Explanation

While timeliness is important, it is not considered a core principle of evaluation in education.

Principles focus on evaluation being continuous, objective-based, comprehensive, and used judiciously.

Explanation

To find the distance between two points (x1, y1) and (x2, y2), use the distance formula:

√((x2 - x1)² + (y2 - y1)²)

Given points (p, q) and (p + 4, q + 5):

Step 1: Apply the distance formula

Distance = √((p + 4 - p)² + (q + 5 - q)²)

= √((4)² + (5)²)

= √(16 + 25)

= √41

Explanation

Drama technique can be time-consuming and may cause self-consciousness among students.

It is less suitable for large groups.

It can sometimes make students feel threatened.

Explanation

"If you don't find opportunities" fits grammatically and contextually — it refers to lacking chances to play or participate.

The sentence then suggests an alternative way to stay active.

Explanation

Training focuses on teaching specific skills for immediate application.

It is practical and skill-oriented, unlike broader instructional systems or designs.

Explanation

Given the quadratic equation x² + 2x - 2 = 0:

Step 1: Apply the quadratic formula

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = 2, and c = -2.

Step 2: Calculate the roots

x = (-(2) ± √((2)² - 4_1_(-2))) / 2*1

x = (-2 ± √(4 + 8)) / 2

x = (-2 ± √12) / 2

x = (-2 ± 2√3) / 2

x = -1 ± √3

Explanation

Given x = 3 - √8:

Step 1: Find 1/x

To rationalize the denominator, first simplify √8 to 2√2.

x = 3 - 2√2

1/x = 1 / (3 - 2√2)

Multiply numerator and denominator by the conjugate (3 + 2√2):

1/x = (3 + 2√2) / ((3 - 2√2)(3 + 2√2))

= (3 + 2√2) / (9 - 8)

= 3 + 2√2

Step 2: Calculate x + 1/x

x + 1/x = (3 - 2√2) + (3 + 2√2)

= 6

Explanation

A Criterion Referenced Test measures whether someone has met a specific standard or skill.

It compares performance against fixed criteria.

Explanation

Continuous evaluation helps identify learning gaps and improve teaching methods.

It ensures students’ progress is regularly monitored, raising education standards effectively.

Explanation

Given the equation 4x³ - x² - 11x - 6 = 0 and -1 is a root:

Step 1: Factor out the known root

If -1 is a root, (x + 1) is a factor. Perform polynomial division:

4x³ - x² - 11x - 6 = (x + 1)(4x² - 5x - 6)

Step 2: Factor the quadratic equation

4x² - 5x - 6 = (4x + 3)(x - 2)

Step 3: Find the roots

The factors are (x + 1)(4x + 3)(x - 2) = 0

Roots are x = -1, x = -3/4, and x = 2

The other roots are 2 and -3/4.