The following table will help us to learn some of the words (phrases) that can be used to indicate mathematical operations : Algebraic expression word problems examples with answers
Addition
Multiplication
|
Subtraction
Division
|
In each case, write algebraic expression for the given verbal phrase.
Example 1 :
Sum of x and twice y.
Answer :
x + 2y
Example 2 :
Subtraction of z from y.
Answer :
y - z
Example 3 :
Twice the sum of m and n.
Answer :
2(m + n)
Example 4 :
b decreased by twice a.
Answer :
b - 2a
Example 5 :
Sum of the squares of x and y.
Answer :
x2 + y2
Example 6 :
Two times the product of a and b divided by 5.
Answer :
2ab/5
Example 7 :
Product of p and q added to 7.
Answer :
pq + 7
Example 8 :
x more than two-third of y.
Answer :
x + (2/3)y
Example 9 :
Half of a number x decreased by 3.
Answer :
(x/2) - 3
Example 10 :
Sum of numbers m and n decreased by their product.
Answer :
(m + n) - mn
Example 11 :
4 times x less than sum of y and 6.
Answer :
(y + 6) - 4x
Example 12 :
Double the sum of one third of a and m.
Answer :
2[(1/3)a + m]
Example 13 :
18 is taken away from 8 times of a number.
Answer :
Let x be the number.
8x -18
Example 14 :
The denominator of a fraction exceeds the numerator by 5.
Answer :
Let x be the numerator.
x/(x + 5)
Example 15 :
If thrice of A's age 6 years ago be subtracted from twice his present age.
Answer :
Let x be the present age of A.
Then, A's age 6 years ago = x - 6.
2x - 3(x - 6)
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