Algebra Keystone Review (Module 1)

Front

What is a system of linear inequalities?

Back

A system of linear inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you determine if an ordered pair is a solution to a system of linear inequalities?

Back

To determine if an ordered pair is a solution, substitute the values of the ordered pair into each inequality. If the pair satisfies all inequalities, it is a solution.

Front

Evaluate -2|n + 5| when n = -11.

Back

-12

Front

What is the formula to calculate distance based on miles per gallon?

Back

Distance = Miles per Gallon × Gallons Used.

Front

If George's car can travel 28 miles per gallon and he used 10 gallons, how far has he driven?

Back

280 miles.

Front

What is the simplified form of √640?

Back

8√10.

Front

What is an inequality?

Back

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

Front

How do you graph an inequality on a number line?

Back

To graph an inequality, draw a number line, place a circle on the number for the inequality, and shade in the direction indicated by the inequality sign.

Front

What does it mean to simplify a radical expression?

Back

To simplify a radical expression means to rewrite it in its simplest form, removing any perfect square factors from under the radical.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation shows equality between two expressions, while a linear inequality shows that one expression is greater than or less than the other.