Topics
6. Functions & Relations
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United States of AmericaFL
Grade 8

6.02 Review of plotting points and representing relations

Lesson
Worksheet
Practice
Worksheet
Points on the coordinate plane
1

Describe how you would move on the coordinate plane from the origin to plot the point \left(9, 14\right).

2

In which quadrant do the following points lie?

a
\left(8, 6\right)
b
\left(2, - 5 \right)
c
\left(-4, 4\right)
d
\left(-4, -5\right)
e
\left(-10, -2\right)
f
\left(12, 1\right)
g
\left(-8, 8\right)
h
\left(7, -6\right)
3

State the quadrants that have:

a

Points with a positive y-coordinate.

b

Points with a positive x-coordinate.

c

Points with a negative y-coordinate.

d

Points with a negative x-coordinate.

e

Points where the x-coordinate and y-coordinate have the same sign.

f

Points where the x-coordinate and y-coordinate have the opposite sign.

g

Points with a negative x-coordinate and a positive y-coordinate.

h

Points with a negative x-coordinate and a negative y-coordinate.

4

Consider the points A and B plotted on the coordinate plane:

a

Write the coordinates of point A.

b

Write the coordinates of point B.

c

Which quadrant does point A lie in?

d

Which quadrant does point B lie in?

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
5

Consider the points A and B plotted on the coordinate plane:

a

Write the coordinates of point A.

b

Write the coordinates of point B.

c

Which axis do points A and B lie on?

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
6

Consider the following coordinate plane:

-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
x
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
y

State the coordinates of the following points:

a
A
b
B
c
C
d
D
e
E
f
F
g
G
h
H
i
I
j
J
k
K
l
L
7

Consider the point \left(6, - 8 \right).

a

Plot the point on a coordinate plane.

b

In which quadrant does the point lie?

8

Plot the following points on a coordinate plane:

a
A \left(4, 0\right)
b
B\left(0, 8\right)
c
C\left(4, 6\right)
d
D\left(7, 3\right)
e
E\left(7, 7\right)
f
F\left(0, 0\right)
g
G\left( - 9 , 10\right)
h
H\left(10, - 2 \right)
i
I\left( - 6 , - 5 \right)
j
J\left(-1, 0\right)
k
K\left( 8 , 2 \right)
l
L\left(-8, 3\right)
9

Consider the following coordinate plane:

Determine which point has the following coordinates:

a
\left(7, - 9 \right)
b
\left( - 8 , - 5 \right)
c
\left(2, 8\right)
d
\left( - 5 , 2\right)
-8
-6
-4
-2
2
4
6
8
x
-8
-6
-4
-2
2
4
6
8
y
Relations
10

Express each of the following relations in a table of values:

a
\left\{\left(2, 2\right), \left(4, 4\right), \left(6, 3\right), \left(7, 5\right)\right\}
b
\left\{\left(3, 9\right), \left(6, 2\right), \left(8, 6\right), \left(10, 3\right)\right\}
c
\left\{\left(1, 2\right), \left(4, 9\right), \left(7, 1\right), \left(10, 3\right)\right\}
d
\left\{\left(3, 4\right), \left(6, 6\right), \left(8, 2\right), \left(10, 8\right)\right\}
e
\left\{\left(2, 7\right), \left(3, 2\right), \left(5, 5\right), \left(7, 3\right), \left(12, 8\right) \right\}
f
\left\{\left(-4, 9\right), \left(-1, 5\right), \left(3, 7\right), \left(6, 8\right), \left(9, 3\right) \right\}
g
\left\{\left(-2, -9\right), \left(-4, -2\right), \left(-5, -7\right), \left(-8, 8\right)\right\}
h
\left\{\left(\dfrac{1}{5}, 3\right), \left(\dfrac{1}{4}, 5\right), \left(\dfrac{1}{3}, 6\right), \left(\dfrac{1}{2}, 8\right)\right\}
11

For each of the following relations represented by a table, represent the relation on a coordinate plane:

a
x12345
y612182430
b
x12345
y51-3-7-11
c
x127913
y-3-3-3-3-3
d
x510152025
y1530456075
e
x-6477910
y2118-7-10
f
x-3-2-20112
y8437210
g
x-4-3-2-101234
y432101234
h
x-4-3-2-101234
y-43-2101-23-4
12

Express each of the following relations as a series of points on the coordinate plane:

a
\left\{\left(1, 2\right), \left(3, 5\right), \left(7, 8\right), \left(8, 11\right)\right\}
b
\left\{\left(2, 3\right), \left(5, 6\right), \left(9, 11\right), \left(14, 16\right)\right\}
c
\left\{\left(5, 5\right), \left(10, 9\right), \left(11, 12\right), \left(13, 17\right)\right\}
d

\left\{\left(2, 5\right), \left(7, - 3 \right), \left(5, 2\right), \left( - 4 , - 9 \right)\right\}

e

\left\{\left(2, 5\right), \left(2, 7\right), \left( - 3 , - 4 \right), \left( - 9 , 13\right)\right\}

f

\left\{\left(1, 5\right), \left(1, 1\right), \left(7, - 2 \right), \left( - 5 , - 10 \right)\right\}

g

\left\{\left(1, 5\right), \left(7, - 2 \right), \left( - 5 , - 10 \right), \left(13, - 13 \right)\right\}

h

\left\{\left(1, 5\right), \left(1, 7\right), \left( - 2 , - 5 \right), \left( - 5 , - 10 \right)\right\}

13

A relation is defined as follows y = - 4 if x is positive and y = 4 if x is 0 or negative.

a

Complete the table for this relation.

x-4-3-2-101234
y
b

Plot the points on a coordinate plane.

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