Solving Literal Equations

Front

What is a literal equation?

Back

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

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step to solve the equation cy = 10 for y?

Back

Divide both sides of the equation by c.

Front

What is the formula for distance in terms of rate and time?

Back

The formula is d = rt, where d is distance, r is rate, and t is time.

Front

How do you solve the equation d = rt for r?

Back

To solve for r, divide both sides by t, giving r = d/t.

Front

What is the formula for the area of a triangle?

Back

The formula for the area of a triangle is A = (bh)/2, where b is the base and h is the height.

Front

How do you solve the area equation A = (bh)/2 for b?

Back

Multiply both sides by 2 and then divide by h, giving b = (2A)/h.

Front

What does it mean to solve for y in the equation xy + w = 9?

Back

It means to express y in terms of x and w.

Front

What is the first step to solve the equation y = mx + b for x?

Back

Subtract b from both sides of the equation.

Front

What is the relationship between the variables in a literal equation?

Back

The relationship is defined by the equation itself, showing how one variable depends on others.