Algebraic Reasoning Fall Semester Exam Review

Front

What is the factored form of the quadratic expression 2x^2 - 2x - 12?

Back

2(x + 2)(x - 3)

Front

How do you factor the expression m^2 - 13m - 30?

Back

(m - 15)(m + 2)

Front

What is the rate of change of y with respect to x for the line represented by the slope -5/6?

Back

The rate of change is -5/6.

Front

What is the equation of a vertical line that passes through x = 3?

Back

x = 3

Front

Define a quadratic expression.

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax^2 + bx + c.

Front

What is the standard form of a linear equation?

Back

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

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula (-b/2a, f(-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 formula for the slope of a line?

Back

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