18. Literal Equations

Front

What is a literal equation?

Back

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

Front

What is the first step in solving the equation A = l * w for l?

Back

Divide each side by w.

Front

How do you isolate a variable in an equation?

Back

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

Front

What does it mean to rearrange an equation?

Back

Rearranging an equation means to change the equation's form to solve for a different variable.

Front

If you have the equation C = 2πr, how do you solve for r?

Back

Divide both sides by 2π.

Front

What is the purpose of using literal equations in real life?

Back

Literal equations are used to express relationships between variables, allowing for calculations and predictions in various fields such as physics, engineering, and finance.

Front

What is the first step to solve the equation 3x + 5 = 20 for x?

Back

Subtract 5 from both sides.

Front

In the equation y = mx + b, what do m and b represent?

Back

m represents the slope of the line, and b represents the y-intercept.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

How do you solve for x in the equation 5x - 3 = 12?

Back

Add 3 to both sides, then divide by 5.