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 move other terms to the opposite side of the equation.

Front

What is the first step in solving the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to get 3x = 15.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of x that makes the equation true.

Front

If 2x + 3 = 11, what is the value of x?

Back

x = 4.

Front

What operation would you perform to both sides of the equation 4x - 8 = 0 to isolate x?

Back

Add 8 to both sides, then divide by 4.

Front

In the equation y = 2x + 3, what is the slope?

Back

The slope is 2.

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

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

Front

What is the equation for finding the area of a rectangle?

Back

Area = length × width.