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WorksheetsEquations and Inequal_Functions and Relations & Domain and Range
Total questions: 40
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
Which is the set of all y-values or the outputs?
a)
Domain
b)
Range
c)
Relation
d)
Function
2.
What is the range of the mapping?
a)
{1, 2, 4}
b)
{0, 1, 2, 3}
c)
{0, 3}
d)
{1, 4}
3.
Does the graph represent a function?
a)
Yes
b)
No
4.
Which relation has a domain of {3,7} and a range of {0,5} ?
a)
(3,5), (3,7), (0,5), (0,3)
b)
(3,0), (7,0), (3,5), (7,5)
c)
(3,0), (3,5), (3,7), (7,5)
d)
(7,0), (5,7), (3,5) (7,5)
5.
What is the domain of a relation?
a)
the set of all x-values
b)
the set of all y-values
6.
A set of ordered pairs is called what?
a)
the domain
b)
a relation
c)
a function
d)
the range
7.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
8.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
d)
D:{0, 1, 2, 3}
R:{0, 1, 2, 3, 4}
R:{0, 1, 2, 3, 4}
9.
Which type of relation is shown?
a)
Mapping
b)
Graph
c)
Table
d)
Set of ordered pairs
10.
Which Table represents the relation {(2,5),(-7,-7),(-1,-2),(5,-1)}?
a)
A
b)
B
c)
C
d)
D
11.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
12.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
13.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
R: {-2, 1}
Not a Function
14.
a)
Function
b)
Not a Function
15.
Is this a function?
a)
Yes
b)
No
16.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
R: {-2, 1}
Not a Function
17.
What is the rule for inequalities?
a)
If you add or subtract by a negative - flip the sign.
b)
If you multiply or subtract by a negative - flip the sign.
c)
Never flip the sign, ever.
d)
If you multiply or divide by a negative - flip the sign.
18.
a + 42 = -34
a)
a = -17/28
b)
a = 8
c)
a = -76
d)
a = -1428
19.
Simplify 6(x + -2)
a)
6x + -2
b)
6x + -12
c)
4x
d)
6x - 2
20.
Solve for x:
(3x + 3)/6 = 10
(3x + 3)/6 = 10
a)
19
b)
-19
c)
21
d)
-21
21.
Joe's BBQ sells BBQ by the pound. Michelle buys $8.75 worth of sides and then 6 pounds of barbeque. If her total bill was $40.55, how much was each pound of barbeque?
a)
$5.30
b)
$3.95
c)
$8.22
d)
$5.32
22.
Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?
a)
4 boxes
b)
5 boxes
c)
6 boxes
d)
7 boxes
23.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
24.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
25.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
26.
The product of x and 7 is not greater than 10
a)
7x >10
b)
7x ≤ 10
c)
7 + x < 10
d)
7 / x < 10
27.
The product of x and 7 is not greater than 10
a)
7x >10
b)
7x ≤ 10
c)
7 + x < 10
d)
7 / x < 10
28.
Do I need to flip my sign?
3x ≥ 12
3x ≥ 12
a)
Yes
b)
No
29.
An elevator has a maximum capacity of 500 pounds. If the luggage weighs 200 pounds, what is the maximum weight allowable for passengers (p).
a)
p ≤ 300
b)
p ≤ 500
c)
p ≥ 200
d)
p ≥ 500
30.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
31.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
32.
You have $137.26 in a bank account. The bank requires you to have at least $50 in your account or else you are charged a fee. Write and solve an inequality that shows the amount you can write your next check for without being charged.
a)
x < $87.26
b)
x ≥ $76.51
c)
x ≤ $87.26
d)
x ≤ $187.26
33.
To get an A on inequalities quiz, you need to score at least 50 points on a two-part test. You score 39 on the first part. What solution set represents how many more points you need?
a)
x ≤ 50
b)
x > 50
c)
x ≥ 11
d)
x > 11
34.
Select the correct graph of the inequality on a number line: x ≤ 8 (Click the image to enlarge)
a)
Option A
b)
Option B
c)
Option C
d)
Option D
35.
Match:
You must be at least 48 inches tall to ride the bumper cars.
You must be at least 48 inches tall to ride the bumper cars.
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
36.
A number divided by -3 gives -9. What is the number?
a)
27
b)
-27
c)
3
d)
-3
37.
If you multiply a number by -4, the result is 28. What is the number?
a)
-7
b)
7
c)
-4
d)
4
38.
If you divide a number by -2, the result is 6. What is the number?
a)
-12
b)
12
c)
-3
d)
3
39.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
40.
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
a)
2 hours
b)
3 hours
c)
4 hours
d)
5 hours
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