  # Algebra: Creating and Solving Equations for Word Problems

In this worksheet, students use algebra to solve numerical problems. Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Substitute Numerical Values for Formulae/Expressions

Difficulty level:   #### Worksheet Overview

The main purpose of algebra is to solve problems.

Using equations to solve problems can be useful when we are given a word problem.

Example

I think of a number and multiply it by 6.  After adding 20 to the result, my answer is 2.  What is the number I first thought of?

(a)    Let the number I first thought of be x.

(c)    When I multiply by 6 and add 20, this becomes 6x + 20.  This is equal to 2.

The equation is:

6x + 20 = 2

(d)    Solve to get:

6x = -18

x = -3

(e)    The number I first thought of is -3

(f)    -3 × 6 = -18

-18 + 20 = 2 so it works.

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