Solving Equations

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 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 or expression.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2

Front

What is the first step in solving the equation 3x - 5 = 10?

Back

Add 5 to both sides to isolate the term with the variable.

Front

What does it mean if an equation has 'no solution'?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What is the identity in the context of equations?

Back

An identity is an equation that is true for all values of the variable, such as 2(x + 1) = 2x + 2.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the solution to the equation 4y - 8 = 0?

Back

y = 2

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the value found satisfies the original equation.