A little Algebra review

Front

What are the roots (x-intercepts) of the function f(x)= (x - 2)(x + 3)?

Back

x = 2 or x = -3

Front

Write the equation for the graph shown: y = -2x + 9

Back

y = -2x + 9

Front

Write an equation in slope-intercept form with slope = -2/3 and y-intercept = (0, -9)

Back

y = -\frac{2}{3}x - 9

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the vertex of the function f(x) = ax^2 + bx + c?

Back

The vertex is given by the formula \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

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 is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

What is the formula for the slope between two points (x1, y1) and (x2, y2)?

Back

The slope m = \frac{y2 - y1}{x2 - x1}.