EOC Prep NC Math 3

Front

What is an absolute value equation?

Back

An absolute value equation is an equation that contains an absolute value expression, which represents the distance of a number from zero on the number line. For example, the equation |x - a| = b means that x is either a distance b above a or b below a.

Front

How do you write an absolute value equation for a situation where you hope to have 50 dollars but your calculation may be off by $15?

Back

The absolute value equation is |x - 50| ≤ 15.

Front

What is the centroid of a triangle?

Back

The centroid of a triangle is the point where the three medians intersect. It is also the center of mass of the triangle and divides each median into a ratio of 2:1.

Front

If BE = 21 in triangle ABC, how do you find the length of BG if G is the centroid?

Back

The length of BG is 14, as the centroid divides the median into a ratio of 2:1.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 3x^4 + 2x^3 - x + 5, the degree is 4.

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior of a polynomial function is determined by the leading term (the term with the highest degree). For example, if the leading term is positive and has an even degree, the ends of the graph will rise in both directions.

Front

What is the leading term of the polynomial 4x^5 - 4x^4 + 2x^3 - 9?

Back

The leading term is 4x^5.

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means to reduce it to its simplest form by canceling common factors in the numerator and denominator.

Front

How do you simplify the expression \( \frac{n+8}{n+3} \times \frac{n^2 - 5n - 24}{n^2 - 64} \)?

Back

The simplified expression is 1.

Front

What is the significance of the total multiplicity of a polynomial?

Back

The total multiplicity of a polynomial is the sum of the multiplicities of its roots, which helps in determining the degree of the polynomial.