Page 114 - Mathematics
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Solution Form an inequality to represent
Given T = 30 25(x+ − 3). It implies this information and solve it.
that T ≥ 155 C° is the inequality 6. When 5 is added to an integer n,
required to obtain the depth. That is, the result is greater than 7. Find the
30 25(x+ − 3) 155≥ smallest possible value of n .
7. If two-quarters of a certain number
Solve the inequality to obtain the
values of x. Thus, is subtracted from 1, the result is
always greater than 0. Formulate
25(x − 3) 155 30≥ − the inequality representing this
Tanzania Institute of Education
25(x − 3) 125≥ statement.
x − 35≥ 8. The width of a rectangle is 10 cm
x ≥ 8 and its length is (2x + 4) cm. If its
2
Therefore, the minimum depth is 8 area is less than 200 cm , find the
metres. maximum length of the rectangle
if x is an integer.
Exercise 5.9 9. The difference between 5 and thrice
of a number is less than 8. Find
1. A rectangle has a length of 9 the smallest and largest integers
centimetres and an area of not less satisfying this inequality.
than 45 square centimetres. Find 10. The difference between twice a
the possible values of its width. number and 7 is less or equal to the
2. Mgeni sold 200 coconuts at x sum of 9 and 6 times the number.
Tanzanian shillings each. If he Formulate the inequality which
got more than 30,000 Tanzanian describes the relationship.
shillings, find the value of x.
3. Three times a certain number is Chapter summary
less than 2. Find the number. 1. Algebra uses letters or symbols
Mathematics Form One 5. A number is such that, 2 more than 2. An algebraic expression is
4. If 9 is added to twice a certain
to represent numbers in
whole number, the result is greater
mathematical statements called
than 63. Find the number.
algebraic expressions and
equations.
thrice the number is not more than
4 less than 5 times the number.
108 formed by one or more terms.
25/10/2024 09:51:39
Mathematics form 1.indd 108 25/10/2024 09:51:39
Mathematics form 1.indd 108
