Literal Equations

Front

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables. It is often used to express one variable in terms of others.

Front

How do you solve for a variable in a literal equation?

Back

To solve for a variable, isolate it on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Front

What does it mean to 'solve for y' in an equation?

Back

To 'solve for y' means to manipulate the equation so that y is expressed as a function of other variables.

Front

Given the equation -6x + 3y = 21, how do you isolate y?

Back

Add 6x to both sides to get 3y = 6x + 21, then divide by 3 to find y = 2x + 7.

Front

What is the first step in solving the equation b = y - mx for y?

Back

Add mx to both sides to isolate y, resulting in y = b + mx.

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

If y = mx + b, what does m represent?

Back

In the equation y = mx + b, m represents the slope of the line, indicating how steep the line is.

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

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

Front

How can you check if your solution for y is correct?

Back

Substitute your solution back into the original equation to see if both sides are equal.

Front

What is the significance of rearranging equations in algebra?

Back

Rearranging equations allows you to express one variable in terms of others, making it easier to solve for specific variables.