AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYMixed Degree Systems

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1
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Which graph shows a system of equations with exactly one solution?

A
Image with description On a coordinate plane, two concentric circles has a center in the second quadrant. The smaller circle has a radius of 2 units, and the larger circle has a radius of 5 units.
B
Image with description On a coordinate plane, the circle is in the first quadrant with a radius of 3 units. The line passes through (0 comma 3) and (3 comma 0). The line does not intersect through the circle.
C
Image with description On a coordinate plane, the center of the circle lies in the third quadrant and has a radius of 3 units. The parabola opens downwards has a vertex in the first quadrant, and passes through the circle.
D
Image with description On a coordinate plane, the two parabolas have a common vertex. One of the parabola opens upwards, and the other opens downwards.
2
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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
4
D
2
3

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 slope of the line is not equal to negative 1 .
C
The slope of the line is equal to negative 1 .
D
The parabola opens upward.
4

Which system is equivalent to the given system? y is equal to negative 2 x squared y is equal to x minus 2

A
y is equal to negative 2 y squared minus 8 y minus 8 x is equal to y plus 2
B
y is equal to negative 2 y squared plus 8 y minus 8 x is equal to y minus 2
C
y is equal to negative 2 y squared minus 2 x is equal to y minus 2
D
y is equal to negative 2 y squared plus 2 x is equal to y plus 2
5

Which graph represents the solution of the following system? x squared plus y squared is equal to 4 x minus y is equal to 1

A
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. The center of circle is at the origin and has a radius of 4 units. The line passes through (negative 3 comma negative 4), (0 comma negative 1), and (1 comma 0).
B
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. The center of the circle is at the origin and has a radius of 2 units. The line passes through (negative 3 comma 4), (0 comma 1), and (1 comma 0).
C
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. The circle has a center at the origin and a radius of 4 units. The line goes through (negative 3 comma 4), (0 comma1), and (1 comma 0).
D
Image with description On a coordinate plane, the scale on the x and y axis ranges from negative 6 to 6 with an interval of 1 unit. The circle has a center at the origin and a radius of 2 units. The line goes through (negative 3 comma negative 4), (0 comma negative 1), and (1 comma 0).
6

Which graph shows a system of equations with no solutions?

A
Image with description On a coordinate plane, the line is parallel to the x axis and passes through (0 comma negative 5). The parabola opens upwards, and it touches the line at its vertex.
B
Image with description On a coordinate plane, two concentric circles have a center at the origin. The smaller circle has a radius of 2 units smaller than the larger circle.
C
Image with description On a coordinate plane, two circles are intersecting each other in the first quadrant.
D
Image with description On a coordinate plane, the two parabolas open up and intersect each other at the origin. The first parabola has a vertex in the third quadrant, and the second parabola has a vertex in the fourth quadrant.
7

Which equation is part of solving the system by substitution? x plus y is equal to 11 4 x squared minus 3 y squared is equal to 8

A
4 times open paren y minus 11 close paren squared minus 3 y squared is equal to 8
B
4 times open paren negative 11 y close paren squared minus 3 y squared is equal to 8
C
4 times open paren 11 minus y close paren squared minus 3 y squared is equal to 8
D
4 times open paren y plus 11 close paren squared minus 3 y squared is equal to 8
8

What are the solutions of the following system? x squared plus y squared is equal to 25 2 x plus y is equal to negative 5

A
open paren 0 comma negative 5 close paren and open paren 4 comma negative 13 close paren
B
open paren 0 comma negative 5 close paren and open paren negative 4 comma 3 close paren
C
open paren 0 comma negative 5 close paren and open paren negative 5 comma 5 close paren
D
open paren 0 comma negative 5 close paren and open paren 5 comma negative 15 close paren
9

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

A
one
B
zero
C
two
D
three
10

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

A
two
B
four
C
one
D
three

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