Algebra Ch 5 Practice Test

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a region of the coordinate plane.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed line (for < or >) or a solid line (for ≤ or ≥). Then, shade the region that satisfies the inequality.

Front

What does the symbol '>' indicate in an inequality?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

What does the symbol '≥' indicate in an inequality?

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.

Front

What is a test point in the context of inequalities?

Back

A test point is a specific point chosen to determine which side of the boundary line to shade when graphing an inequality.

Front

How do you determine the shading for the inequality '2x - 5y ≥ -10'?

Back

You can use a test point, such as (0, 0). If the point satisfies the inequality, shade the region that includes the point; otherwise, shade the opposite region.

Front

What is the difference between 'AND' and 'OR' in compound inequalities?

Back

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

Front

Write the inequality represented by the graph that includes all x-values from -2 to 5, inclusive of -2 but not 5.

Back

-2 ≤ x < 5

Front

Write the inequality represented by the graph that includes all x-values less than or equal to -2 or greater than 5.

Back

x ≤ -2 OR x > 5

Front

What does the graph of 'y > -2' look like?

Back

The graph is a dashed horizontal line at y = -2, with shading above the line.