GKT101: General Knowledge for Teachers – Math

1. C. Quadrant III

An temperature of $2^{\circ} \mathrm{C}$ below zero would be to the left of the $y$-axis.

A decrease of $7$ people sledding would be below the $x$-axis.

The point shows the coordinates $(-2, -7)$.

The point showing a temperature $2^{\circ} \mathrm{C}$ below zero and a decrease of $7$ people sledding is in Quadrant III.

2. $8$ hours.

Let's plot the two points representing the temperatures at two different times of the day: $(-1,6)$ and $(7,6)$

$8$ hours pass before the temperature returns to $6$ degrees Celsius.

3. $7^{\circ} \mathrm{C}$.

Let's find the point that represents the city with an elevation of $-9 \text { m }$.

Now, we look at the $y$-axis to find the temperature in that city.

The temperature in the city with an elevation of $-9 \text { m }$ was $7^{\circ} \mathrm{C}$.

4. $(6,-4)$

The hospital is $8$ units from the school.

The the ice cream shop will be $\frac {8}{2} = 4$ units away from both the school and hospital.

Mei should graph the ice cream shop at coordinates $(6,-4)$.

5. A. Quadrant I, D. Quadrant IV

An elevation above sea level would be to the right of the $y$-axis.

Any point that has a positive $x$-coordinate represents a city above sea level.

The points showing a city above sea level are in Quadrant I and Quadrant IV.

6. $4$ units apart.

Let's plot the two points representing the tee and the hole: $(-9,-7)$ and $(-5,-7)$.

The tee and the hole are $4$ units apart.

7. A. At $9^{\circ} \mathrm{C}$ below zero, Mikoto's cat lost $2 \mathrm{~g}$.

Point $A$ is at $-9^{\circ} \mathrm{C}$ and $2 \mathrm{~g}$

Point $A$ tells us at $9^{\circ} \mathrm{C}$ below zero, Mikoto's cat lost $2 \mathrm{~g}$.