LINEAR EQUATIONS AND INEQUALITIES + TRIGONOMETRY AND BEARING

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1. Solve: |x - 2| = 5

A 7 only

B -3 only

C 7 and -3

D 2 and 5

2. Solve: |x| + 2 = 5

A 3 only

B -3 only

C 3 and -3

D 7 and -7

3. What is the angle of depression from a point A (height 100 m) to point B on the ground if the horizontal distance is 100 m?

A 45°

B 30°

C 60°

D 90°

4. Solve: √(4x) = 8

A 2

B 16

C 32

D 4

5. Solve: |3x - 6| = 0

A 2

B -2

C 0

D 6

6. What is the solution of √(2x + 1) = 5?

A 12

B 24

C 6

D 8

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

A 4/5

B 3/5

C 5/4

D 3/4

8. Which equation is equivalent to √x = 7?

A x = 49

B x = 14

C x = √7

D x = 7

9. Which of the following is a Pythagorean identity?

A sin² θ + cos² θ = 1

B tan² θ + 1 = sin² θ

C 1 + cot² θ = sec² θ

D sin θ cos θ = 1

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

A 3/4

B 4/3

C 3/5

D 5/4

LINEAR EQUATIONS AND INEQUALITIES + TRIGONOMETRY AND BEARING

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