Algebra Semester 1 Review 2022-2023 (Units 1-6)

Front

What is a dashed line in an inequality graph?

Back

A dashed line indicates that the points on the line are not included in the solution set of the inequality.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, then the point is a solution.

Front

What does a residual plot indicate in data analysis?

Back

A residual plot shows the difference between observed and predicted values, helping to assess the fit of a model.

Front

What is the average rate of change formula?

Back

Average Rate of Change = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1).

Front

What type of function is represented by a U-shaped graph?

Back

Quadratic function.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant and b is a positive real number.

Front

What does it mean for a scatter plot to have a correct linear fit?

Back

It means that the data points closely follow a straight line, indicating a linear relationship between the variables.

Front

How do you identify the slope of a line from a graph?

Back

The slope is the ratio of the rise (change in y) over the run (change in x) between two points on the line.

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.