In arithmetic, we have studied that the division sign

Thus, 20 divided by x is written as 20/x and x is divided by 3 is written as x/3. It should be noted that 1/3 of x or x is divided by 3 is also written as x/3

1. Write each one of the following phrases by using numbers, literals and signs of basic operations:

(i) Quotient of x by 3 is multiplied by y

We have, quotient of x by 3 = (x/3).(y)

= xy/3

(ii) 3 times x added to 7 by y

We have, 3 times x = 3x, and 7 by y = 7/y.

∴ 3 times x added to 7 by (divided) y = 3x + 7/y.

(iii) Quotient of x by 4 is added to z

We have, Quotient of x by 4 = x/4 + z

(i) Quotient of z by 6 is multiplied by y.

We have, Quotient of z by 6 = z/6

:. Quotient of z by 6 is multiplied by y means , z/6 x y = zy/6

(ii) Quotient of x by y added to the product of x and y

We have, Quotient of x by y = x/y, and product of x and y = xy

∴ Quotient of x by y added to the product of x and y = x/y + xy

(iii) 4 taken away from the quotient of x by 2y.

We have, Quotient of x by 2y = x/2y

∴ 4 taken away from the quotient of x by 2y = x/2y – 4

• Addition of Literals

• Subtraction of Literals

• Multiplication of Literals

• Division of Literals

• Constants and Variables

• Coefficient

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

7th grade math

8th grade math

9th grade math

10th grade math

11th grade math

12th grade math

Precalculus

Worksheets

Chapter wise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers