Rewriting 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 can use inverse operations to move other terms to the opposite side of the equation.

Front

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

Back

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

Front

How do you convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y by isolating it on one side of the equation.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is zero, indicating where the line crosses the y-axis.

Front

How can you write a linear equation based on a real-world scenario?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

Front

What is the first step in solving a word problem involving a linear equation?

Back

The first step is to define the variables and understand what the problem is asking.

Front

How do you check your solution after solving a linear equation?

Back

Substitute the solution back into the original equation to verify that both sides are equal.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved simultaneously.