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Solution 8. When 36 is added to a certain
Let: x be the number of materials number, the result is the same
of type A.
as multiplying the number by 5.
y be the number of materials
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of type B. 9. Janeth’s mother is five times as
old as Janeth. After 8 years, her
Total units of the materials available mother will be 4 times as old as
are 20.
Janeth.
Total units of materials of type A
and B are 4x and 3y respectively. 10. When the sum of n and (n + 3)
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Therefore, the equation relating the numbers is multiplied by 5, the
two types of materials is 4x + 3y = 20. result is two times the difference
between the larger number and
Exercise 5.4 the smaller number.
Formulate a linear equation in each 11. The sum of one-third of a
of the following statements. number and two-fifth of another
1. Five times a number gives number is 1.
twenty.
12. The difference between one-half
2. The difference between 123 and of a number and one-third of
another number is 150. another number is 2.
3. The sum of 21 and another 13. Four times the value of a
number is 125.
quantity equals the sum of 2
4. When a certain number is and a quarter of the value of
increased by 15, the result is 88.
another quantity.
5. When 99 is decreased by a
certain number, the result is 63.
Solving linear equations with one
6. The product of 12 and another unknown
number is the same as two times Solving an equation with one unknown
Mathematics Form One 7. A number is such that, when variable which satisfy the equation. It
the sum of 12 and the number.
means finding the value of the unknown
it is doubled and 8 is added
involves several steps of simplification
to it, the result is the same as
to obtain the value of the variable which
multiplying the number by 3,
satisfies the given equation.
and subtracting 7.
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Mathematics form 1.indd 82
Mathematics form 1.indd 82 25/09/2025 15:01:04
