Review for Semester Exam Part 1

Front

What is the AC method in factoring trinomials?

Back

The AC method involves multiplying the coefficient of the quadratic term (A) by the constant term (C) and finding two numbers that multiply to AC and add to the linear coefficient (B).

Front

What does it mean for two lines to intersect at a point on a graph?

Back

It means that the two equations represented by the lines have a common solution, which is the coordinates of the intersection point.

Front

How do you determine the intervals where a graph is decreasing?

Back

A graph is decreasing on intervals where the slope of the tangent line is negative, which can be found by analyzing the first derivative of the function.

Front

What is the Greatest Common Factor (GCF) of a polynomial?

Back

The GCF of a polynomial is the largest polynomial that divides all terms of the polynomial without leaving a remainder.

Front

How do you subtract complex numbers?

Back

To subtract complex numbers, subtract the real parts and the imaginary parts separately.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be written as the square of a binomial, such as (a + b)² = a² + 2ab + b².

Front

What is the difference of squares?

Back

The difference of squares is a factoring technique used for expressions in the form a² - b², which can be factored as (a + b)(a - b).

Front

What does it mean for a system of equations to be consistent?

Back

A system of equations is consistent if it has at least one solution, meaning the graphs of the equations intersect at one or more points.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.