Algebra Test - ...

Which of the following is the formula for the following statement?

Mr. Naitik`s age is six times the age of his son, and the sum of their ages is 35.

Sachin bought 5 apples and 6 oranges. The cost of an apple is Rs. 2 more than the cost of an orange. The total money he spent on apples and oranges is Rs. 43. What is the formula for this statement?

The radius of a circle is 2 more than x. What is the area of the circle?

Rajiv bought 10 chairs and a table for Rs. 2500. The cost of a table is Rs. 100 more than the price of a chair. Frame a formula to express this.

Rs. 500 is divided among two brothers. One brother gets Rs. 100 more than the other. Find the formula to express this.

Mr. Mehta bought some articles for Rs. 4800. He sold the articles at Rs. 50 each. Then, he made profit equal to the cost price of 10 articles. Frame a formula for this statement.

Ram and Sham has total 500 toffees with them. Ram has 100 toffees more than the half of toffees with Sham. Frame the formula for the statement.

If x = 2, y = 3 and z = 5, find the value of x²yz + xy² + (y - zx) + (z - yx) + (x - yz).

Change the subject of the formula f = to b.

If y = , find the value of x at a = 2, y = 1 and b = 3.

Find the value of 2abc + a² + b² + c² at a = 2, if b = -1 and c = -3.

Find the value of `l` from the formula A = rl at A = 66, r = 3 and = .

Changing the subject of m = to n, find n where l = -2 and m = 4.

Find the value of 'a' in = 6 at y = 2.

Making R as the subject of the formula A = P , find R when A = 9261 and p = 8000.