Algebra

In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?

5a² - 4a - 3 - 3(a² + a + 4) = 0. What is the sum of the possible value of a ?

If x = - 1, which of the following is the largest?

A sports club has 50 members. Of these, 35 play golf, 30 play soccer and 18 play both golf and soccer. How many members play neither golf nor soccer?

If x = (y + 3)² then which of the following will be equal to (- 2y - 6)²?

If x + y = 3 and x = 2/y. What is the value of x³ +y³?

How many terms of arithmetic progression (A. P.) 21, 18, 15, 12, … must be taken to give the sum zero?

If 4b² + 1/b² = 2, then the value of 8b³ + 1/b³ is?

The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is-

The cost of operating a frisbee company in the first year is $10000 plus $2 for each Frisbee. Assuming the company sells every Frisbee it makes in the first year for $7, how many Frisbees must the company sell to break even?

If 12a + 3b = 1 and 7b – 2a = 9, what is the average of a and b ?

The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first fifteen terms of that arithmetic progression?

If 62 = 34 + 4x. What is x?

The average of two numbers is 62. if 2 is added to the smaller number, the ratio between the numbers becomes 1 : 2. The smaller number is -

a/(b + c) = b/(c + a) =c/(a + b) = k, then the value of k is- 

If x > 0 and √(y/x) = x, then what is the value of y in terms of x?

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Tk. 4,000. The total price of 12 chairs and 3 tables is:

, then find the value of 'a' if (x + y + z) ≠ 0

Solve for x, √(2x - 3) = 5 

If one factor of 2a⁴ - 5a³ + 6a² - 5a + 2 is (a - 1), what the other factor?