6th Grade Advanced Inequalities Test

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 '>' mean?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y is less than or equal to 10.

Front

How do you solve the inequality 16 + m > 40?

Back

To solve for m, subtract 16 from both sides: m > 40 - 16, so m > 24.

Front

Is m = 16 a solution for the inequality 16 + m > 40?

Back

No, because 16 + 16 = 32, which is not greater than 40.

Front

What is a solution to the inequality x < 8?

Back

Any number less than 8, such as 7, 0, or -3.

Front

Which inequality is satisfied by x = 7?

Back

The inequality 5x > 30 is satisfied because 5(7) = 35, which is greater than 30.

Front

How do you represent the situation: Samantha had $22.50 and now has more than $32.00?

Back

The inequality is 22.50 + x > 32, where x is the amount of money she received.