WRITE ALGEBRAIC EXPRESSION FOR VERBAL EXPRESSION

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

  • The sum of
  • Increased by
  • Plus
  • Added to
  • More than

Multiplication

  • The product of
  • Multiplied by
  • Times

Subtraction

  • The difference of
  • Decreased by
  • Minus
  • Subtracted from
  • Less than

Division

  • The quotient of
  • Divided by
  • The ratio of

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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