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.
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.
Examples
Five is two more than three.
5 = 2 + 3
Ten less six is four.
10 – 6 = 4
One half of twelve is six.
½ × 12 = 6
Eggs cost $1.15 per dozen
1.15 / 12 (this
gives the price per egg)
The difference of sixteen and
five is eleven.
16 – 5 = 11
Fourteen decreased by six is
eight.
14 – 6 = 8
Seven increased by six is
thirteen.
7 + 6 = 13
Eight is less than eleven.
8 < 11
Eight is at most eleven.
8 ≤ 11
Eleven is more than eight.
11 > 8
Eleven is at least eight.
11 ≥ 8
One hundred is twice fifty.
100 = 2 × 50
Five more than eight is thirteen.
5 + 8 = 13
Practice
Translate the English sentence
into a mathematical sentence.
1. Fifteen
less four is eleven.
2. Seven
decreased by two is five.
3. Six
increased by one is seven.
4. The
sum of two and three is five.
5. Nine
more than four is thirteen.
6. One-third
of twelve is four.
7. One-third
of twelve is greater than two.
8. Half
of sixteen is eight.
9. The
car gets 350 miles per eleven gallons.
10. Ten is
less than twelve.
11. Ten is no
more than twelve.
12. Three-fourths
of sixteen is twelve.
13. Twice
fifteen is thirty.
14. The
difference of fourteen and five is nine.
15. Nine is
more than six.
16. Nine is at
least six.
Solutions
1. 15
– 4 = 11
2. 7
– 2 = 5
3. 6
+ 1 = 7
4. 2
+ 3 = 5
5. 9
+ 4 = 13
6. ⅓
× 12 = 4
7. ⅓
× 12 > 2
8. ½
× 16 = 8
9. 350
÷ 11 (miles per gallon)
10. 10 < 12
11. 10 ≤ 12
12. ¾ × 16 = 12
13. 2 × 15 = 30
14. 14 – 5 = 9
15. 9 > 6
16. 9 ≥ 6
“Sumber Informasi”
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