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

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side of the equation and all other terms are on the other side.

Front

What is the zero exponent rule?

Back

The zero exponent rule states that any non-zero number raised to the power of zero equals one.

Front

How do you solve for a variable in a literal equation?

Back

To solve for a variable in a literal equation, you use algebraic operations such as addition, subtraction, multiplication, and division to isolate the variable.

Front

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

Back

The first step is to move all terms involving x to one side of the equation and constant terms to the other side.

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 purpose of checking your solution after solving an equation?

Back

The purpose of checking your solution is to verify that the solution satisfies the original equation.

Front

How can you represent a real-world situation with a literal equation?

Back

You can represent a real-world situation with a literal equation by identifying the variables and constants involved and forming an equation that relates them.

Front

What does the equation 200 - 45v = 20 represent in Tamara's situation?

Back

The equation represents the total amount spent on video games (200 - 45v) equaling the remaining balance on the gift card (20).

Front

What is the significance of the coefficient in a linear equation?

Back

The coefficient in a linear equation represents the rate of change or the slope of the line when graphed.