Algebra EOC Study Guide

Front

What is a system of linear inequalities?

Back

A system of linear inequalities consists of two or more inequalities that involve the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

How do you determine if a point is a solution to a system of linear inequalities?

Back

To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

Front

What does it mean for an expression to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable(s) involved.

Front

What is the formula for the perimeter of a square?

Back

The perimeter P of a square with side length s is given by P = 4s.

Front

What does it mean for a function to double?

Back

A function doubles when its output value becomes twice as large for each unit increase in the input.

Front

What is the initial value in a cell duplication function?

Back

The initial value is the starting number of cells before any duplication occurs.

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 linear equation and a linear inequality?

Back

A linear equation shows equality (e.g., y = mx + b), while a linear inequality shows a range of values (e.g., y < mx + b or y > mx + b).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.