equations and inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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, or not equal to the other.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of subtraction?

Back

The inverse operation of subtraction is addition.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

What is the inverse operation of division?

Back

The inverse operation of division is multiplication.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations on both sides of the equation until the variable is alone on one side.

Front

What does a closed dot on a number line represent?

Back

A closed dot represents that the number is included in the solution set (e.g., x ≥ -2).

Front

What does an open dot on a number line represent?

Back

An open dot represents that the number is not included in the solution set (e.g., x > -2).