Algebra 1 MAAP review

Front

What is the zero of a quadratic equation?

Back

The zero of a quadratic equation is the value of x that makes the equation equal to zero. It can be found by factoring, using the quadratic formula, or completing the square.

Front

How do you factor the quadratic equation x^2 - 4x + 4?

Back

The equation can be factored as (x - 2)(x - 2) or (x - 2)^2.

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis, which occurs when y = 0.

Front

How do you find the x-intercept of the equation y = x^2 - 4x + 4?

Back

Set y to 0 and solve the equation: 0 = x^2 - 4x + 4. The x-intercept is x = 2.

Front

What does it mean for a graph to be decreasing on an interval?

Back

A graph is decreasing on an interval if, as x increases, the value of y decreases.

Front

How can you determine the intervals where a function is increasing or decreasing?

Back

You can determine the intervals by analyzing the first derivative of the function or by observing the graph.

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 is the point(s) where the equations intersect.

Front

How do you solve a system of equations graphically?

Back

To solve graphically, plot both equations on the same graph and identify the point(s) where they intersect.

Front

What is the solution to the system of equations y = 2x + 1 and y = x + 4?

Back

The solution is the point (3, 7), where the two lines intersect.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation. It represents the maximum or minimum value of the function.