Absolute Value and Literal Equations Review

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

How do you solve an absolute value equation of the form |A| = B?

Back

To solve |A| = B, set up two equations: A = B and A = -B, then solve for A.

Front

What is a literal equation?

Back

A literal equation is an equation that involves 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, use inverse operations to move other terms to the opposite side of the equation.

Front

What is the solution to the equation S = 3F - 24 for F?

Back

F = (S + 24)/3.

Front

What is the solution to the equation x = by - v for x?

Back

x = by + v.

Front

What does it mean if an absolute value equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation, often because the absolute value cannot equal a negative number.

Front

What are the possible solutions for the equation -2|-2r - 4| = -12?

Back

The solutions are {-5, 1}.

Front

What are the solutions for the absolute value equation |x| = 7?

Back

The solutions are {-7, 7}.

Front

How do you solve for x in the equation x = (y - 12)/(-5 - 4k)?

Back

This equation is already solved for x.