Unit 2 EOU Review

Front

What is a system of inequalities?

Back

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

Front

Define the term 'variable' in mathematics.

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does the inequality 2x - 3y < 15 represent graphically?

Back

It represents a region on the coordinate plane where all points (x, y) satisfy the inequality, typically shown as a shaded area below the line 2x - 3y = 15.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a solid line (if ≤ or ≥) or dashed line (if < or >). 2. Shade the region that satisfies the inequality.

Front

What is the meaning of 'at most' in mathematical terms?

Back

'At most' indicates a maximum limit. For example, 'at most 25' means the value can be 25 or any number less than 25.

Front

How do you define a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x) where x is the input.

Front

What is the purpose of using variables in equations?

Back

Variables allow us to represent unknown quantities and formulate relationships between different quantities in mathematical expressions.

Front

Explain the concept of 'slope' in a linear equation.

Back

The slope of a line measures its steepness and direction, calculated as the change in y over the change in x (rise/run).

Front

What does it mean to 'solve an inequality'?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.