Semester 1 Review PD3

Front

What is a solution to a system of equations?

Back

A solution is a set of values that satisfies all equations in the system.

Front

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

Back

Substitute the point's coordinates into each equation. If all equations are satisfied, it is a solution.

Front

What is a linear inequality?

Back

An inequality that involves a linear expression, such as y > mx + b.

Front

What does the graph of a linear inequality represent?

Back

The region of the coordinate plane that satisfies the inequality.

Front

What is the difference between '>' and '<' in inequalities?

Back

'>' means greater than, while '<' means less than.

Front

What does 'y > 2x - 4' represent graphically?

Back

The area above the line y = 2x - 4.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What are the steps to solve a linear inequality?

Back

1. Isolate the variable. 2. Graph the boundary line. 3. Determine the solution region.

Front

What is the solution set of the inequality x > 2?

Back

All real numbers greater than 2.

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables.