Untitled Presentation

Multiple Choice

Which of the following pairs of quantities change together when filling a swimming pool at a constant rate?

• The length and width of the pool

• The volume of water and the time taken to fill the pool

• The color of the water and the speed of filling

• The temperature of the water and the pool's depth

Open Ended

Explain the relationship between pairs of quantities that change together. Why is understanding this relationship important in mathematics?

Multiple Select

Which of the following statements best describes when y is a function of x, based on the scenarios provided? (1) The side length of a square is x cm, and its area is y cm². (2) In a rectangle, the perimeter is x cm and the area is y cm². (3) There are 14 ℓ of paraffin. After using x ℓ, y ℓ remains. Select all that apply.

• Only (1)

• Only (2)

• Only (3)

• (1) and (3)

Multiple Choice

If the height of water in a tank increases by 2 cm per minute, and x is the number of minutes, what is the equation relating y (height) and x?

• y = 2x

• y = x + 2

• y = x/2

• y = 2 + x

Multiple Select

Which of the following equations represent y being directly proportional to x?

• y = 8x

• y = x + 4

• y = -10x

• y = x/4

Multiple Choice

Given the function y = ax, if y is directly proportional to x and y = -8 when x = 2, what is the value of a?

• -4

• 4

• -8

• 2

Open Ended

Explain how to determine the equation of a line that passes through the origin and is directly proportional to x, using two given points.

Multiple Choice

Which of the following statements about the coordinate system is correct?

• The intersection of the x-axis and y-axis is called the origin.

• The x-axis is always vertical.

• The y-axis is always horizontal.

• The positive direction of the x-axis is to the left.

Multiple Choice

What shape is formed if you plot all points (x, y) that satisfy y = 2x for x between -5 and 5 at intervals of 0.5?

• A straight line

• A parabola

• A circle

• A rectangle

Open Ended

Compare the graphs of y = 3x and y = -3x. What is the main difference in their direction and slope?

Multiple Choice

Pada grafik ① apakah konstanta perbandingan positif atau negatif?

• Positif

• Negatif

• Tidak bisa ditentukan

• Bergantung pada nilai x

Multiple Choice

Given the function y = 2/3 x, which points does the graph pass through?

• (0,0) and (3,2)

• (0,2) and (3,0)

• (2,3) and (0,0)

• (2,0) and (3,3)

Open Ended

What is the relationship between the area of a rectangle and its side lengths if the area is kept constant? Use the table to explain how changing one side affects the other.

Multiple Select

Which of the following functions shows y inversely proportional to x? Select all that apply.

• y = 12/x

• y = x/12

• y = -4/x

• xy = -20

Open Ended

Explain how the equation y = 6/x represents an inverse relationship between x and y. What happens to y when x increases?

Multiple Choice

What is the relationship between x and y if y is inversely proportional to x and y = 6 when x = 12? What is the value of y when x = 9?

• y = 9

• y = 8

• y = 6

• y = 12

Open Ended

Explain what happens to the value of y in the function y = 6/x as x approaches zero from the positive side. What does this mean for the graph?

Multiple Select

Which of the following statements are true about the graph of y = a/x for a > 0 and a < 0?

• For a > 0, as x increases, y decreases for x > 0.

• For a < 0, as x increases, y increases for x > 0.

• For a > 0, as x increases, y increases for x > 0.

• For a < 0, as x increases, y decreases for x > 0.

Multiple Choice

Given a parallelogram with area 24 cm² and base x cm, what is the formula for its height y in terms of x?

• y = 24x

• y = x/24

• y = 24/x

• y = x*24

Open Ended

Describe the relationship between the clarity of vision (x) and the middle line of the outer ring (y) based on the table provided. How does y change as x increases?

Multiple Choice

Which of the following pairs of quantities change together?

• The number of tissues taken and the number of tissues left in the box

• The number of pages read and the number of pages remaining in a book

• The amount of water filled and the time taken to fill the pool

• The number of cars in a parking lot and the number of seats in a car

Open Ended

Explain the relationship between quantities that change together when filling a swimming pool with water. What factors influence these changes?