Algebra Semester 1 Review 2023-2024 (Units 1-6)

Front

What is the slope of a line that is perpendicular to the line represented by the equation y = -\frac{1}{3}x + 5?

Back

The slope of a line that is perpendicular to another line is the negative reciprocal of the original line's slope. Therefore, the slope is 3.

Front

What is the general form of a linear equation?

Back

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

Front

What does a quadratic function look like on a graph?

Back

A quadratic function graphs as a parabola, which can open upwards or downwards.

Front

How do you find the solution to a system of equations graphically?

Back

The solution to a system of equations is the point where the graphs of the equations intersect.

Front

What is the definition of correlation in statistics?

Back

Correlation measures the strength and direction of a linear relationship between two variables.

Front

What does a strong positive correlation indicate?

Back

A strong positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = \frac{y2 - y1}{x2 - x1}.

Front

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

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.

Front

What is the solution to the system of equations: y = \frac{1}{2}x - 2 and y = -2x + 3?

Back

The solution is (2, -1).

Front

What is the equation of a line in slope-intercept form?

Back

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