Algebra Semester 1 Review 2022-2023 (Units 1-6)

Front

What is the standard form of a linear inequality?

Back

A linear inequality is expressed in the form Ax + By < C, Ax + By > C, Ax + By ≤ C, or Ax + By ≥ C, where A, B, and C are constants.

Front

How do you determine if a point is a solution to a linear inequality?

Back

A point (x, y) is a solution to a linear inequality if it satisfies the inequality when substituted into it. If the inequality is strict (>, <), the point cannot lie on the boundary line.

Front

What does it mean for a line to be dashed in a graph of a linear inequality?

Back

A dashed line indicates that points on the line are not included in the solution set of the inequality (i.e., the inequality is strict: < or >).

Front

What is the difference between causation and association?

Back

Causation implies that one event directly affects another, while association indicates a relationship between two variables without implying direct influence.

Front

How do you write a linear inequality from a word problem?

Back

Identify the variables, determine the relationship between them, and express the conditions using inequality symbols based on the context.

Front

Back

The solution is the point (2, -1), where the two lines intersect.

Front

What does it mean for a linear inequality to be in standard form?

Back

Standard form for a linear inequality is written as Ax + By ≤ C or Ax + By ≥ C, where A, B, and C are integers.

Front

What is the significance of the coefficients in a linear inequality?

Back

The coefficients determine the slope and position of the line represented by the inequality, affecting the solution set.

Front

How can you graph a linear inequality?

Back

First, graph the corresponding linear equation as a solid or dashed line, then shade the appropriate region based on the inequality symbol.

Front

What is the meaning of the inequality symbol '≤'?

Back

The symbol '≤' means 'less than or equal to', indicating that the values on the left can be equal to or less than the value on the right.