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Guest practice

Mth – Quarter 2

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20
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1

What is the solution set of √(x + 5) = 2?

2

A ladder leans against a wall. The angle between the ladder and the ground is 60°. If the ladder is 10 m long, how high up the wall does it reach?

3

Solve: |x + 1| = |x - 1|

4

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

5

In a right-angled triangle, what is the ratio of the opposite side to the hypotenuse?

6

Find the HCF of 12x³y² and 18x²y³.

7

Simplify: (x² - 4)/(x - 2)

8

Solve: √(3x) = 6

9

In a right-angled triangle, if the opposite side is 6 and the adjacent side is 8, what is tan θ?

10

Find the LCM of 4a²b and 6ab³.

11

If θ = 60°, what is tan θ?

12

A triangle has sides 3, 4, and 5. What is the sine of the angle opposite the side of length 3?

13

Solve: |2x + 1| = 9

14

What is the solution of √(x+3) = 4?

15

Solve: |2x - 1| = 5

16

Factorize: x² + 8x + 16

17

A ladder 13 m long reaches a window 12 m high. What is the angle of elevation of the ladder?

18

In a triangle, if tan θ = 4/3, what is sin θ?

19

Simplify: (2x - 2)/(x² - 1)

20

Simplify: (x² - 16)/(x² - 8x + 16) ÷ (x + 4)/(x - 4)

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