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1

What is the solution of √(2x - 1) = 3?

2

Solve: |x/2| = 3

3

What is the area of a sector with radius 4 cm and angle 90°?

4

Solve: |x + 3| = 0

5

Solve: √(3x) = 6

6

Which equation has no real solution?

7

If the angle of depression from the top of a building to a car is 45° and the building is 30 m high, how far is the car from the building?

8

What is the value of x in √(x - 4) = 3?

9

A tower casts a shadow 20 m long when the sun's elevation is 30°. How tall is the tower?

10

Solve: 2|x| + 3 = 11

11

Simplify: (x² - 9)/(x² - 6x + 9) × (x - 3)/(x + 3)

12

A ship travels 8 km east and then 6 km north. What is the bearing of the ship from the starting point?

13

Solve: |3x| = 15

14

An aeroplane is flying at a height of 500 m. The angle of depression of an airport is 30°. How far is the aeroplane from the airport (along the line of sight)?

15

What is the LCM of x² - 1 and x² + 2x + 1?

16

Solve: |2x - 3| = 7

17

Factorize: 6x² - 7x - 3

18

Simplify: (x + 3)/(x² + 5x + 6)

19

Find the LCM of 3x²y and 6xy².

20

Simplify: (x + 1)/(x² - 1) + (x - 1)/(x² - 1)

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