Algebra 1 Inequalities Test

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you solve the inequality 5(v + 3) - 10v > -10?

Back

First, simplify: 5v + 15 - 10v > -10. Combine like terms: -5v + 15 > -10. Then, subtract 15 from both sides: -5v > -25. Finally, divide by -5 (remember to flip the inequality): v < 5.

Front

What is the solution to the inequality 30 + n ≥ 50?

Back

To solve, subtract 30 from both sides: n ≥ 20.

Front

What does 's > 15' mean?

Back

It means that the variable s can take any value greater than 15.

Front

Which of the following is a solution to the inequality s > 15? (Options: 10, 12, 18, 0)

Back

The solution is 18, as it is the only number greater than 15.

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

How do you graph the inequality x ≤ -2 OR x > 5?

Back

On a number line, shade to the left of -2 (including -2) and to the right of 5 (not including 5).

Front

What is the solution set for the inequality n < 30?

Back

The solution set includes all real numbers less than 30.