EOC Category 1 - Number & Algebraic Methods.

Front

What is the square root of the expression (144k^2r^14) for positive values of k and r?

Back

12kr^7

Front

What is a function in terms of a relation between x and y?

Back

A function is a relation where each input (x) has exactly one output (y).

Front

What does it mean if an expression has no real factors?

Back

It means that the expression cannot be factored into real number components, indicating it may be irreducible over the reals.

Front

How do you find the area of a rectangular or polygonal shape?

Back

The area can be found by multiplying the length by the width for rectangles, or using specific formulas for other shapes.

Front

What is the process of factoring a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of two binomials, if possible.

Front

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

Back

The discriminant determines the nature of the roots of the quadratic equation: if it's positive, there are two real roots; if zero, one real root; if negative, no real roots.

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

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

How do you determine if a table of values represents a function?

Back

A table represents a function if each x-value corresponds to exactly one y-value.

Front

What is the process of simplifying an algebraic expression?

Back

Simplifying involves combining like terms and reducing the expression to its simplest form.