Is this a direct variation? If yes, what is the constant of variation?

Yes, the constant of variation is 3

Is this relation a function? If so, identify domain and range.

Domain: (-4, -3, 2, 7) Range: (-1, 0, 1, 5)

To add polynomials you must add the

terms with the same variable and same exponents

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Chapter 4 Review + Polynomial Review + Function Review

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Answers

1
Naming Polynomials
D
A
B
C
2
Domain means the.........
"Y" VALUES
"X" VALUES
3
In functions, two x values can be mapped to the same y value.
True
False
4
Find the slope
-1
-2
1
2
5
What is the domain of this relation?
D = {x}
D = {(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4), (3, 9)}
D = {-2, -1, 0, 1 ,2, 3}
D = {0, 1, 4, 9}
6
Evaluate the function when x=-3: x²+2x+3
-6
9
6
10
7
What is the slope?
0
3
undefined
-3
8
Add the polynomials: (2x²-3)+(5x²+4x)
7x2-4x-3
7x2+x
7x2+1
7x2+4x-3
9
State the domain of the mapping
there is no domain
to know the domain we need to graph the relation
2,1,0,-1,-2
0,1,4
10
Direct variation equation are in: y = ax format.
False
True
11
Subtract the following polynomials:
17w3 + 2w2 - 9w + 11
3w3 - 18w2 - 9w + 11
3w3 + 2w2 - 9w + 7
3w3 + 2w2 - 9w + 11
12
Classifying by degree: 3x⁵-4x + 2
Constant Binomial
Quintic Trinomial
Linear Trinomial
Quintic Monomial
13
multiplying polynomials
12x5+8x4
20x4
7x5+6x4
7x4+8x3
14
Is this a direct variation? If yes, what is the constant of variation?
No
Yes, the constant of variation is 6
Yes, the constant of variation is 2
Yes, the constant of variation is 3
15
In a direct variation equation the a represents the constant of variation.
False
True
16
What is the name of the comic book store?
The androids dungeon
Bizarro comics
Spinster comics
Forbidden planet
17
You can use a table to write an equation (rule) that relates the domain to the function.
False
True
18
when you multiply polynomials, you _____ the exponents.
multiply
subtract
divide
add
19
Are the lines parallel?
No
Yes
20
Find the slope
3/2
2/3
-3/2
-2/3
21
This is a negative slope.
True
False
22
dividing polynomials
4x3+6x2+x
4x3+2x2+x
18x3+2x2+1x
4x3+2x2+1
23
When dividing polynomials we do what to the exponents?
multiply
add
divide
subtract
24
Write a rule for the table below.
y = 5x
y = x + 4
y=\frac{1}{5}x
y = x - 5
25
when you add polynomials, you_____ the exponents.
subtract
add
multiply
keep it the same
26
What is the y-intercept of all direct variation equations?
(0, 1)
(0, 0)
(1, 0)
There is no y-intercept
27
Find the sum of the polynomials below:
7x6 + 11x4 - 5x2 - 9
7x3 + 11x2 - 5x - 9
x3 + 11x2 - 5x - 1
7x3 + 11x2 - 5x - 1
28
Multiplying the polynomials
x2 + 10x + 25
x2 -10x + 25
x2 - 25
x2 + 25
29
Finding Domain involves looking at which axis?
X axis
Both Axes
Neither Axis
Y Axis
30
random trivia: what is the name of this turtle?
shelly
dude
squirt
crush
31
5) Determine the x- and y-intercepts from the following graphs of linear functions. 5y = -x+10
x-int: - 10; y-int: 2
x-int: 10; y-int: 2
x-int: 2; y-int: - 10
x-int: 2; y-int: 10
32
Which of these is a direct variation?
none of these
y = ¾x
x = 5
y = 4x - 3
33
Classifying polynomials: 3x+9x²+5
Quadratic Binomial
Cubic Trinomial
Cubic Binomial
Quadratic Trinomial
34
What is music rhythm counting?
Playing Music
Counting the notes in music
Making Music
Counting the beats in music
35
What is slope?
rise over run
a number
not sure
y=mx+b
36
Use the function table to find the output when the input is 11.
27
4
33
12
37
RANDOM TRIVIA!!! What do snakes smell with?
Their scales
Their eyes
Their toes
Their tongues
38
multiplying polynomials
4k5+10k4-2k3
4k5+10k4-8k3
4k6+2k3
4k6+10k4-8k3
39
Find the slope y = 5x - 3.
Y
5x
5
-3
40
Are the lines parallel?
No
Yes
41
Find the corresponding output.
20
10
2
-2
42
The domain of a function is all of the _______ values.
x
y
43
Classifying by number of terms: 2x² + 3
Trinomial
Monomial
Binomial
Linear
44
Is this relation a function? If so, identify domain and range.
Not a function
Domain: (-4, -3, 2, 7) Range: (-1, 0, 1, 5)
Domain: (-4 to 7) Range: (-1 to 5)
Domain: (-1, 0, 1, 5) Range: (-4, -3, 2, 7)
45
Find the slope.
-5
-1
1
5
46
Subtract the polynomials. Write your answer in standard form.
n4+8n3-3n-1
2n4-8n3-3n+2
47
These two lines are parallel.
False
True
48
