MCA Unit 0

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100

 Half of a number equals sixteen.

x/2 = 16

200

The sum of five and twice a number is 17

5 + 2x = 17

300

If 3 times a number is decreased by 12, the result is 5.

3x - 12 = 5

400

The sum of 6 times a number and fifteen is forty-two.

6x + 15 = 42

500

five less than three times a number is 35.

3x - 5 = 35 

Simplify

100

7 - 2* 5 + 4 * 3 - 5 

4

200

-2 (5 + 3) + 7(3 - 2*5) 

- 65

300

- 16/((-2)(-4)

-2

400

- 3( x - y) + 4 (3x - 2y) 

9x - 5y

500

- 2 [3 ( 4/2 + 3)^3 + 4] + 350 

- 408

Exponents/ Scientific Notation

100

(3x^3)^2/(2(x^2y)^4 

9/(2x^2y^4) 

200

Express 

7.2 x 10^9  as   a   real   number

7,200,000,000

300

(-4z^2)^3 

(-4)^3 z^6 or -64z^6

400

Express 0.00000215 in scientific notation

2.15 x 10^-6

500

(3x^3 7^2)^2/(4xy)^3 

(3^2 * 7^4 x^3) /(4^3 y^3) or (12609x^3) /(64y^3) 

Polynomials

100

(14z^2 + 2)   +  (3z - 4) 

14z^2 + 3z - 2 

200

(27y^2 - 6y + 2) - (y^2 + 3y - 7) 

26y^2 - 9y + 9 

300

5xy^2 (3x - 4y) 

15x^2y^2 - 20xy^3 

400

( x - 7) (x + 9) 

x² + 2x - 63

500

( 2x - 3)²

4x² - 12x + 9 

Bonus

100

(5x^4 y^4 z^4)^0 

1

200

(a + b)^5 / (a - 2b^2) if a = 6 and b = - 8 

16/61

300

(4x^2y)(2xy^3)^2 

16x^4 y^7

400

(x^-3 y^2)/(y^-4 x^5)

y^6 / x^8 

500

(x^3 y^-2)^2 /(x^4 y^3 )^-3 

x^18 y^5