Practice Test: Jadual Spesifikasi Ujian

Dividing both sides of the equation by 2 gives x = 5. This is a basic linear equation solved by isolating the variable.

In the slope-intercept form y = mx + b, the coefficient m is the slope. Here, m equals 3.

First, add the numbers inside the parentheses: 2 + 3 = 5. Then multiply by 4 to get 20.

Multiplying 1/2 by 8 gives 4. This confirms the basic rule of multiplying a fraction by a whole number.

The square root of 81 is 9 because 9 multiplied by 9 equals 81. This is a fundamental property of square roots.

The quadratic factors into (x - 2)(x - 3) because -2 and -3 multiply to 6 and add up to -5. This is a standard factoring technique for quadratics.

Dividing the equation by 2 gives x² - 4 = 0, which factors as (x - 2)(x + 2) = 0. Therefore, x equals 2 or -2.

Using the distance formula: √[(7-2)² + (11-3)²] equals √(25+64), which simplifies to √89. This employs basic coordinate geometry.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). This is fundamental in Euclidean geometry.

Subtracting 2 from both sides gives x/3 = 3, so multiplying by 3 yields x = 9. This is a straightforward linear equation.

Since 10² equals 100, log base 10 of 100 is 2. This is a basic log function evaluation.

Expanding gives 2a + 6 - 4a, which simplifies to -2a + 6 by combining like terms. It tests distributive property and combining like terms.

Substitute x = 3 into the function: 3(3) - 4 equals 9 - 4, which is 5. This shows evaluation of a linear function.

The area of a circle is calculated as π times the square of its radius. The other formulas correspond to circumference or are incorrect for area.

Dividing (1/x) by (1/y) is equivalent to multiplying 1/x by y/1, which simplifies to y/x. This involves understanding the division of fractions.

The quadratic factors as (x - 2)(x - 4) = 0, so the solutions are x = 2 and x = 4. This question reinforces techniques in solving quadratic equations.

The midpoint formula is ((x₝ + x₂)/2, (y₝ + y₂)/2). Calculating gives ((-3+5)/2, (4+(-2))/2) = (1, 1).

To find the x-intercepts, set f(x) = 0. Factoring the quadratic yields (x - 1)(x - 3) = 0, so the intercepts are (1, 0) and (3, 0).

Using the Pythagorean Theorem, the hypotenuse is √(5² + 12²) = √(25 + 144) = √169, which equals 13. This is a classic example of a Pythagorean triple.

Using substitution or elimination, solving the system yields x = 8/3 and y = 5/3. This problem integrates knowledge of solving simultaneous linear equations.