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.

Tags

CCSS.HSA.CED.A.4

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.

Tags

CCSS.HSA.CED.A.4

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.

Tags

CCSS.6.EE.B.7

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.

Tags

CCSS.HSA.CED.A.4

Front

What does the equation T = p + prt represent?

Back

This equation represents the total amount T, where p is the principal amount, r is the rate, and t is the time.

Front

How do you solve for r in the equation T = p + prt?

Back

Rearranging gives r = (T - p) / (pt).

Tags

CCSS.HSA.CED.A.4

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

To solve for x, rearrange the equation to x = (y - b) / m.

Tags

CCSS.HSA.REI.B.3

Front

What does the variable b represent in the equation y = mx + b?

Back

In this equation, b represents the y-intercept, the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

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

Tags

CCSS.HSA.REI.B.3