Unit 4 Practice

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert an inequality to interval notation?

Back

To convert an inequality to interval notation, identify the endpoints and whether they are included (using brackets [ ] for inclusive and parentheses ( ) for exclusive).

Front

What is the maximum number of participants in a community center if each painting workshop accommodates 8 and each pottery workshop accommodates 12, with a total limit of 120 participants?

Back

The maximum number of participants is represented by the inequality 8x + 12y ≤ 120, where x is the number of painting workshops and y is the number of pottery workshops.

Front

How do you evaluate a quadratic function at a specific point?

Back

To evaluate a quadratic function like h(x) = ax² + bx + c at a point x = k, substitute k into the function and simplify.

Front

What defines a function in mathematics?

Back

A function is defined as a relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is the slope of a line in the context of a linear equation?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does the inequality 10 ≤ x < 30 represent in interval notation?

Back

The inequality 10 ≤ x < 30 is represented in interval notation as [10, 30).

Front

How do you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no x-value is repeated with different y-values.

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

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.