Desmos Packet Review Test

Front

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

Back

The slope-intercept form is given by the equation 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 using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line that passes through the points (-6, -19) and (2, 5)?

Back

The equation is y = 3x - 1.

Front

What does the term 'system of inequalities' refer to in mathematics?

Back

A system of inequalities consists of two or more inequalities that are considered simultaneously.

Front

Back

To solve, multiply both sides by 2: x + 3 = -2, then x = -5.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

How do you evaluate a function at a specific point, for example, f(-1) for f(x) = 2x^2 + 5x - 17?

Back

Substitute -1 into the function: f(-1) = 2(-1)^2 + 5(-1) - 17 = -20.

Front

What is the y-intercept of a line?

Back

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

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation represents a straight line and has the form y = mx + b, while a quadratic equation has a parabolic shape and is of the form y = ax^2 + bx + c.

Front

What does it mean to graph a system of inequalities?

Back

Graphing a system of inequalities involves shading the regions of the graph that satisfy all inequalities in the system.