Page 43 - MarceAlgebra Demystified

30 CHAPTER 1 Fractions

1 4 19 19 5 19 4 76
3: 15 ¼ 15 ¼ ¼ ¼ ¼ 1 1
1 1 5 15 4 15 5 75 75
4 4
5 1 11 11 11 1 11
4: 2 ¼ 2 ¼ 3 ¼ ¼ ¼ 1 5
3 3 2 2 3 6 6

2 1 5 5 1 5 2 10
2
5: 2 ¼ ¼ ¼ ¼ ¼ 5
1 1 2 2 2 1 2
2 2

Recognizing Quantities and Relationships in
Word Problems

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’’) ¼
mean ‘‘equal’’

‘‘More than,’’ ‘‘increased by,’’ ‘‘sum of’’ mean ‘‘add’’ þ

‘‘Less than,’’ ‘‘decreased by,’’ ‘‘difference of’’ mean
‘‘subtract’’
‘‘Of’’ means ‘‘multiply’’

‘‘Per’’ means ‘‘divide’’

‘‘More than’’ and ‘‘greater than’’ both mean the rela- >
tion ‘‘greater than’’ although ‘‘more than’’ can mean
‘‘add’’

‘‘Less than,’’ means the relation ‘‘less than’’ although <
it can also mean ‘‘subtract’’