S1 Final Exam Flashcardizz Review

Front

What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is a point that satisfies all inequalities in the system, meaning it lies in the overlapping region of the graphs of the inequalities.

Front

How do you find the solution for x in an equation?

Back

To find the solution for x, isolate x on one side of the equation using inverse operations such as addition, subtraction, multiplication, or division.

Front

What is slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does the y-intercept represent in a graph?

Back

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

Front

What is the significance of the point (0, b) in slope-intercept form?

Back

The point (0, b) represents the y-intercept of the line, where b is the value of y when x is 0.

Front

How can you identify the equation of a line from its graph?

Back

You can identify the equation of a line from its graph by determining its slope and y-intercept, then using the slope-intercept form.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≤ or ≥), while a dashed line indicates that points on the line are not included ( < or >).