TRANSLATING VERBAL EXPRESSIONS TO ALGEBRAIC EXPRESSIONS

Problem 1 :

Write each verbal phrase as an algebraic expression.

1) the sum of 8 and t

2) the quotient of g and 15

3) the product of 5 and b

4) the difference of 32 and x

Solution :

1) Sum = +

Required expression : 8 + t

2) Quotient = /

Required expression : g/15

3) Product = x

Required expression : 5 x b

4) Difference = -

Required expression : 32 - x

Problems 2 :

Translate the verbal phrase to algebraic equations.

Problem 3 :

Arthur is 8 years younger than Janet

Solution :

Let A be Arthur's age. Janet's age be J.

Arthur's age is 8 less than Janet's age. Because Janet is elder.

A = J - 8

Problem 4 :

Kelly’s test score is 6 points higher than Mike’s

Solution :

Let K be Kell's test score. M be Mike's test score.

K = M + 6

Problem 5 :

5 more than a number is 6.

Solution :

Let x be the unknown.

More than = +

5 + x = 6

Problem 6 :

The product of 7 and b is equal to 63.

Solution :

Product of = x 

7 x b = 63

Problem 7 :

The sum of r and 45 is 79.

Solution :

Sum of = +

r + 45 = 79

Problem 8 :

The quotient of x and 7 is equal to 13.

Solution :

Quotient = /

x/7 = 13