Page 88 - Mathematics_F1

The following table shows some common words used in word problems which
involve mathematical operations.

Words Mathematical symbol

FOR ONLINE READING ONLY
Addition, sum, increased by, plus, total, more than, exceed + Tanzania Institute of Education

Difference, subtract, decreased, reduced by, minus, less than −

Multiplication, times, product, multiplied by ×

Division, divided by, quotient, ratio ÷

Equals, result is, is equal to, is, gives, the same as =

Example 5.12 Example 5.14

The sum of two numbers is 20. If The difference between two numbers
one of the numbers is 8, form a linear is 48. Form a linear equation which
equation connecting the two numbers. describes the relationship between
the two numbers.
Solution Solution
Let x be the unknown number. Since Let z be one of the numbers and p be
the known number is 8, then the the other number.
algebraic equation connecting the
x
two numbers is 8 += 20. Since the difference between the two
numbers is 48, and it is not specified
which number is larger or smaller
than the other, then the equations
Example 5.13
which relates the numbers is either
z − p = 48 or pz−= 48.
The difference between 24 and
another number is 8. Form a linear
equation connecting the numbers. Example 5.15

Solution A product from a company requires
Let y be the unknown number. 4 and 3 units of materials of type A
Since the known number is 24, then and B, respectively. If the company
the algebraic equation connecting the has a total of 20 units of materials, Mathematics Form One
two numbers is either 24 y−= . formulate the equation relating the
8
types of materials.

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25/09/2025 15:01:04
Mathematics form 1.indd 81
Mathematics form 1.indd 81 25/09/2025 15:01:04