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Simultaneous Equations
100

(x + 3)(x + 2)

x² + 5x + 6

100

2x² + 3x + 4x² - x

6x² + 2x

100

x² + 5x + 6

(x + 2)(x + 3)

100

Without using calculator, evaluate: 102²

10404

100

Solve 2x + y = 12 

3x - 2y = 3

x = 3, y = 6

200

(2x - 1)(x + 4)

2x² + 7x - 4

200

(5x³ - 2x² + x) - (2x³ + x² - 3x)

3x³ - 3x² + 4x

200

6x² + 13x + 6

(2x + 3)(3x + 2)

200

Without using calculator, evaluate: (98)(102)

9996

200

3x + 2y = 26 

5x - 2y = 22

x = 7, y = 2.5

300

(2x + 3)(x - 1) + (x + 2)

2x2+2x-1

300

(x² + 2x + 1) ÷ (x + 1)

(x² + 2x + 1) ÷ (x + 1)

300

2x² - 8x + 8

2(x - 2)²

300

Given that p - q = 3 and pq = 10, find the value of p² - q²

30

300

y = 5.7 - 3.5x 

4y + 2.5x = 11.3

x = 1.2, y = 1.5

400

(3x + 2)² - (2x - 1)(x + 3)

7x² + 7x + 7

400

x³ + x²y + 2x + 2y

(x + y)(x² + 2)

400

Given that (x+y)(x-y) = kt and x+y = t, find x-y in terms of k or t

k

400

The sum of two numbers is 15. When the larger number is divided by the smaller number, the quotient is 2 with remainder 3. Find the two numbers.

smaller = 4 

larger number = 11

500

(2x - 1)²  - (x + 1)²

3x2- 6x

500

4x³ + 4x²y - 16x - 16y

4(x + y)(x + 2)(x - 2)

500

Given that (x+y)(x-y) = kt and x+y = t, find xy in terms of k or t

(t² - kt)/2

500

In a farm, there are some chickens and some rabbits. The total number of heads is 26 and the total number of legs is 64. Find the number of chickens and rabbits.

There are 20 chickens and 6 rabbits

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