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