Expressions, Equations, & Inequalities

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign (=).

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

How do you represent a situation where a person saves money over time?

Back

You can represent it with an equation or inequality, such as 15w + 45 > 205, where w is the number of weeks.

Front

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

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than' and indicates that the value on the left is smaller than the value on the right.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

What is the result of simplifying the expression 15 + 4(5y + 10)?

Back

The simplified expression is 20y + 55.

Front

What does a closed dot on a graph of an inequality indicate?

Back

A closed dot indicates that the value is included in the solution, used with symbols ≤ or ≥.

Front

What does an open dot on a graph of an inequality indicate?

Back

An open dot indicates that the value is not included in the solution, used with symbols < or >.