Multistep Equations and INequalities

Front

What is the definition of a 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 find 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 is the slope of the line represented by the equation y = (1/2)x + 3?

Back

The slope of the line is 1/2.

Front

What does it mean to solve an inequality?

Back

Solving an inequality involves finding all values of the variable that make the inequality true.

Front

What is the solution to the inequality -3n + 8 < 26?

Back

n > -6.

Front

What is the graphical representation of an inequality?

Back

An inequality is represented on a number line with an open or closed circle and a shaded region indicating the solution set.

Front

What is the slope of the line represented by the equation y = (4/3)x - 2?

Back

The slope of the line is 4/3.

Front

How do you graph the inequality 77 ≤ 5 + 8n?

Back

First, solve for n: n ≥ 9. Then, graph a closed circle at 9 and shade to the right.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (< or >) does not include the endpoint, while a non-strict inequality (≤ or ≥) includes the endpoint.

Front

What is the slope of the line represented by the equation y = -x + 1?

Back

The slope of the line is -1.