Literal Equations Flashcard 2

Front

Solve for y: -5y + x = 10

Back

y = \frac{x}{5} - 2

Front

Solve for t in terms of a and d: d = \frac{1}{2}at^2

Back

t = \sqrt{\frac{2d}{a}}

Front

What is a literal equation?

Back

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

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to isolate that variable on one side of the equation.

Front

What is the formula for distance in free fall?

Back

d = \frac{1}{2}at^2, where a is acceleration due to gravity and t is time.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable alone.

Front

What is the first step to solve -5y + x = 10 for y?

Back

Add 5y to both sides to get x = 5y + 10.

Front

What is the next step after isolating the variable in -5y + x = 10?

Back

Subtract 10 from both sides to get x - 10 = 5y.

Front

What is the final step to solve for y in -5y + x = 10?

Back

Divide both sides by 5 to get y = \frac{x - 10}{5}.

Front

What is the significance of the variable 'a' in the equation d = \frac{1}{2}at^2?

Back

The variable 'a' represents the acceleration due to gravity, which affects the distance fallen.