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Cartesian Product & Relation

Total questions: 25

Worksheet time: 14mins

Name
Class
Date
1.

If :n(X)=4 , Y={3,4} , then n(X×Y)=......

a)

6

b)

10

c)

9

d)

8

2.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
3.
What is the ordered pair of point E?
a)
(2,5)
b)
(5,2)
c)
(-5,2)
d)
(5,-2)
4.

The cartesian product of any given sets is represented by elements in

a)

roster form

b)

Ordered Pair form

c)

Set builder form

d)

verbal form

5.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
6.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
7.
In the given relation, what domain value corresponds to the range value -2?
{(-1,2), (-2,4), (2,5), (0,-2), (2,0)}
a)
-2
b)
0
c)
2
d)
4
8.

Which of the the following statement is true.

a)

1, 11, 15 and 17 are domain values

b)

2 and 34 are domain values

c)

(11, 2) and (17, 2) are ordered pairs

9.

List 1 set of ordered pair

(a)  

10.

Marie is a __________ value.

a)

Range

b)

Domain

11.
State the domain of the relation.
a)
{ 8, -6, 2, 0 }
b)
( 8, -6, 2, 0 )
c)
(5, -9, 5, -8)
d)
{ 5, -9, 5, -8 }
12.
State the range of the relation. 
{ (3, -2) , (4, -3), (5, -4), (6, 0) }
a)
(3, -2, 4, -3)
b)
(-2, -3, -4, 0)
c)
{ -2, -3, -4, 0 }
d)
{ 3, 4, 5, 6 }
13.
The relation that is represented by the equation y = 20 - 2x has the domain {3 , 4, 5, 6}. Which of the following sets is the range of the relation?
a)
{3, 4, 5, 6}
b)
{8, 10, 12, 14}
c)
{12, 13, 14, 15}
d)
{14, 16, 18, 20}
14.

The first number in an ordered pair is...

a)

the larger number.

b)

the origin.

c)

the x-coordinate.

d)

the y-coordinate.

15.

The point where the two axes intersect in known as...

a)

the center.

b)

the relation.

c)

the intersection.

d)

the origin.

16.

As the amount of rain decreases, so the does the water level of the river. What is the independent variable?

a)

the amount of rain

b)

the river.

c)

the water level.

d)

decreasing rain.

17.

The faster you drive your car, the longer it will take to stop.

What is the dependent variable?

a)

the car

b)

the speed of the car

c)

the length of the car.

d)

stopping distance of the car

18.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{(-6,14), (0,32), (2,38), (4,44)}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
19.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
20.
What is the range?
a)
{-2, -1, 0, 3}
b)
{3, 0, -1, 0, -2}
c)
{-4, -2, 1, 2, 5}
d)
{-4, -2, -1, 0, 1, 2, 3, 5}
21.
State the domain of the relation.
a)
{ 8, -6, 2, 0 }
b)
( 8, -6, 2, 0 )
c)
(5, -9, 5, -8)
d)
{ 5, -9, 5, -8 }
22.
State the range of the relation. 
{ (3, -2) , (4, -3), (5, -4), (6, 0) }
a)
(3, -2, 4, -3)
b)
(-2, -3, -4, 0)
c)
{ -2, -3, -4, 0 }
d)
{ 3, 4, 5, 6 }
23.
Evaluate the expression if a = -6, b = 2, and c = -10.
2a2 - c + 4b
a)
-54
b)
80
c)
70
d)
86
24.

What point is the y-intercept?

a)

(2,0)

b)

(0,2)

c)

(0,-2)

d)

there is no y-intercept

25.
In the given relation, what domain value corresponds to the range value -2?
{(-1,2), (-2,4), (2,5), (0,-2), (2,0)}
a)
-2
b)
0
c)
2
d)
4