Review of the Coordinate Plane

1. For which points is the $y$-coordinate greater than $0$?

Choose all answers that apply:

A. Point $A$

B. Point $B$

C. Point $C$

D. Point $D$

2. Use the following coordinate plane to write the ordered pair for each point.

3. Drag the dots to plot $\left(7 \frac{1}{2},-2\right),(-3,7)$, $(2,0)$.

4. Which ordered pair is not graphed below?

Choose 1 answer:

A. $(6, 5 )$

B. $(5, -6 )$

C. $(-6, 6 )$

D. $(6, -5 )$

5. For which points is the $y$-coordinate greater than $-3$?

Choose all answers that apply:

A. Point $A$

B. Point $B$

C. Point $C$

D. Point $D$

6. Use the following coordinate plane to write the ordered pair for each point.

7. Drag the dots to plot $\left(0,8 \frac{1}{2}\right),(-4,-9)$, and $(-6,5)$.

1. A. Point A and D. Point D.

The $y$-coordinate is on the vertical axis.

Values above $0$ on the number line are greater than $0$.

The red line shows where $y=0$. Points above the line have a $y$-coordinate that is greater than $0$.

The points where the $y$-coordinate is greater than $0$ are point $A$ and point $B$.

2.

To get to point $A$ from origin $(0, 0)$, we move right to $0.5$ and up to $4$.

To get to point $B$ from origin $(0, 0)$, we move left to $-3$ and down to $0$.

To get to point $C$ from origin $(0, 0)$, we move left to $-1$ and up to $0$.

3.

To graph $\left(7 \frac{1}{2},-2\right)$, we move right $7 \frac{1}{2}$ from the origin $(0, 0)$, then down $2$ from there.

To graph $(-3, 7)$, we move left $3$ from the origin& $(0, 0)$, then up $7$ from there.

To graph $(2, 0 )$, we move right $2$ from origin  $(0, 0)$, then up $0$ from there.

$\left(7 \frac{1}{2},-2\right),(-3,7)$ and $(2,0)$ are graphed below.

4. D. $(-6, 5 )$

Let's label the graphed points.

$(6,−5)$ was not graphed.

5. A. $(6, 5 )$, C. $(5, -6 )$, and D. $(6, -5 )$

The $y$-coordinate is on the vertical axis.

Values above $-3$ on the number line are greater than $-3$.

The red line shows where $y = 3$. Points above the line have a $y$-coordinate that is greater than $-3$.

The points where the $y$-coordinate is greater than $-3$ are point $A$, point $C$, and point $D$.

6.

To get to point $A$ from origin $(0, 0)$, we move left to $-2$ and up to $4$.

To get to point $B$ from origin $(0, 0)$, we move right $0$ and down to $-3$.

To get to point $C$ from origin $(0, 0)$, we move right to $4$ and down to $-4$.

7. To graph $(0, 8 \frac {1}{2}$, we move right 0 from the origin $(0, 0)$ then up $8 \frac{1}{2}$ from there.

To graph $( -4, -9)$, we move left 4 from the origin $(0, 0)$, then down 9 from there.

To graph $(-6, 5)$, we move left 6 from the origin $(0, 0)$, then up 5 from there.

$\left(0,8 \frac{1}{2}\right),(-4,-9)$, and $(-6,5)$ are graphed below.

1. Drag the dot to plot $(0, -4 )$ and then select its location on the coordinate plane.

Where is $(0, -4)$ located on the coordinate plane?

Choose 1 answer:

A. First quadrant

B. Second quadrant

C. Third quadrant

D. Fourth quadrant

E. $x$-axis

F. $y$-axis

2. Select the quadrant or axis where each ordered pair is located on a coordinate plane.

3. Point $E$'s $x$- and $y$-coordinates have different signs (one is positive and the other is negative). Neither coordinate is $0$.

Where could point $E$ be located on the coordinate plane?

Choose all answers that apply:

A. First quadrant

B. Second quadrant

C. Third quadrant

D. Fourth quadrant

E. $x$-axis

F. $y$-axis

4. Drag the dot to plot $(-2.5, 2)$, and then select its location on the coordinate plane.

Where is $(-2.5, 2)$ located on the coordinate plane?

Choose 1 answer:

A. First quadrant

B. Second quadrant

C. Third quadrant

D. Fourth quadrant

E. $x$-axis

F. $y$-axis

5. Select the quadrant or axis where each ordered pair is located on a coordinate plane.

6. The ordered pair $(a,b)$ gives the location of point $P$ on the coordinate plane. The values of $a$ and $b$ have the same sign. Neither $a$ nor $b$ is $0$.

Where could point $P$ be located on the coordinate plane?

Choose all answers that apply:

A. First quadrant

B. Second quadrant

C. Third quadrant

D. Fourth quadrant

E. $x$-axis

F. $y$-axis

7. Drag the dot to plot $(6, 0)$, and then select its location on the coordinate plane.

Where is $(6, 0)$ located on the coordinate plane?

Choose all answers that apply:

A. First quadrant

B. Second quadrant

C. Third quadrant

D. Fourth quadrant

E. $x$-axis

F. $y$-axis

1. F. $y$-axis

To graph $(0, -4)$, we move right 0 from the origin, then down 4 from there.

Now, let's look at the quadrants and axes.

$(0, -4)$ is located on the $y$-axis.

2.

Let's plot each point on the coordinate plane.

Now, let's label the axes and quadrants:

3. B. Second quadrant, D. Fourth quadrant

Let's look at the signs of $x$- and $y$-coordinates in each quadrant.

The coordinates in quadrants II and IV have opposite signs.

