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 relationships between quantities.

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, you perform 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 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 5x + 9 = 2x - 3?

Back

The solution is x = -4.

Front

What operation is performed to both sides of the equation to solve for x in 5x + 9 = 2x - 3?

Back

Subtract 2x from both sides.

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 helps to express one variable in terms of others, making it easier to solve for specific variables.

Front

What does the term 'inverse operations' refer to?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.

Front

How can 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.