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Basics of ALgebra 2
Basics of ALgebra 2
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1
Name that Function
Cubic
Rational
Absolute Value
Exponential
2
Which of the following functions has the point (5,2) on its graph?
Log(x-4)+2
Log(x-5)+2
Log(x+4)+2
Log(x+5)-2
3
Find the cube root of
3
⟌125
6
5
7
4
4
Name that Function
Absolute Value
Cube Root
Exponential
Linear
5
Name that Function
Quadratic
Exponential
6
Algebra contains.....
Funny face
Variables
Expressions
Expressions and variables.
7
The methods of solving Systems of Equations are:
Graphing, Substitution, Elimination
Elimination, Productivity, Solving
Substitution, Strategy, Elimination
Only Graphing
8
What is a imaginary number?
A ratio
the square root of a negative number
The square root of any number
The square root of a postive number
9
What are the x intercepts of this graph?
(-3,0) and (1,0)
(-4, 1) and (-1, 0)
(-1,0) and (3,0)
(1,0) and (3,0)
10
What order is a complex number written?
x + y
b + ai
a + bi
ai + b
11
Name the x-intercepts.
(-1,0), (-4,0), (0,-3)
(-1,0), (3,0), (0,-3)
(-4,0), (0,-3), (3,0)
(-4,0), (3,0), (-1,0)
12
Name the parent function
greatest integer
cubic
exponential
reciprocal
13
How do you find the y intercept from a table?
Find the pair where the y value is 0
Find the pair where the values are equal
Find the pair where the x value is 0
Find the pair where one value is negative
14
The methods for solving Quadratic Equations are:
Quadratic formula, Factoring, Using square roots
Graphing
Graphing, Factoring
Substitution, Strategy, Elimination
15
Even functions are symmetric about the _____________.
x-axis
y=x
origin
y-axis
16
Name that Function
Linear
Exponential
Quadratic
Cubic
17
Algebra is finding the unknown
False
True
18
Odd functions are symmetric about the _____________.
x-axis
y-axis
origin
y=x
19
What do transformations of functions mean?
It means to determine what the parent function is.
It means to add and subtract a function.
It means to compare two functions.
It means to move, resize, and reflect a function.
20
Which graph is a function?
A
C
B
D
21
What is the complex number?
-2 + 2i
(-2, 2i)
2 - 2i
-2 - 2i
22
What is the name of this function?
identity function
absolute value function
quadratic function
square root function
23
Name the parent function
quadratic
square root
exponential
reciprocal
24
•Find x-intercept & y intercept of the following function:
C
D
A
B
25
This Graph Represents a Decay
False
True
26
What is the complex number?
-1 - 4i
4i - 1
1 - 4i
27
What is the name of this function?
cubic function
rational function
square root function
absolute value function
28
Which polynomial could have this graph?
y=(x+1)(x-1)(3+x)
y=(x+1)x-1)(3-x)
y=(x+1)(1-x)(3+x)
y=(x+1)(1-x)(3-x)
29
What is the complex number?
1 + i
(-1, i)
-1 + i
1 - i
30
What is the inverse of exponential functions?
addition
decimals
logarithms
real numbers
31
Name that Function
Absolute Value
Rational
Exponential
Square Root
32
Name that Function
Square Root
Quadratic
Rational
Cube Root
33
Linear functions are:
those whose graph has a curve.
when numbers are put together
those whose graph has a straight line.
Dangerous! They burn your brain!
34
use algebra tiles to modify the factors of the expression x
2
+ 6x +8
(x+2)(x-4)
(x-2)(x-4)
(x+2)(x+4)
(x-2)(x-4)
35
Which graph is a function?
A
C
B
D
36
Name the parent function
cubic
reciprocal
greatest integer
exponential
37
To get the inverse of a function you....
addition and division
Switch the domain and the range
subtraction and multiplication
Solve for x
38
Finding the Factors
y = 2(x+3)(x-1)
y = (2x+6)(x+1)
y = (x - 3)(2x+2)
y = 2(x-3)(x-1)
39
Name that Function
Cube Root
Absolute Value
Linear
Square Root
40
what is the y intercept
20
19
10
45
41
Name the parent function
exponential
reciprocal
quadratic
square root
42
What is the y intercept
(4,0)
(1,1)
(0,4)
(2,0)
43
What is the complex number?
3i - 5
5 - 3i
(5, -3i)
5 + 3i
44
Exponential or no
Option 3 and Option 4
Option 1 and option 4
Option 2 and option 3
Option 1
45
Name that Function
Absolute Value
Square Root
Exponential
Linear
46
ALGEBRA
B
A
D
C
47
What are the intercepts of the graph?
x-int = -2, y-int = -4
x-int = 4, y-int = 2
x-int = -4, y-int = -2
x-int = 2, y-int = 4
48
Name a solution to the system of inequalities:
(2, 3)
(5, 1)
(3, -4)
(0, -3)
49
Are these functions inverses of each other?
yes
no
50
Another name for input
domain
y-values
range
y-intercept
51
This Graph Represents a Decay
True
False
52
This Graph Represents a Growth
True
False
53
What is the x intercept
(1,1)
(2,0)
(0,2)
(1,0)
54
Finding factors of a number that are all prime.
proportion
prime factorization
scientific notation
standard form
55
Quadratic Equations
f(x) = ( x - 2 )2 + 3
f(x) = ( x + 3 )2 - 2
f(x) = - (x - 2 )2 + 3
f(x) = - ( x + 3 )2 + 2
56
what is the x intercept
6.7
8
-8.01
5.1
57
ALGEBRA
C
B
A
D
58
What is the inverse of a cube root function?
square root function
cube root function
squared function
cubic function
59
This Graph Represents a Growth
False
True
60
Is the graph discrete or continuous?
Discrete
Continuous
61
You solve x
2
+Bx+C for "B" by finding factors of C and
Dividing them
Adding them
Multiplying them
Subtracting them