Evaluate the function when x=2: f(x)=4x-3
2
10
-5
5
49
The equation to calculate slope is: m=\frac{y_2-y_1}{x_2-x_1}
False
True
50
To add polynomials you must add the
terms with the same variable and same exponents
terms with the same variable
terms that have the same exponents
51
Find the output (y)
21, 33, 42, 63
18, 30, 39, 50
22, 34, 43, 64
25, 30, 51, 60, 100
52
Polynomials
x<font size="2">3 + 2x2 - 5; Linear Binomial</font>
x3 + 2x2 - 5; Cubic Trinomial
x3 + 2x2 - 5; Quadratic Binomial
-5 + 2x2 + x3; Cubic Trinomial
53
The slope of this line is zero.
True
False
54
Multiplying Polynomials
-3x3 - 6x2
-3x2 - 6x
3x3 + 6x2
-3x3 + 6x2
55
Polynomials
-3n3 -5n2 - 8n
-n - 5
-2n2 - 2n
-2n3 + 6n2 - 8n
56
Complete the Table of Values
{-4, -2, 2, 2}
{-1, 1, 3, 5}
{-4, -1, 0, 2}
{-4, -2, 0, 2}
57
Solve this linear system by Substitution:
(7, 3)
(2, 3)
(3, 2)
(3, 7)
58
Is this a function?
Yes
No
59
Is this a function?
No
Yes
60
What can you do with polynomials
Square, factor
Divide, add, subtract
Absolute value, square, add, subtract
Factor, divide, add, subtract, multiply
61
Is this a function?
Yes
No
62
General Trivia: Who is the richest person in the world as of 2021?
Mark Zuckerberg
Bill Gates
Jeff Bezos
Elon Musk
63
Are these lines parallel?
No
Yes
64
What is the Range?
{-5, 0, 1, 7}
{-5, 0, 7}
{ 0, 1, 7}
{1, 5, 7, 0}
65
Evaluate the function when x=0: f(x)=x²+2x+3
6
0
3
2
66
Dividing Polynomials
6n - 1
6n2 - 3
18n2 - 3
6n + 1
67
Are these lines parallel?
Yes
No
68
Find the slope.
Undefined
1
-1
0
69
Calculate range for the function y = 0.1x + 3, with domain values: 10, 20, 30, 40
2.9, 2.8, 2.7, 2.6
13.1, 23.1, 33.1, 43.1
30, 60, 90, 120
4, 5, 6, 7
70
Use the rule to find the missing output numbers.
4, 5, 6, 7
7, 8, 9, 10
9, 10, 11, 12
10, 11, 12, 13
71
Calculate range for the function y = 4x - 2, with domain values: 1, 2, 3, 4
2, 6, 10, 14
6, 14, 14, 18
4, 8, 12, 16
2, 4, 6, 8
72
Polynomials
7n + 3
7n2 - 5n
2n4 + 7n - 5
7n - 5
73
Adding polynomials
-7k4-11k2-6
-k4-11k2+6
-7k4-11k2+6
-7k4+11k2+6
74
Find the vlaue of x when f(x) = 18: f(x) = 4x - 2.
4
5
14
16
75
Is this relation linear or nonlinear?
Linear
Nonlinear
76
Is this a function?
Yes
No
77
Multiplying Polynomials: (5x²)(-2x³)
-2x - 5x
x2
5x + 2x
-10x5
78
What is the range of this relation?
R = {-2, -1, 0, 1, 2, 3}
R = {0, 1, 4, 9}
R = {y}
R = {(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4), (3, 9)}
79
2) Determine the x- and y-intercepts from the following graphs of linear functions.
x-int: 2; y-int: 4
x-int: - 2; y-int: 4
x-int: 4; y-int: - 2
x-int: 4; y-int: 2
80
ALGEBRAIC EQUATIONS
C
A
B
D
81
Add the polynomials. Write your answer in standard form.
3x3+11x2-1
11x3-9x2-3
82
Subtracting polynomials
7n2-3n-6
7n2+19n-2
7n2+19n-6
-21n2-3n-6
83
Which equation is NOT a direct variation?
y = 50x
5x + 2y = 10
-3x + 2y = 0
-2y = x
84
What is the domain of this relation?
D = {(-9, 1), (-5, 5), (1, 8), (7, 1), (7, 4)}
D = {-9, -5, 1, 7, 1 ,4, 5, 8}
D = {1, 4, 5, 8}
D = {-9, -5, 1, 7}
85
multiplying polynomials
32r4-40r3+56r2
32r4-40r2+56r
12r4+3r3+15r2
32r4-40r3+15r2
86
Polynomials
9x - 21
6x2 + 16x - 4
6x - 4
9x2 - 12x - 21
87
What is the linear equation for this graph?
y = 2 + 3x
y = 3 + 2x
y = 3 - 2x
the graph is not linear
88
Is this a direct variation?
No
Yes
89
Which describes your understanding of dividing polynomials?
I need MORE PRACTICE!
I´m an EXPERT!
I´m GETTING THERE!
HELP!
90
Find the rule.
y = 6x
y = 5x
y = 5 + x
y = 6 + x
91
What is the slope of the line passing through points (9, -6) and (3, -18)?
2
6/12
12/6
15/-15
92
What is the range of this relation?
R = {-9, -5, 1 ,7}
R = {1, 4, 5, 8, -9, -5, 1, 7}
R = {y}
R = {1, 4, 5, 8}
93
What is slope??
Velocity
Line Graph
Distance
Steepness of a line graph
94
Category: Naming Polynomials
Cubic
Quadratic
Linear
Quartic
95
Find the value of x when h(x) = 23: h(x) = 9x - 13
36
\frac{10}{9}
\frac{13}{3}
4
96
Write a rule for the table below.
y = x + 4
y = x - 5
y = 5x
y=\frac{1}{5}x
97
The table below shows a direct variation.
True
False
98
Is this a function?
Yes
No
99
Calculate range for the function y = \frac{1}{2}x+2, with domain values: 6, 8, 10, 12
8.5, 10.5, 12.5, 14.5
7, 9, 11, 13
5, 6, 7, 8
4, 5, 6, 7
100
What is range?
The set of x-values.
The set of y-values.
wide open space
The list of coordinates.

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