These are Multiple Choice Questions (MCQ) from Exams posted before May 2024. These MCQs get orphaned after the system upgrade.
Solve for the value of x if | 5 - x | = 7
Solve for the value of x if |x - 2| < 3.
Solve for the value of x if | x + 2 | > 2
What is the value of 0.727272 in fraction?
The value of pi to the nearest ten places is…
What is the resulting number if you think of any number
A Toyota Tamaraw FX leaves a certain station at noon, traveling due north at 40 kph.
Cars A and B leave from the same town at the same time and travel in opposite directions
Find a number such that 2/3 of the number increased by one is 13.
$\sqrt[m]{\sqrt[n]{x}}$ could be expressed as…
$b^{m/n}$ could be expressed as...
Simplify $2\sqrt{8x^3} + 3x\sqrt{32x} - x\sqrt{18x}$
Find the slope of the line determined by the points (-3, 4) and (1, -6).
Find the equation of a line with slope 2/3 passing through point (0, -5).
Find the equation of a line having a slope of 2 and y-intercept of 3.
A line with equation ax + by = 3 passes through (6, 3) and (-1, -1). Find a and b without finding the slope.
A student in a chemistry laboratory wants to form a 32 milliliter mixture of two solutions to contain 30% acid.
Evaluate $\begin{vmatrix}8 & -20 \\ 4 & 10\end{vmatrix}$.
Solve for x if $\begin{vmatrix}x & 2 \\ 5 & 3\end{vmatrix} = 8$
Solve for the determinants: $\begin{vmatrix}1 & 2 & 3 \\ 2 & -1 & 4 \\-1 & -1 & -5\end{vmatrix}$
The graph of y = ax^2 + c has its vertex at (0, 4) and passes through the point (3, -5)
A company’s daily profit P in pesos, is given by the equation P = -2x^2 + 120x - 800
A student received grades of 72, 75, and 78 on three tests. What must her score in the next test be for her to have an average grade of 80 for all four tests?
One pipe can empty a tank in 3 hours. A second pipe takes 4 hours to complete the same job. How long will it take to empty the tank if both pipes are used?
The denominator of a certain fraction is 1 more than the numerator. If the numerator is increased by 2 and 1/2, the value will be equal to the reciprocal of the original fraction. Find the original fraction.
A certain university gives 4 points per credit for a grade A, 3 points per credit for B, 2 points per credit for grade C, a point per credit for grade D, and zero for an F.
A bookstore has a stock of 30 paperback copies of Surveying as well as 50 hardcover copies of the same book.
According to Hooke’s law, the force F required to stretched a spring of x units is directly proportional to the length x.
According to Boyle’s law, the pressure P of a compressed gas is inversely proportional to the volume V.
The resistance of the flow of electricity through a wire depends on the length and thickness of the wire.
Find k so that x + 6 is a factor of x^4 + 4x^3 - 21x^2 + kx + 108.
Decompose (6x^2 + x - 37) / (x - 3)(x + 2)(x - 1) into partial fractions A/(x - 3) + B/(x + 2) + C/(x - 1) and solve for C.
Decompose the given term into partial fraction and compute for the value of A: (7x + 17) / (x + 3)^2
Solve for x if $\sqrt[3]{x^2} + \sqrt[3]{x} - 20 = 0$.
Solve for x from $\sqrt{x - 7} - \sqrt{x} = 1$.
Solve for x if $5^{x^2} = 625$.
Solve for x: $5^{2x + 1} \times 7^{2x} = 175$.
Solve for x if log_x 8 = 3/4.
Solve for y if y = log_100 10.
Solve for y if y = log_2 (log_4 256).
If $\log_x 2 = 1.2a$ and $\log_x 3 = 1.5a$, find $\log_x \sqrt{12}$ .
Solve for x if log8 (x - 6) + log8 (x + 6) = 2.
Solve for x if 2 log25 x - log25 (25 - 4x) = 1/2.
Determine the value of x if log (x^3 - 1) - log (x^2 + x + 1) = 1.
Solve for x if log_3 2x - log_3 (x + 5) = 0.
Solve for x if (x + 2) log_b b^x = x.
Solve for x if log_x (2x)^(3x) = 4x.
A radioactive substance is decaying (it is changing into another element) according to the formula y = Ae^(-0.2x)
A bacterial culture is growing according to the formula y = 10,000e^{0.6x) where x is the time in days. Estimate the number of bacteria after one week.
Solve for x if ln (x + 1) = 1 + ln x.