DMR Flashcard: 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 formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve for 'y' in the equation 3y - x = -8?

Back

To solve for 'y', add x to both sides and then divide by 3: y = (x - 8)/3.

Front

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

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

What is the formula for the circumference of a circle in terms of radius 'r'?

Back

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

Front

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

Back

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

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is equal to the tangent of the angle that the line makes with the positive x-axis.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by 'b' in the equation y = mx + b.

Front

How can you convert a literal equation into a function?

Back

To convert a literal equation into a function, solve for one variable in terms of the others, typically expressing it as y = f(x).