Solving Linear-Quadratic Systems Answers

The first step in determining the solution to the system of equations, y = –x2 – 4x – 3 and y = 2x + 5, algebraically is to set the two equations equal as –x2 – 4x – 3 = 2x + 5. What is the next step?

Which graph most likely shows a system of equations with one solution?

Which line will have no solution with the parabola y – x + 2 = x2?

Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? Determine the solution set algebraically.

Which graph shows a system of equations with a solution at (–1, 1)?

Which graph most likely shows a system of equations with two solutions?

The first two steps in determining the solution set of the system of equations, y = x2 – 2x – 3 and y = –x +3, algebraically are shown in the table. Which represents the solution(s) of this system of equations?

Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?

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