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 a letter, that represents an unknown value in an equation.

Front

What is the first step in solving a simple equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does it mean to check your work after solving an equation?

Back

Checking your work means substituting the solution back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation x + 5 = 29?

Back

The solution is x = 24.

Front

What is the solution to the equation 3x = 72?

Back

The solution is x = 24.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations and isolate the variable.

Front

What is an example of an inverse operation?

Back

Addition and subtraction are inverse operations; multiplication and division are also inverse operations.

Front

What does it mean to simplify an equation?

Back

To simplify an equation means to reduce it to its simplest form, making it easier to solve.