STAAR Algebra 2022 #1-18

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you determine the domain of a function in a real-world context?

Back

Identify the constraints of the situation, such as maximum or minimum values, and express these as a set of possible inputs.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What is a vertical shift in a function's graph?

Back

A vertical shift occurs when the entire graph of a function moves up or down without changing its shape.

Front

How does the equation n(x) = x² - 1 relate to f(x) = x²?

Back

n(x) = x² - 1 represents a vertical shift down of the graph of f(x) = x² by 1 unit.

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 of a line given two points?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

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