A
A quadratic function has a vertex at. What does the vertex represent on its graph?
A. The highest or lowest point of the parabola
B. The point where the graph crosses the y-axis
C. The point where the graph crosses the x-axis
D. The point where the slope becomes constant
A. The highest or lowest point of the parabola
Consider the function. What does the number 1 represent in the equation? y=mx+1
A. The slope of the line
B. The y-intercept of the line
C. The x-intercept of the line
D. The rate of change of the parabola
B. The y-intercept of the line
What does the slope of a linear function tell us about its graph?
A. It tells the width of the graph.
B. It tells the highest point of the graph.
C. It tells where the graph crosses the y-axis.
D. It tells the steepness and direction of the line.
D. It tells the steepness and direction of the line.
Which situation best represents a linear function?
A. The path of a firework forms a curved trajectory.
B. The area of a square changes as its side length changes.
C. A tricycle fare increases by Php 5 for every kilometer traveled.
D. The height of a ball changes as it moves upward and downward.
C. A tricycle fare increases by Php 5 for every kilometer traveled.
Carlo wants to buy a laptop worth Php 60,000. He can either pay the full amount now or take a loan with monthly payments that will result in a total repayment of Php 72,000 over the loan period. Which is the best financial decision, assuming Carlo has enough savings to pay for the laptop immediately and there are no other important differences between the options?
A. Pay in full because the loan would cost Php 12,000 more overall.
B. Take the loan because Php 72,000 is only slightly higher than Php 60,000.
C. Take the loan because paying monthly is always better than paying in full.
D. Either option because both require Carlo to spend money.
A. Pay in full because the loan would cost Php 12,000 more overall.
Ana has Php 50,000 to invest for 3 years. Bank A offers 8% annual compound interest, while Bank B offers 7.5% annual compound interest. Both banks have the same fees and conditions. Which investment should Ana choose, and why?
A. Bank B, because a lower interest rate results in less risk.
B. Bank A, because it will provide a higher future value after 3 years.
C. Bank B, because the difference in interest rates is too small to matter.
D. Either bank, because both will produce the same future value.
B. Bank A, because it will provide a higher future value after 3 years.
Rico has Php 1,000,000. Option A adds Php 50,000 each year. Option B grows by 5% each year. After 3 years, which option has the greater value?
A. Option A, because Php 1,150,000 is greater than Php 1,157,625.
B. Option B, because Php 1,157,625 is greater than Php 1,150,000.
C. The options are equal because both use the same starting value.
D. There is not enough information because percentages cannot be compared with pesos.
B. Option B, because Php 1,157,625 is greater than Php 1,150,000.
Two cylindrical containers have the same height. Container A has a radius of 5 cm, while Container B has a radius of 7 cm. If both containers need to be completely covered with paint, which container will require more paint?
A. Container A, because it has a smaller radius
B. Both containers, because they have the same height
C. Both containers, because cylinders have the same formula
D. Container B, because its larger radius gives it a greater surface area
D. Container B, because its larger radius gives it a greater surface area
What is the surface area of a rectangular prism with length 4 cm, width 3 cm, and height 2 cm?
A. 52 sq cm
B. 48 sq cm
C. 36 sq cm
D. 24 sq cm
A. 52 sq cm
A student needs to design a label that covers the entire outside surface of a cylindrical can, including the top and bottom. Which approach is the most appropriate?
A. Calculate the curved surface area and add the area of the two circular bases.
B. Calculate the curved surface area and consider the circular parts of the can.
C. Calculate the areas of the circular bases and consider the curved surface of the can.
D. Calculate the surface measurements of the can and combine the areas of its different surfaces.
A. Calculate the curved surface area and add the area of the two circular bases.
Which equation represents a linear function?
A. y = x^3
B. y = sqrt(x)
C. y = 3x - 7
D. y = x^2 + 4
C. y = 3x - 7
Which feature identifies the graph of a quadratic function?
