Algebra as Language Math Example 1

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

Example 1

easy
Translate into algebra: 'Five more than twice a number is seventeen.'

Solution

  1. 1
    Step 1: 'a number' → xx.
  2. 2
    Step 2: 'twice a number' → 2x2x.
  3. 3
    Step 3: 'Five more than' → 2x+52x + 5.
  4. 4
    Step 4: 'is seventeen' → =17= 17. Equation: 2x+5=172x + 5 = 17.

Answer

2x+5=172x + 5 = 17
Algebra serves as a precise language for expressing relationships. Translating word problems into equations is the first step in solving them — the equation captures the structure of the problem.

About Algebra as Language

The perspective that algebra is a formal language with syntax and grammar for expressing mathematical ideas and relationships precisely.

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More Algebra as Language Examples

Example 2 medium

Express in algebra: 'The product of two consecutive integers is 12 more than twice their sum.'

Example 3 easy

Write an equation: 'A number decreased by 7 equals 15.'

Example 4 medium

Express: 'The square of the sum of [formula] and [formula]' vs 'The sum of the squares of [formula]

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