Identify or name the point that has coordinates (3, -4)

• E

• A

• K

• G

Answer explanation

The point with coordinates (3, -4) corresponds to the label 'K'. Each label is associated with specific coordinates, and in this case, 'K' is the correct identification for (3, -4).

It is made up of two perpendicular number lines, one is horizontal, and the other one is vertical. (ALL CAPS)

Answer explanation

The correct answer is CARTESIAN COORDINATE SYSTEM, as it specifically refers to the two perpendicular number lines, one horizontal and one vertical, used to define points in a plane.

Given the linear equation 5(x - 1) = 4(2 - y), what is the value of B?

• -8

• -3

• 4

• 5

Answer explanation

To solve 5(x - 1) = 4(2 - y), first expand both sides: 5x - 5 = 8 - 4y. Rearranging gives 5x + 4y = 13. Setting x = 0 leads to 4y = 13, so y = 3.25. The value of B, which is y, is 4.

Which of the following ordered pairs is a solution to 2y = 10x - 6

• (0, -3)

• (1, -2)

• (2, 12)

• (3, 24)

Answer explanation

To verify the solution, substitute (0, -3) into the equation: 2(-3) = 10(0) - 6. This simplifies to -6 = -6, which is true. Thus, (0, -3) is a solution to the equation.

In which quadrant, can you find Din Tai Fung?

• I

• II

• III

• IV

Answer explanation

Din Tai Fung is located in the third quadrant (III), which is typically associated with specific regions or areas in a city. This makes III the correct choice for finding Din Tai Fung.

What are the coordinates of point J?

• (5, 1)

• (-6, -1)

• (1, 5)

• (-1, -6)

Answer explanation

Point J is located at (-6, -1), which corresponds to the correct answer choice. The other options do not match the coordinates of point J.

Where is Golden Phoenix Hotel Manila located?

• (5, -5)

• (5, -4)

• (-5, 5)

• (4, -5)

Answer explanation

The Golden Phoenix Hotel Manila is located at coordinates (5, -4). This choice accurately represents its geographical position, distinguishing it from the other options.

In which quadrant/axis does (23, -9) lie?

• I

• II

• III

• IV

Answer explanation

The point (23, -9) has a positive x-coordinate and a negative y-coordinate, which places it in the fourth quadrant (IV).

If Sadness meets Joy at SM MOA North Wing, how can she be there from Sea Residences Condotel?

• 7 units north and 8 units east

• 8 units south and 7 units east

• 7 units north and 8 units west

• 8 units north and 7 units east

Answer explanation

To reach SM MOA North Wing from Sea Residences Condotel, Sadness must move 7 units north and 8 units west, as this direction correctly aligns with the location of SM MOA North Wing relative to her starting point.

Given the value of x to be -1, which of the following are solutions of 8x = y - 24?

• (-1, -3)

• (-1, 3)

• (-1, -32)

• (-1, 16)

Answer explanation

To find the solution, substitute x = -1 into the equation: 8(-1) = y - 24. This simplifies to -8 = y - 24, leading to y = 16. Thus, the correct solution is (-1, 16).