Neither coordinate is $0$, so point $E$ cannot be located on an axis.

Point $E$ could be located in Quadrant II or Quadrant IV.

4. B. Second quadrant

To graph $(-2.5, 2)$, we move left 2.5 from the origin, then up 2 from there.

Now, let's look at the quadrants and axes.

$(-2.5, 2)$ is located in the second quadrant.

5.

Let's plot each point on the coordinate plane.

Now, let's label the axes and quadrants:

6. A. First quadrant, C. Third Quadrant

Let's look at the signs of $x$- and $y$- coordinates in each quadrant.

The coordinates in quadrants I and III have the same signs.

Neither coordinate is $0$, so point $P$ cannot be located on an axis.

Point $P$ could be located in Quadrant I or Quadrant III.

7. E. $x$-axis

To graph $(6, 0)$, we move right 6 from the origin, then up 0 from there.

Now, let's look at the quadrants and axes.

$(6, 0)$ is located on the $x$-axis.

1. Plot the points $(-3,-4)$and $(6,-4)$ on the coordinate plane below.

What is the distance between these two points?

2. Plot two points that are $6$ units from Point $B$ and also share the same $y$-coordinate as Point $B$.

3. Point $M$ is located at $(-6, 6)$.

What is located $5$ units from point $M$?

Choose 1 answer:

A. Point $A$

B. Point $B$

C. Point $C$

D. Point $D$

4. Point $S$ is located at $(9,-3)$. Point $T$ is located at $(4,-3)$.

What is the distance from point $S$ to point $T$?

5. Plot the points $(2,0)$ and $(2, -5)$ on the coordinate plane below.

What is the distance between these two points?

6. Plot two points that are $3$ units from Point $A$ and also share the same $x$-coordinate as Point $A$.

7. Point $M$ is located at $(9,0)$.

What is located $4$ units from point $M$?

Choose 1 answer:

A. Point $A$

B. Point $B$

C. Point $C$

D. Point $D$

1. 9 units.

Let's plot the two points.

Now, let's find the distance between the points.

The distance between the points is 9 units.

2.

The coordinates of point $B$ are $(1, 3)$. Each new point must have an $y$-coordinate of $3$.

First let's plot the point that has an increase of $6$ in the $x$-coordinate.

Now let's plot the point that has a decrease of $6$ in the $x$-coordinate.

The two points that are $6$ units from point $B$ and also share the same $y$-coordinate as $B$ are shown in the graph.

3. B. Point $B$

First, let's graph point $M$.

Now, let's see what is $5$ units from point $M$.

Point $M$ is 5 units from point $B$.

4. 5 units.

First let's plot the two points.

Now, let's find the distance between the points.

The distance from point $S$ to point $T$ is 5 units.

5. 5 units.

Let's plot the two points.

Now, let's find the distance between the points.

The distance between the points is 5 units.

6.

The coordinates of point $A$ are $(5, 6)$. Each new point must have an $x$-coordinate of $5$.

First let's plot the point that has an increase of $3$ in the $y$-coordinate.

Now let's plot the point that has a decrease of $3$ in the $y$-coordinate.

The two points that are $3$ from point $A$ and also share the same $x$-coordinate as Point $A$ are shown in the graph.

7. A. Point $A$.

First, let's graph point $M$.

Now, let's see what is $4$ units from point $M$.

Point $M$ is 4 units from point $A$.

1. Juan graphed the relationship between the temperature and the change in the number of people sledding at a park.

The $x$-coordinate is the temperature in ${ }^{\circ} \mathrm{C}$ and the $y$-coordinate is the change in the number of people who are sledding.

Which quadrant could contain a point showing $2^{\circ} \mathrm{C}$ below zero and a decrease of $7$ people sledding?

Choose 1 answer:

A. Quadrant I

B. Quadrant II

C. Quadrant III

D. Quadrant IV

2. In the coordinate plane below, the $x$-axis represents the number of hours before or after noon. For example, $-1$ would represent 11.am. The $y$-axis represents the temperature in degrees Celsius. The points $(-1, 6)$ and $(7,6)$ represent two temperatures at different times of the day.

Plot the points on the coordinate plane.

How many hours pass between the two temperatures shown?

3. Rania graphs the relationship between temperature $\left(\text { in }{ }^{\circ} \mathrm{C}\right)$ and elevation (in $\text {m}$) in $9$ different cities (shown below).

What was the temperature in the city with an elevation of $-9 \text {m}$?

4. Mei graphed the locations of several places in her town on the coordinate plane shown below. There is also an ice cream shop halfway between the school and hospital.

At what coordinates should Mei graph the ice cream shop?

5. Elise graphed the relationship between temperature and elevation for several cities. The $x$-coordinate is the elevation in meters and the $y$-coordinate is the temperature in ${ }^{\circ} \mathrm{C}$.

Which quadrants could contain a point showing a city above sea level?

Choose 1 answer:

A. Quadrant I

B. Quadrant II

C. Quadrant III

D. Quadrant IV

6. A coordinate map of the local mini-golf course is shown below. The tee on the first hole is located at the point $(-9,-7)$. The hole is located at the point $(-5,-7)$.

Plot the tee and the hole on the map.

How far is the tee from the hole?

7. Mikoto graphed (shown below) the relationship between the temperature $\left(\text { in }^{\circ} \mathrm{C}\right)$ and her cat's change in weight $(\operatorname{in} g)$ over the last $10$ days.

What is the meaning of point $A$?

Choose 1 answer:

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

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

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

D. At $9^{\circ} \mathrm{C}$ above zero, Mikoto's cat gained $2 \mathrm{~g}$.

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 $2 \mathrm{~g}$.