STAAR Final Review

Front

What is the formula for exponential growth with an initial amount and a percentage increase?

Back

The formula is y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate (as a decimal), and 'x' is the number of time periods.

Front

What does the expression (2a + 5)(3a - 2) represent when expanded?

Back

The expanded form is 6a^2 + 11a - 10.

Front

How do you factor the expression 30x^2 - 4x - 16?

Back

One factor of the expression is 5x - 4.

Front

What is the factored form of the expression 24gh - 12g^2 + 18g?

Back

The factored form is 6g(4h - 2g + 3).

Front

What is the vertex of a quadratic function represented graphically?

Back

The vertex is the highest or lowest point of the graph, for example, (-2, -5).

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, b).

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images, given by the equation x = -b/(2a).

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and is represented by a straight line, while a quadratic function has a variable rate of change and is represented by a parabola.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

How do you determine the roots of a quadratic equation?

Back

The roots can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).