MAT10:1.1.2 Word problems leading to expansion of brackets

A mango costs (3m -2) rupees each.  Find, in terms of m, in simplified form, the cost of 12 mangoes

The width of a rectangle is 2x cm and its length is 3 cm longer than the width.  Find, in terms of x, in simplified form, the area of the rectangle.

The base of a cuboid is of length (3x + 2y) m and its width is of length 3x cm.  Find, in terms of x and y, in simplified form, the area of the base of the cuboid.

Sweets are sold in boxes containing x orange sweets and 3y lemon sweets.  Sarah buys 5 boxes of sweets.  Write down, in terms of x and y, in simplified form, the total number of sweets Sarah will get in the 5 boxes.

A man walks at a speed of (3x +5) m/s for 2y seconds.  Find, in terms of x and y, in simplified form, the distance the man travels in the 2y seconds.

The base of a triangle is (2x + 5) cm and its height is 4y cm.  Find, in terms of x and y, in simplified form, the area of the triangle. [Remember area of triangle = 1/2 x base x height]

The length of a rectangle is (x² + y) cm and its width is 3x cm.  Find, in terms of x and y, in simplified form, the area of the rectangle.

Given a number n, write down in terms of n, the product of the number n and the next number consecutive to n. Give the answer in simplified form.

Express the product of two consecutive even numbers in terms of x, if x is the first even number.  Give the answer in simplified form.

The length of a square is 2x and the length of a rectangle is (3x + 2y).  Express, in terms of x and y, in simplified form, the product of the area of the square and the length of the rectangle.

Peter thinks of a number 5x, subtract 6 from it and then multiply his answer by 2x.  Find, in terms of x, in simplified form, the end result.

A train is moving along a straight road at an average speed of (3x – 4y) m/s for 2 minutes.  Find, in terms of x and y, in simplified form, the distance the train travels during these two minutes.