option B
C
(6, 312) and (–6, 312)
D
(6, 312) and (–6, –264)
10

What are the solutions of the following system?

Question illustration
A
(0, –5) and (–5, 5)
B
(0, –5) and (5, –15)
C
(0, –5) and (–4, 3)
D
(0, –5) and (4, –13)

Did you find these answers helpful?

More from this Course

Quiz
17 verified answers

Mixed Degree Systems

Quiz
10 verified answers

Mixed Degree Systems

Quiz
10 verified answers

Modeling with Systems