Literal Equations

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables and is solved for one variable in terms of the others.

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you can use inverse operations to move other terms to the opposite side of the equation.

Front

What is the first step in solving the equation 200 - 45v = 20?

Back

The first step is to subtract 200 from both sides to isolate the term with the variable.

Front

What does the equation 200 - 45v = 20 represent in a real-world context?

Back

It represents the relationship between the total amount on a gift card, the cost of items purchased, and the remaining balance.

Front

What operation is performed to both sides of an equation to maintain equality?

Back

You can perform the same operation (addition, subtraction, multiplication, or division) to both sides of an equation to maintain equality.

Front

What is the solution to the equation 5x + 9 = 2x - 3?

Back

The solution is x = -4.

Front

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

Back

It means applying the same mathematical operation to both sides to keep the equation balanced.

Front

What is the significance of the number 1 raised to any power?

Back

1 raised to any power is always equal to 1.

Front

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

Back

You can substitute the solution back into the original equation to see if both sides are equal.

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 values.