Review: Equations and Inequalities 6th Grade

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

How do you represent an inequality graphically?

Back

Inequalities are represented on a number line with open or closed circles. A closed circle indicates that the number is included (e.g., >= or <=), while an open circle indicates that it is not included (e.g., > or <).

Front

What does the symbol >= mean?

Back

The symbol >= means 'greater than or equal to'. It indicates that a number can be either greater than or equal to a specified value.

Front

What does the symbol <= mean?

Back

The symbol <= means 'less than or equal to'. It indicates that a number can be either less than or equal to a specified value.

Front

How many solutions can an inequality have?

Back

An inequality can have an infinite number of solutions.

Front

What is the solution to the equation 4y = 32?

Back

The solution is y = 8.

Front

How do you solve the equation 37 = 12 + x?

Back

To solve for x, subtract 12 from both sides: x = 37 - 12, which gives x = 25.

Front

What does 'at least' indicate in an inequality?

Back

'At least' indicates that the value is greater than or equal to a certain number, represented by the symbol >=.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What is a closed circle on a number line?

Back

A closed circle on a number line indicates that the number it is placed over is included in the solution set of an inequality.