Algebra 1 Final Exam 2024

Front

What is the definition of slope in a linear equation?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope of a line is positive?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you represent the solution set of an inequality graphically?

Back

The solution set of an inequality is represented on a number line or coordinate plane, often using shaded regions to indicate all possible solutions.

Front

What does the inequality x > -8 represent on a number line?

Back

It represents all numbers greater than -8, with an open circle at -8 and shading to the right.

Front

What is the solution to the inequality 10.6 < x?

Back

The solution is all numbers greater than 10.6.

Front

What is the graph of the inequality d < 2?

Back

The graph shows all values of d to the left of 2 on a number line, with an open circle at 2.