REPRESENT VERBAL SITUATAIONS ALGEBRAICALLY WORKSHEET

Problem 1 :

The subtraction of 5 times of y from x is

(a) 5x – y      (b) y – 5x    (c) x – 5y     (d) 5y – x

Solution

Problem 2 :

The side length of the top of square table is x. The expression for perimeter is:

(a) 4 + x     (b) 2x      (c) 4x       (d) 8x.

Solution

Problem 3 :

The number of scarfs of length half meter that can be made from y meters of cloth is :

(a) 2y     (b) y/2       (c) y + 2    (d) y + 1/2

Solution

Problem 4 :

The length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square?

(a) 2x + 16 (b) 6x + 9 (c) 8x + 3 (d) 8x + 12

Solution

Problem 5 :

Arjun bought a rectangular plot with length x and breadth y and then sold a triangular part of it whose base is y and height is z. Find the area of the remaining part of the plot

Solution

Problem 6 :

Amisha has a square plot of side m and another triangular plot with base and height each equal to m. What is the total area of both plots?

Solution

Write the following statements in the form of algebraic expressions and write whether it is monomial, binomial or trinomial.

Problem 7 :

x is multiplied by itself and then added to the product of x and y.

Solution

Problem 8 :

Three times of p and two times of q are multiplied and then subtracted from r.              Solution

Problem 9 :

Product of p, twice of q and thrice of r .

Solution

Problem 10 :

Sum of the products of a and b, b and c and c and a. 

Solution

Problem 11 :

Perimeter of an equilateral triangle of side x.

Solution

Problem 12 :

Perimeter of a rectangle with length p and breadth q.

Solution

Problem 13 :

Area of a triangle with base m and height n.

Solution

Problem 14 :

Area of a square with side x

Solution

Problem 15 :

Cube of s subtracted from cube of t.

Solution

Problem 16 :

Quotient of x and 15 multiplied by x.

Solution

Problem 17 :

The sum of square of x and cube of z.

Solution

Problem 18 :

Two times q subtracted from cube of q

Solution

Answer Key

1)  x - 5y 

2)   4x

3)  2y

4)  8x + 12

5) xy - (yz/2) 

6)  m2/2

7)  x2 + xy, binomial.

8)   r - 6pq, binomial.

9)  6pqr, monomial.

10)  ab + bc + ca, trinomial

11)  3x, monomial.

12)   2(p + q), binomial

13)  mn/2, monomial.

14)  x2, monomial

15)  t3 - s3, binomial

16)  x2/15, monomial

17)  xz3, binomial

18)  q3 - 2q, binomial

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