Solving Linear-Quadratic Systems Answers

Which represents the solution(s) of the system of equations, y = –x2 + 6x + 16 and y = –4x + 37? Determine the solution set algebraically.

Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.

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 parabola will have one real solution with the line y = x – 5?

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

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

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

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

The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table. Which represents the solution(s) of this system of equations?