REPRESENT VERBAL SITUATIONS 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

Problem 1 :

The perimeter of a square patio is 48 feet. What are the dimensions of the patio?

Solution

Problem 2 :

The length of a rectangle is six feet greater than the width the perimeter is 168 feet. What are the dimensions of the rectangle?

Solution

Problem 3 :

The length of a rectangle is 1 yard more than twice the width. The perimeter is 218 yards. What is the length and the width?

Solution

Problem 4 :

The width of a rectangle is 3 meters more than half of the length. The perimeter is 516 meters. What is the length and the width?

Solution

Problem 5 :

The perimeter of a triangle is 35 cm. The length of the third side is twice the length of the first side. The length of the second side is half the length of the first side. Find the lengths of the three sides.

Solution

Problem 6 :

The shortest side of a triangle is 8 mm less than the length of the middle side. The longest side of the triangle is 10 mm more than the length of the middle side. If the perimeter of the triangle is 29 mm, find the length of each side.

Solution

Problem 7 :

The perimeter of a trapezoid is 33 meters. The length of the left and right sides are the same. See the figure below. If the length of the top is 6 meters more than a side and the length of the bottom is 11 meters more than the length of a side. Find the length of each side, the top and the bottom.

Solution

Problem 8 :

The perimeter of a trapezoid is 14 inches. The length of the left and right sides are the same. If the length of the bottom is twice the length of a side and the length of the top is 1 inch less than the length of a side. Find the length of each side, the top and the bottom.

Solution