Algebraic Representation Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Represent this situation algebraically: 'Sarah has 5 more apples than Tom. Together they have 23 apples.'

Solution

  1. 1
    Let tt = Tom's apples. Then Sarah has t+5t + 5 apples.
  2. 2
    Together: t+(t+5)=23t + (t + 5) = 23.
  3. 3
    Simplify: 2t+5=232t + 5 = 23, so 2t=182t = 18 and t=9t = 9.
  4. 4
    Tom has 9 apples; Sarah has 14 apples.

Answer

t+(t+5)=23t + (t+5) = 23; Tom: 9, Sarah: 14.
Algebraic representation translates words into symbols. Choose a variable for an unknown quantity, express other quantities in terms of it, and write an equation from the given relationship.

About Algebraic Representation

Using algebraic expressions and equations to represent and analyze mathematical relationships and real-world situations.

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More Algebraic Representation Examples

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Example 4 medium

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