Mathematics Semester Exam

Apa bentuk paling sederhana dari 5 - 15 - 2?

• 3 + √5

• 3 - √5

• 5 + √3

• 5 - √3

• √5 - √3

What is the simplest form of the following equation log100010 + log216log6 = ...?

• 3

• 2

• 1

• 6

• 5

What is the value of x that satisfies the equation |x - 6| = 2?

• 2

• 8

• 4 or 8

• -2 or 2

• -4 or 6

Determine the solution set of the following system of linear equations: x − y = 11 and 2x + y = 19.

• (-10,-1)

• (10,1)

• No solution

• Infinite solutions

• (1,-10)

The 5th and 15th terms of an arithmetic sequence are 22 and 62 respectively. What is the 100th term of this arithmetic sequence?

• 402

• 392

• 381

• 296

• 425

Determine the sum of the first 6 terms of a geometric series if the first term is 8 and the ratio is 1/2.

• 63/4

• 65/4

• 4

• 10/4

• 6

What is the equation of the axis of symmetry of the quadratic function 3x² + 12x - 5?

• x = 5

• x = 2

• x = 1

• x = -2

• x = -5

In the image below, which area represents the solution set of the inequality system 2x + y ≤ 4 and x + y ≤ 3?

• I

• II

• III

• IV

• V

What is the adjoint of the matrix A = [[1, 2], [3, 4]]?

• adjA = [[-4, 2], [3, -1]]

• adjA = [[-4, -2], [-3, -1]]

• adjA = [[4, -3], [-2, 1]]

• adjA = [[4, -2], [3, -1]]

If f(x) = 3x + 7 and g(x) = 5x - 3, then what is (fog)(x)?

• 2x - 10

• 3x - 3

• 8x + 4

• 15x - 2

• 15x + 2