example
Translate the sentence into an algebraic equation: The sum of
6 and
9 is
15.
Solution
The word
is tells us the equal sign goes between 9 and 15.
Locate the "equals" word(s). |
 |
Write the = sign. |
|
Translate the words to the left of the equals word into an algebraic expression. |
 |
Translate the words to the right of the equals word into an algebraic expression. |
 |
example
Translate the sentence into an algebraic equation: The product of
8 and
7 is
56.
Answer:
Solution
The location of the word is tells us that the equal sign goes between 7 and 56.
Locate the "equals" word(s). |
 |
Write the = sign. |
|
Translate the words to the left of the equals word into an algebraic expression. |
 |
Translate the words to the right of the equals word into an algebraic expression. |
 |
example
Translate the sentence into an algebraic equation: Twice the difference of
x and
3 gives
18.
Answer:
Solution
Locate the "equals" word(s). |
 |
Recognize the key words: twice; difference of …. and …. |
Twice means two times. |
Translate. |
 |
example
Translate and solve: Three more than
x is equal to
47.
Answer:
Solution
|
Three more than x is equal to 47. |
Translate. |
x+3=47 |
Subtract 3 from both sides of the equation. |
x+3−−3=47−−3 |
Simplify. |
x=44 |
We can check. Let x=44 . |
x+3=47 |
|
|
44+3=47 |
|
|
47=47 |
|
So
x=44 is the solution.
example
Translate and solve: The difference of
y and
14 is
18.
Answer:
Solution
|
The difference of y and 14is18. |
Translate. |
y−−14=18 |
Add 14 to both sides. |
y−−14+14=18+14 |
Simplify. |
y=32 |
We can check. Let y=32 . |
y−−14=18 |
|
|
32−−14=18 |
|
|
18=18 |
|
So
y=32 is the solution.