Examples
The
difference between two numbers is 13. Twice the smaller plus three times the
larger is 129.
If the difference between two numbers is 13,
then one of the numbers is 13 more than the other. The statement ‘‘The
difference between two numbers is 13,’’ could have been given as, ‘‘One number
is 13 more than the other.’’ As before, let x represent the first number. Then,
x + 13 represents the other. ‘‘Twice the smaller’’ means ‘‘2x’’ (x is the
smaller quantity because the other quantity is 13 more than x). Three times the
larger number is 3(x + 13). ‘‘Twice the smaller plus three times the larger is
129’’ becomes 2x + 3(x + 13) = 129.
Alfi Blog
Maret 12, 2026
Admin
Bandung Indonesia
Examples
The
difference between two numbers is 13. Twice the smaller plus three times the
larger is 129.
If the difference between two numbers is 13,
then one of the numbers is 13 more than the other. The statement ‘‘The
difference between two numbers is 13,’’ could have been given as, ‘‘One number
is 13 more than the other.’’ As before, let x represent the first number. Then,
x + 13 represents the other. ‘‘Twice the smaller’’ means ‘‘2x’’ (x is the
smaller quantity because the other quantity is 13 more than x). Three times the
larger number is 3(x + 13). ‘‘Twice the smaller plus three times the larger is
129’’ becomes 2x + 3(x + 13) = 129.
Examples
The sum of
two numbers is 70. One number is eight more than the other. What are the two
numbers?
Problems such as this are similar to the
above in that we are looking for two or more numbers and we have a little
information about how far apart the numbers are. In the problems above, the
numbers differed by one. Here, two numbers differ by eight.
Alfi Blog
Maret 11, 2026
Admin
Bandung Indonesia
Examples
The sum of
two numbers is 70. One number is eight more than the other. What are the two
numbers?
Problems such as this are similar to the
above in that we are looking for two or more numbers and we have a little
information about how far apart the numbers are. In the problems above, the
numbers differed by one. Here, two numbers differ by eight.
Many
problems require the student to use common sense to solve them—that is,
mathematical reasoning. For instance, when a problem refers to consecutive integers,
the student is expected to realize that any two consecutive integers differ by
one. If two numbers are consecutive, normally x is set equal to the first and x
+ 1, the second.
Alfi Blog
Maret 10, 2026
Admin
Bandung Indonesia
Many
problems require the student to use common sense to solve them—that is,
mathematical reasoning. For instance, when a problem refers to consecutive integers,
the student is expected to realize that any two consecutive integers differ by
one. If two numbers are consecutive, normally x is set equal to the first and x
+ 1, the second.
A box has a
square bottom. The height has not yet been determined, but the bottom is 10
inches by 10 inches. The volume formula is V = lwh, because each of the length
and width is 10, lw becomes 10 – 10 = 100.
Alfi Blog
Maret 09, 2026
Admin
Bandung Indonesia
A box has a
square bottom. The height has not yet been determined, but the bottom is 10
inches by 10 inches. The volume formula is V = lwh, because each of the length
and width is 10, lw becomes 10 – 10 = 100.
For some word problems, nothing more will be
required of you than to substitute a given value into a formula, which is
either given to you or is readily available. The most difficult part of these
problems will be to decide which variable the given quantity will be. For
example, the formula might look like R = 8q and the value given to you is 440.
Is R = 440 or is q = 440? The answer lies in the way the variables are
described In R ¼ 8q, it might be that R represents revenue (in dollars) and q represents
quantity (in units) sold of some item. ‘‘If 440 units were sold, what is the
revenue?’’ Here 440 is q. You would then solve R = 8(440). ‘‘If the revenue is
$440, how many units were sold?’’ Here 440 is R, and you would solve 440 = 8q.
Alfi Blog
Maret 08, 2026
Admin
Bandung Indonesia
For some word problems, nothing more will be
required of you than to substitute a given value into a formula, which is
either given to you or is readily available. The most difficult part of these
problems will be to decide which variable the given quantity will be. For
example, the formula might look like R = 8q and the value given to you is 440.
Is R = 440 or is q = 440? The answer lies in the way the variables are
described In R ¼ 8q, it might be that R represents revenue (in dollars) and q represents
quantity (in units) sold of some item. ‘‘If 440 units were sold, what is the
revenue?’’ Here 440 is q. You would then solve R = 8(440). ‘‘If the revenue is
$440, how many units were sold?’’ Here 440 is R, and you would solve 440 = 8q.
