Solving Linear-Quadratic Systems Answers
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Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.
A
(–2, 0)B
(–2, 0) and (2, 0)C
(–2, 0) and (3, 5)D
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Which represents the solution(s) of the system of equations, y = –x2 + 6x + 16 and y = –4x + 37? Determine the solution set algebraically.
A
(3, 25)B
(–3, 49)C
(3, 25) and (7, 9)D
(–3, 49) and (–7, 65)3
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?
A
Set y = 0 in y = –x2 – 4x – 3.B
Factor each side of the equation.C
Use substitution to create a one-variable equation.D
Combine like terms onto one side of the equation.4
Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?
A
(1, 0) and (0, –1)B
(–2, –3) and (1, 0)C
(0, –3) and (1, 0)D
(–3, –2) and (0, 1)5
Which graph shows a system of equations with a solution at (–1, 1)?
A
Option
B
Option
C
Option
D
Option
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