Solving Equations with Two Absolute Value Expressions (2.14.3)

Question 1

• Some equations have two absolute value expressions in them. Once you have tried all the possible combinations, you will find there are only two distinct equations involved.

Answer 1

• Some equations have two absolute value expressions in them. Once you have tried all the possible combinations, you will find there are only two distinct equations involved.

Question 2

• Set up your two possible equations and solve for the variable.

Answer 2

• Set up your two possible equations and solve for the variable.

Question 3

• Check your answers in the original absolute value equation.

Answer 3

• Check your answers in the original absolute value equation.

Question 4

Your problem has two absolute value expressions.

Create your two equations to handle all the combinations.

Solve for x.

Answer 4

Your problem has two absolute value expressions.

Create your two equations to handle all the combinations.

Solve for x.

Question 5

Again you have two absolute value expressions. In this
example, however, they compose a rational expression.

Set up your two equations.

Solve for your variable, in this case A, in each equation.

Answer 5

Again you have two absolute value expressions. In this
example, however, they compose a rational expression.

Set up your two equations.

Solve for your variable, in this case A, in each equation.

Question 6

Remember to check your work. This, as always, is one of
the most important steps for your accuracy.

One at a time, substitute each of your values for A, 7 and 1/5, into the original equation and see if you get a true statement with either, none or both of them.

Answer 6

Remember to check your work. This, as always, is one of
the most important steps for your accuracy.

One at a time, substitute each of your values for A, 7 and 1/5, into the original equation and see if you get a true statement with either, none or both of them.