Algebra I Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every x-value has exactly one corresponding y-value (passes the vertical line test).

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

How do you solve a system of equations graphically?

Back

You graph each equation on the same coordinate plane and find the point(s) where they intersect.

Front

What is the definition of a linear inequality?

Back

A linear inequality is an inequality that can be written in the form ax + by <, >, ≤, or ≥ c.

Front

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a solid line (for ≤ or ≥) or dashed line (for < or >) and shade the appropriate region.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

What are the roots of a quadratic function?

Back

The roots are the x-values where the function equals zero (the points where the graph intersects the x-axis).

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.