Test 7 - Systems/Matrix - Review - Flashcardziz

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution to the system is the point(s) where the equations intersect on a graph.

Front

How can you find the solution to a system of equations graphically?

Back

You can find the solution to a system of equations graphically by plotting the equations on a graph and identifying the point(s) where the graphs intersect.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c.

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the non-negative value of its input, typically in the form f(x) = |x|.

Front

How do you determine the x-intercepts of a quadratic function?

Back

To determine the x-intercepts of a quadratic function, set the function equal to zero and solve for x.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots of a quadratic equation: if it's positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns, used to represent and solve systems of equations.

Front

How do you find the determinant of a 2x2 matrix?

Back

The determinant of a 2x2 matrix [[a, b], [c, d]] is calculated as ad - bc.