What is a system of equations?
9.5 - Solving systems with linear and quadratic functions

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Mathematics
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9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.
2.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.
3.
FLASHCARD QUESTION
Front
What is a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically written in the form y = ax^2 + bx + c, where a, b, and c are constants.
4.
FLASHCARD QUESTION
Front
How do you find the intersection of a linear and a quadratic function?
Back
To find the intersection, set the equations equal to each other and solve for x. Then substitute x back into either equation to find y.
5.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to a system of equations?
Back
A point is a solution if it satisfies all equations in the system, meaning it makes all equations true when substituted.
6.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point of the parabola represented by the quadratic function, found using the formula x = -b/(2a).
7.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is the part of the quadratic formula under the square root, given by b^2 - 4ac. It determines the nature of the roots.
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