Chapter 1
Basic Concepts
Basic Concepts
a*1/a=1
What is the Multiplicative Inverse Property?
x when 3x+8=50
What is 14?
A type of inequality which will result from
4<=x<9
What is a conjunction?
An example of this sequence would be 25, 20, 16, 12.8.....
What is a geometric sequence?
In slope-intercept form 9x+3y=7
What is
y=-3x+7/3
The solution to
y=x-3
3x+2y=14
What is (4,1)
The sum of a monomial and binomial with no like terms
What is a trinomial?
For
18d^2e^3, 81d^2e^4, 36d^2e^5
9d^2e^3
What is the Greatest Common Monomial Factor?
Simplified
sqrt(350t^4u^12v^10
What is
5t^4u^6v^5sqrt14
As an algebraic expression: "Eighty-seven less than twice a number"
h when
S=4pir^2h
What is
S/(4pir^2)
In interval notation
-8<x<=4
What is
(-8,4]
This test can be used to determine if a relation is a function simply looking at a graph.
What is vertical line test?
The slope of a line containing the points of (9, 0) and (4, 0)
What is 0?
The solution to
-2t=u
2u=2t+14.4
What is (-2.4, 4.8)?
((-2a^0)/b^-3)^4
What is
16b^2
Factored
p^2+p-30
What is
(p-5)(p+6)
The hypotenuse of a right triangle with sides of lengths 7 and 3
What is
sqrt58
In Scientific Notation
-56870
What is
-5.687*10^4
The solution set for
abs(x+6)+8=6
What is
emptyset
In set builder notation
4<=x
What is
{x|x>=4}
f(g(2)) given
f(x)=6x and g(x)=x^3
What is 48?
Parallel to 3x+2y=8 with a y-intercept of -6
What is
y=-3/2x-6
The solution to
5x+y=62
3x+y=44
What is (9, 17)?
The classification (by terms and degree) of
-7j^4k^2-13k^8+8j^4k^2
What is an Octic Trinomial?
Factored
14c^3-35c^2d+6cd^3-15d^4
What is
(7c^2+3d^3)(2c-5d)
9nsqrt17-5sqrt(17n^2)+11nsqrt272
What is
48nsqrt17
When a=6
4-a^3-3a
What is -230
V=4/3pir^3
Radius of a sphere with volume of
9/16pi ft^2
What is
3/4
feet
In interval notation
a!=5
What is
(-∞,5)∪(5,∞)
f(g(2)) given
f(x)=g(x+1) and g(x)=3x^2
What is 507?
The slope of a line containing the points (0, 5) and (5, 0)
What is -1?
The Solution to
9x-3y=3
12x+5y=13
What is
(2/3, 1)
(12c^2-5c-7)(7c^2+4c+9)
What is
84c^4+13c^3+39c^2-73c-63
Factored
12z^2-16z-16
What is
(4z-8)(3z+2)
or
(12z+8)(z-2)
Simplified
sqrt(2)/sqrt3
What is
sqrt6/3
The property which is used to prove that
0^0
is undefined.
What is the Law of Exponents for division?
(a^m)/(a^n)=a^(m-n)
The Solution set for x when
abs(3x)+5=6
What is
{1/3,-1/3}
-2/3abs(a)<=-5
What is
a<=-15/2 OR a>=15/2
An example of this sequence would be 1,2,4,8......
What is a geometric sequence?
A graph contains the points (0, 5), (3, 7) and (8, 9) Is this a linear function?
No
The solution to
14-8s=-10r
5-12s=5r
What is
(-4/5, 3/4)
(-6t^3+90t+60)/(3t-15)
What is
-2t^2-10t-20-80/(t-5)
Factored
x^8-1
What is
(x-1)(x+1)(x^2+1)(x^4+1)
The distance from (2, -13) to (10,8)
What is
sqrt505