Literal Equations

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often used to express one variable in terms of others.

Front

How do you isolate a variable in a literal equation?

Back

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

Front

What is the first step in solving the equation 5x + 9 = 2x - 3?

Back

The first step is to subtract 2x from both sides to get all terms involving x on one side.

Front

What does it mean to perform operations on both sides of an equation?

Back

Performing operations on both sides of an equation means applying the same mathematical operation to each side to maintain equality.

Front

What is the solution to the equation 200 - 45v = 20?

Back

The solution is v = 4.

Front

What operation is performed to both sides of the equation to maintain balance?

Back

Any operation (addition, subtraction, multiplication, or division) can be performed on both sides as long as it is the same for both.

Front

What is the value of any number raised to the power of 0?

Back

The value of any non-zero number raised to the power of 0 is 1.

Front

What is the purpose of rearranging a literal equation?

Back

Rearranging a literal equation allows you to express one variable in terms of others, making it easier to solve for specific variables.

Front

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

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

Front

What is the result of subtracting a negative number from both sides of an equation?

Back

Subtracting a negative number is equivalent to adding a positive number.