Solving Equations with Square Roots

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because 4 x 4 = 16.

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 principle of isolating the variable in an equation?

Back

Isolating the variable involves rearranging the equation to get the variable on one side and the constants on the other side.

Front

Back

Front

How do you check if a solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

Back

Front

Back

Front

Back

Front

What does it mean if an equation has two solutions?

Back

It means that there are two different values for the variable that satisfy the equation.

Front

What is the square root of a negative number?

Back

The square root of a negative number is not a real number; it is an imaginary number.