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How to solve linear equations

Lesson 11 of 20 in Union Aptitude Prep. The start plays free here.

Union Aptitude PrepSolving linear equations
Finding an unknown
  1. A variable represents the unknown
  2. Find a value for the variable
  3. Check it in the original equation
  1. 3x + 6 = 18
  2. 3x = 12
  3. x = 4
  4. Check: 3(4) + 6 = 18
  5. T = a + b
  6. a = T − b
The unknownYou need to find a quantity you do not know yet.Your targetYou see 3x + 6 = 18 in a practice problem. Your target is x by itself on one side of the equals sign.

How the lesson starts

The unknown

You need to find a quantity you do not know yet. You can choose a variable, such as a letter, to represent that unknown quantity.

Your target

You see 3x + 6 = 18 in a practice problem. Your target is x by itself on one side of the equals sign.

Then, in the full lesson

  • Remove six
  • Isolate x
  • Check the original
  • A formula
  • Same target
  • 2 questions along the way

A question from this lesson

You need to solve 2x + 5 = 11. Which value makes the equation true?

  1. x = 8
  2. x = 3
  3. x = 6
Show the answer

B. x = 3. x = 3 works because 2(3) + 5 = 11. Using 8 gives 21, not 11. Using 6 gives 17, not 11; subtracting 5 alone does not isolate x.

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