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100

7 men can complete a work in 52 days. In how many days will 13 men finish the same work ?

28 days

100

y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when  x = 8.

y = 9

100

The sum of two numbers is 18 and their difference is 2. Find the numbers.

8 and 10

100

Simplify 10x + 20y + 30x + 5y

40x + 25y

100

Expand and simplify (x + 1)(x − 3) 

x2 − 2x − 3

200
Factorise x2+10x+16


(x+8)(x+2)

200

Factorise 10a - 20

10(a-2)

200

Expand and simplify (3x + y)2

9x+ 6xy + y2

200

Factorise 2x2+7x

x(2x+7)

200

Factorise p2 - 2p - 15

(p - 5)(p + 3)

300

Expand and simplify (5x + 6)(8x − 4) 

40x2 + 28x − 24

300

Expand and simplify (8b − 1)(5b − 5) 

40b2 − 45b + 5

300

Factorise 7m2 + 6m − 1 

(7m-1)(m+1)

300

Factorise 3k2 − 10k + 7 

(3k − 7)(k − 1)

300

Factorise 10m2 + 23m + 6 

(m + 2)(10m + 3)

400

Simplify 16p2 / 28 p 

4p / 7

400

Simplify x2 + 8x + 12 / x2 + 3x − 18 

x + 2 / x − 3

400

Simplify x2 − 11x + 18 / x2 + 2x − 8 

x − 9 / x + 4

400

Solve using elimination 

−4x + 9y = 9  

x − 3y = −6 

(9,5)

400

Solve using substitution

y = 5x − 7 

−3x − 2y = −12

(2,3)

500

The sum of two numbers is 18, and the product of these two numbers is 56. What are the numbers?

4 and 14

500

The difference of the squares of two consecutive even integers is 68. What are these numbers?

16 and 18

500

The perimeter of a rectangular pool is 56 meters. If the length of the pool is 16 meters, then find its width.

12 meters

500

Solve n2 + 3n − 12 = 6

(3, -6)

500

Solve 15a2 − 3a = 3 − 7a 

(1/3, -3/5)