Success in solving word problems depends on the mastery of three skills— ‘‘translating’’ English into mathematics, setting the variable equal to an appropriate unknown quantity, and using knowledge of mathematics to solve the equation or inequality. This book will help you develop the first two skills and some attention will be given to the third.
English |
Mathematical
Symbol |
‘‘Is,’’ ‘‘are,’’ ‘‘will be’’ (any form of the verb ‘‘to be’’) mean ‘‘equal’’ |
= |
‘‘More than,’’ ‘‘increased by,’’ ‘‘sum of’’ mean ‘‘add’’ |
+ |
‘‘Less than,’’ ‘‘decreased by,’’ ‘‘difference of’’ mean ‘‘subtract’’ |
– |
‘‘Of’’ means ‘‘multiply’’ |
|
‘‘Per’’ means ‘‘divide’’ |
÷ |
‘‘More than’’ and ‘‘greater than’’
both mean the relation ‘‘greater than’’ although ‘‘more than’’ can mean ‘‘add’’ |
> |
‘‘Less than,’’ means the relation
‘‘less than’’ although it can also mean
‘‘subtract’’ |
< |
‘‘At least,’’ and ‘‘no less than,’’
mean the relation ‘‘greater than or equal to’’ |
|
‘‘No more than,’’ and ‘‘at most,’’
mean the relation ‘‘less than or equal to’’ |
We will ease
into the topic of word problems by translating English sentences into
mathematical sentences. We will not solve word problems until later in the book.
Practice
1. Fifteen less
four is eleven.
2. Six increased by
one is seven.
3. One-third of
twelve is four.
4. One-third of
twelve is greater than two.
5. The car gets 350 miles per eleven gallons.
6. Ten is less than twelve.
7. Ten is no more than twelve.
8. Nine is more than six.
9. Nine is at least six.
Solutions
Sumber
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