A. It forms a parabola.
B. It is a horizontal line.
C. It has no turning point.
D. It is always a V-shaped graph.
A. It forms a parabola.
For the function y = -2x + 5, what are the slope and y-intercept?
A. slope = 5; y-intercept = -2
B. slope = 2; y-intercept = 5
C. slope = -5; y-intercept = 2
D.slope = -2; y-intercept= 5
D.slope = -2; y-intercept= 5
What is the vertex of the quadratic function y = (x - 3)^2 + 4?
A. (-3, 4)
B. (3, 4)
C. (4, 3)
D. (3, -4)
B. (3, 4)
Which equation represents a cubic function?
A. y = x^3
B. y = x^2
C. y = sqrt(x)
D. y = 3x + 1
A. y = x^3
For the square root function y =sqrt(x - 2), what is the domain over the real numbers?
A. x > 2
B. x <2
C. x > -2 only
D. all real numbers
A. x > 2
Which statement is true about the cube root function y = cube rt(x)?
A. Its graph is a parabola.
B. Its range is y > 0 only.
C. Its domain is x > 0 only.
D. Its domain and range are all real numbers.
D. Its domain and range are all real numbers.
Which statement correctly describes scientific notation?
A. It expresses numbers using powers of ten.
B. It expresses numbers using decimal places.
C. It expresses numbers using standard numerical form.
D. It expresses very large or very small numbers in a concise form.
D. It expresses very large or very small numbers in a concise form.
Which type of interest is calculated on both the original principal and the accumulated interest from previous periods?
A. Discount
B. Commission
C. Simple interest
D. Compound interest
D. Compound interest
A sales agent receives a base salary of Php 5,000 plus a 4% commission on sales. If his total sales are Php 80,000, which statement correctly describes how his total earning is determined?
A. Add Php 5,000 to Php 80,000, then multiply the total by 4%
B. Multiply Php 5,000 by 4% and add the result to Php 80,000.
C. Subtract the 4% commission from Php 80,000, then add Php 5,000.
D. Add the Php 5,000 base salary to the 4% commission from Php 80,000
D. Add the Php 5,000 base salary to the 4% commission from Php 80,000
A student needs to design a label that covers the entire outside surface of a cylindrical can, including the top and bottom. Which approach is the most appropriate?
A. Calculate the curved surface area and add the area of the two circular bases.
B. Calculate the curved surface area and consider the circular parts of the can.
C. Calculate the areas of the circular bases and consider the curved surface of the can.
D. Calculate the surface measurements of the can and combine the areas of its different surfaces.
A. Calculate the curved surface area and add the area of the two circular bases.
Why is compound interest commonly modeled by a geometric sequence?
A. The terms are always added without using multiplication.
B. Each new amount increases by exactly the same number of pesos.
C. The amount becomes smaller by the same deduction every period.
D. Each new amount is found by multiplying the previous amount by a common ratio.
D. Each new amount is found by multiplying the previous amount by a common ratio.
Which statement correctly distinguishes gross pay from net pay?
A. Gross pay and net pay are always equal when an employee works overtime
B. Net pay is the take-home pay after deductions are subtracted from gross pay.
C. Net pay is the employee's total income before taxes and benefits are considered.
D. Gross pay is the amount after deductions; net pay is the amount before deductions.
B. Net pay is the take-home pay after deductions are subtracted from gross pay.
Which situation illustrates depreciation?
A. A worker receives a higher salary after promotion. B. A car loses value each year because of use and aging.
C. A savings account grows because of compound interest.
D. A piece of land becomes more expensive because demand increases.
B. A car loses value each year because of use and aging.
A class is asked to create a real-life pattern that can be represented by a geometric sequence. Which example would be the best choice?
A. Saving Php 100 every week
B. Walking 2 kilometers more each day
C. A population that doubles every year
D. Walking 2 kilometers more each day
C. A population that doubles every year