Writing Equations from Context Math Example 3

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

Example 3

easy
Write an equation: 'Half of a number plus 6 equals 10.'

Solution

  1. 1
    Let xx be the number: x2+6=10\frac{x}{2} + 6 = 10.
  2. 2
    Solve: x2=4\frac{x}{2} = 4, so x=8x = 8.

Answer

x2+6=10;x=8\frac{x}{2} + 6 = 10; \quad x = 8
'Half of' means ÷2\div 2 or ×12\times \frac{1}{2}. 'Plus' means addition. 'Equals' means ==.

About Writing Equations from Context

Translating real-world situations and word problems into algebraic equations by identifying the unknown, choosing a variable, and expressing relationships mathematically.

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More Writing Equations from Context Examples

Example 1 easy

Write an equation: 'Three times a number decreased by 4 is 17.'

Example 2 medium

A plumber charges [formula]30 per hour. If the bill was $170, how many hours did the job take?

Example 4 hard

The perimeter of a rectangle is 34 cm. The length is 5 cm more than the width. Find the dimensions.

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