Unit 1 - Algebra 2 Review
Which of the following are rational numbers?
16, 3/2, √ 7, 9,
16, 3/2, 9
How many ways can 4 candles be lined in a row?
24
If a right triangle has legs with lengths of 3 & 4 ft respectively, what is the length of the hypotenuse?
Be sure to include units. (ft)
5 ft
What is the equation used to find the x-value of a parabola's vertex from its equation in standard form?
-b/2a
Is -1 a whole number?
no
What is the first step one should take in factoring the following?
3x2 + 6x + 9
Take out the GCF
Simplify the following.
6!
Which quadrant of a graph is quadrant III?
(top left, top right, bottom left, or bottom right)
bottom left
Type out vertex form.
You can use y instead of f(x).
If your answer includes exponents, type them in the following format:
x^2 / (2yk)^8
y = a(x-h)^2 + k
Which of the following answers has correctly and fully factored the following?
x2 - 169
A) (x + 3) (x - 3)
B) (x + 11) (x - 11)
C) (x + 13) (x - 13)
D) Cannot be factored
C
Factor this:
x2 - 81
(x-9)(x+9)
How many ways can 7 specific (no repetition) people form a line?
If your answer is 1000 or over, do not use commas.
5040
What is the slope of a horizontal line?
0
What is the axis of symmetry for the following parabola's equation?
(x+ 4)2 + 8
Write your answer as follows:
x = ?
x = -4
If placed on a graph, one might describe the following as...
f(x) = x3
A) cubic
B) logarithmic
C) quadratic
D) doesn't have a specific name
A
i3 is equal to what?
-i
Simplify the following.
(5!)/(3!)
20
What is the slope of a vertical line?
undefined
For the following quadratic equation, is the vertex a minimum or a maximum?
-x2 + 4x + 4
minimum
In how many ways can 11 different (no repetition) pencils be arranged?
Disregard orientation.
((i pray for you if we're not allowed to use calculators))
39916800
√x5
If your answer includes a radical sign, type it as follows: rad(variable) (e.g. rad(x)
If your answer includes exponents, type it as follows: x^y (e.g. x^2)
x^2 x rad(x)
How many 4 digit codes can be created using the digits 0-9?
No repetition of any single digit is allowed.
3628800
Suppose there is a line with a slope of 2/3. If there were to be a line perpendicular to it, what would the slope of this new line be?
-3/2
Suppose there's a polynomial function with a highest variable exponent of 7 (x7).
Determine whether or not the end behavior for each end is identical or not.
(identical, different)
different
In which unit did we study the distance formula?
unit 3