Algebra 1 Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

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

Front

What is the solution to the system of equations: 3x + 2y = 16 and 7x + y = 19?

Back

The solution is (2, 5).

Front

What does the y-intercept of a line represent?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

How do you determine the y-intercept from the equation of a line in slope-intercept form (y = mx + b)?

Back

The y-intercept is the value of b in the equation, which is the point (0, b) on the graph.

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 the inequality 2x + 1 < -3?

Back

First, solve for x: 2x < -4, so x < -2. Then, graph a number line with an open circle at -2 and shade to the left.

Front

What does it mean if a graph has a closed circle on a number line?

Back

A closed circle indicates that the number is included in the solution set (e.g., x ≤ a).

Front

What does it mean if a graph has an open circle on a number line?

Back

An open circle indicates that the number is not included in the solution set (e.g., x < a).

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the graph that satisfies the inequality.