Mathematics » Solving Linear Equations I » Solve Equations Using the Subtraction and Addition Properties of Equality

How to Translate an Equation and Solve

How to Translate an Equation and Solve

In previous tutorials, we translated word sentences into equations. The first step is to look for the word (or words) that translate(s) to the equal sign. The table below reminds us of some of the words that translate to the equal sign.

Equals (=)
isis equal tois the same asthe result isgiveswaswill be

Let’s review the steps we used to translate a sentence into an equation.

How to Translate a word sentence to an algebraic equation.

  1. Locate the “equals” word(s). Translate to an equal sign.
  2. Translate the words to the left of the “equals” word(s) into an algebraic expression.
  3. Translate the words to the right of the “equals” word(s) into an algebraic expression.

Now we are ready to try an example.

Example

Translate and solve: five more than \(x\) is equal to \(26.\)

Solution

Translate.How to Translate an Equation and Solve
Subtract 5 from both sides.How to Translate an Equation and Solve
Simplify.How to Translate an Equation and Solve
Check:

 

Is \(26\) five more than \(21\)?

 

How to Translate an Equation and Solve

 

How to Translate an Equation and Solve

 

The solution checks.

 

Example

Translate and solve: The difference of \(5p\) and \(4p\) is \(23.\)

Solution

Translate.How to Translate an Equation and Solve
Simplify.How to Translate an Equation and Solve
Check:

 

How to Translate an Equation and Solve

 

How to Translate an Equation and Solve

 

How to Translate an Equation and Solve

 

How to Translate an Equation and Solve

 
The solution checks. 

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This is a lesson from the tutorial, Solving Linear Equations I and you are encouraged to log in or register, so that you can track your progress.

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