MATHalinong Iliganon (Senior High)

1. Two angles measuring x and y form a linear pair. What is the value of x if y = 2x + 30.

• 50

• 60

• 70

• 80

Solve the inequality: |x² - 4| < 5

• -3 < x < 3

• -1 < x < 1

• -3 < x < -1 or 1 < x < 3

• x < -3 or x > 3

Find the sum of all integers from 1 to 100 that are divisible by 3.

• 1683

• 1550

• 1717

• 1617

A triangle has vertices A(1, 2), B(4, 6), and C(7, 2). What type of triangle is it?

• Equilateral

• Isosceles

• Scalene

• Right-angled

If sin A = 3/5 and cos B = 5/13, where A and B are acute angles, find sin(A + B).

• 63/65

• 33/65

• 56/65

• 16/65

Evaluate the integral: ∫(3x² + 2x - 1)dx

• x³ + x² - x + C

• 6x + 2 + C

• 9x² + 2x + C

• x³ + x² - x

Simplify the expression: (a + b)³ - (a - b)³

• 2b(3a² + b²)

• 6ab²  

• 6a²b + 2b³

• 2a³ + 6ab²

An arithmetic sequence has a first term of 5 and a common difference of 3. The sum of the first n terms is 270. Find n.

• 10

• 12

• 15

• 18

Find the distance between the parallel lines 3x + 4y = 5 and 3x + 4y = 15.

• 2

• 10/5

• 10√13/13

• 2√13/13

Determine the range of the function y = 2 + 3cos(x).

• [-1, 1]

• [-3, 3]

• [-1, 5]

• [-2, 2]