Semester #1 Final (IM2) 23-24

Front

What is the y-intercept of a graph?

Back

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

Front

What does FOIL stand for in algebra?

Back

FOIL stands for First, Outside, Inside, Last; a method for multiplying two binomials.

Front

How do you convert a negative exponent to a positive exponent?

Back

To convert a negative exponent to a positive exponent, take the reciprocal of the base raised to the absolute value of the exponent.

Front

What is the result of simplifying (xy^2)^4?

Back

The result is x^4y^8.

Front

What are coefficients in a polynomial?

Back

Coefficients are the numerical factors in front of the variables in a polynomial.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What is the difference between a term and a polynomial?

Back

A term is a single mathematical expression, while a polynomial is a sum of two or more terms.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.