Solving Literal Equations

Front

What is a literal equation?

Back

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

Front

How do you isolate a variable in a literal 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 formula for distance in terms of rate and time?

Back

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

Front

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

Back

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

Front

What does the variable T represent in the equation B = T - Lc?

Back

In the equation B = T - Lc, T represents a variable that is being solved for.

Front

How do you solve for T in the equation B = T - Lc?

Back

To solve for T, add Lc to both sides: T = B + Lc.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve for b in the equation y = mx + b?

Back

To solve for b, rearrange the equation: b = y - mx.

Front

What does the variable P represent in the equation P = a + (n - 1)b?

Back

In the equation P = a + (n - 1)b, P represents the total or a specific value that depends on a, n, and b.

Front

How do you solve for b in the equation P = a + (n - 1)b?

Back

To solve for b, rearrange the equation: b = (P - a) / (n - 1).