Solving Equations

Front

What is an equation?

Back

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

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 a variable in mathematics?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What is the purpose of isolating a variable?

Back

Isolating a variable helps to find its value by getting it alone on one side of the equation.

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation if necessary, combining like terms.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the balance method in solving equations?

Back

The balance method involves performing the same operation on both sides of the equation to maintain equality.

Front

What is a solution set?

Back

A solution set is the set of all values that satisfy the equation.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values that can be substituted for the variable to make the equation true.

Front

What is an identity in mathematics?

Back

An identity is an equation that is true for all values of the variable, such as 2x + 3 = 2x + 3.