Algebra 2 Semester 1 Final

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

Back

The solution represents the set of all points (x, y) that lie on the line defined by the slope m and y-intercept b.

Front

What does it mean when two lines have 'infinitely many solutions'?

Back

It means that the two lines overlap completely, sharing all points in common.

Front

What is the slope-intercept form of a line?

Back

Front

Back

To graph this equation, start at the origin (0,0) and use the slope of 2/3 to find another point. For every 3 units you move right, move 2 units up.

Front

What is the difference between 'and' and 'or' in inequalities?

Back

'And' means both conditions must be true simultaneously, while 'or' means at least one of the conditions must be true.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the solutions that satisfy the inequality, often shaded in a specific region.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, such as x < 3 and x > 5, which can be represented on a number line.