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 a literal equation?

Back

To isolate a variable, you can use algebraic operations such as addition, subtraction, multiplication, and division to rearrange the equation.

Front

What is the first step to solve the equation 4x + 3y = 9 for y?

Back

Subtract 4x from both sides to get 3y = 9 - 4x.

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 convert the equation 8x + 4y = 16 into slope-intercept form?

Back

First, isolate y: 4y = -8x + 16, then divide by 4 to get y = -2x + 4.

Front

What does the variable R represent in the ideal gas law equation pV = nRT?

Back

In the ideal gas law, R represents the ideal gas constant.

Front

How do you solve for R in the equation pV = nRT?

Back

To solve for R, divide both sides by nT: R = pV/nT.

Front

What is the formula for the circumference of a circle?

Back

The formula for the circumference of a circle is C = 2πr.

Front

How do you solve the equation C = 2πr for r?

Back

To solve for r, divide both sides by 2π: r = C/(2π).

Front

What is the relationship between x and y in the equation 3x + y = 12?

Back

The relationship can be expressed as y = -3x + 12, indicating a linear relationship with a slope of -3.