Algebra 1 MAAP review

Front

What is the value of g(7) if g(x) is a function that outputs 17 when x is 7?

Back

g(7) = 17

Front

How do you complete the square for the equation x^2 + 4x = 3?

Back

To complete the square, rewrite it as (x + 2)^2 = 7.

Front

What is the product of (m-8)(m-9)?

Back

The product is m^2 - 17m + 72.

Front

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

Back

A graph is constant on an interval if the y-value does not change for all x-values in that interval.

Front

How do you find the maximum height of a projectile modeled by a quadratic function?

Back

Complete the square to find the vertex of the parabola, which gives the maximum height.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax^2 + bx + c.

Front

What is the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a).

Front

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

Back

The discriminant (b^2 - 4ac) determines the number of real solutions: positive means 2 solutions, zero means 1 solution, negative means no real solutions.

Front

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

Back

Analyze the first derivative of the function; where the derivative is positive, the function is increasing, and where it is negative, the function is decreasing.

Front

What is the formula for the height of an object thrown upwards?

Back

The height can be modeled by the equation y = -16t^2 + vt + h, where v is the initial velocity and h is the initial height.