Polynomials
Quadratics
Systems of Equations
Vocabulary
Misc
200
A polynomial is in this form when terms are ordered from highest exponent on the variable to lowest.
What is standard form?
200
This point of a parabola is often referred to as a minimum or a maximum.
What is a vertex?
200
Problems of this type can have solutions of the type:
One,
None, and
Infinitely many.
What are the possible solutions to a system of equations?
200
Terms that have variable(s) raised to the same power(s). They may be combined by addition or subtraction.
What are like terms?
200
This expression
9a^4-36a^2
when factored fully.
What is
9a^2(a+2)(a-2)
?
400
The name of a polynomial with three terms.
What is a trinomial?
400
It is the zero(s) of the quadratic function graphed below:
What are -4 and 0?
400
The solution set to the following system:
{(3x-2y=-16),(x+y=-7):}
What is
(-6, -1)
400
Another word for the zeros of a function.
What are the roots?
400
The cost of one orange, when:
The cost of 12 oranges and 7 apples is $5.36.
Eight oranges and 5 apples cost $3.68.
What is $0.26?
600
It's the simplified, standard form of
(x-2)(x-8)
What is
x^2-10x+16
600
It is the equation of the axis of symmetry of the graph of the following quadratic equation:
y=x^2 +2x-8
What is
x=-1
?
600
The solution set to the following system:
{(3x+6y=27), (x+2y=11):}
What is No Solution, or the empty set?
600
The coefficient of this monomial term.
-12xy^3
What is
-12
600
Three function families that you have learned in Algebra I.
What are linear, quadratic and exponential?
(or cubic, square root, absolute value, piecewise)
800
Simplified, standard form of
(-8x+10)-(3x-8)
What is
-11x+18?
800
You can use the quadratic formula to find these exact roots to the equation
y=2x^2-5x-1
(5+sqrt33)/4 and (5-sqrt33)/4
800
The solution of the following system:
{( 2x+8y=6),(-5x-20y=-15):}
What is Infinite Solutions?
800
A method of multiplying each equation in a system by a constant, then combining to get rid of one variable.
What is the elimination method?
800
The final units for the following conversion:
(3 \ "miles")/(1 \ "hour")*(1 \ "hour")/(60 \ "minutes")*(5280 \ "feet")/(1 \ "mile")*(12 \ "inches")/(1 \ "foot")
What is inches per minute?
1000
What is the product of
2x+3
and
4x^2-5x+6
?
What is
8x^3+2x^2-3x+18
?
1000
The number of real roots of the quadratic equation graphed below:
What is no real number solutions?
1000
The solution to the following system:
{(5x+y=9), (10x-7y=-18):}
What is
(1, 4)
1000
The way you read the following function notation [do not read it aloud!]:
f(x)
What is "f of x"?
1000
In the following hiker's log, the one-hour interval with an average speed equal to the average speed over the whole trip:
What is, between 4 and 5 hours?
1200
Factor completely:
5n^2-80
What is
5(n+4)(n-4)
1200
It's the maximum height of a football kicked into the air, modeled by the equation
y=-16x^2+82x
What is 105.06 feet?
1200
The cost of both solid and printed paper rolls, when:
Twelve rolls of solid paper and 9 rolls of printed paper sell for $43.50.
Eight rolls of solid paper and 15 rolls of printed paper sell for $51.50.
What is solid rolls for $1.75 and printed rolls for $2.50?
1200
To simplify the expression
-(2x+6)
you need to apply this property.
What is the Distributive Property?
1200
The height of a football kicked into the air is modeled by this type of function.
What is a quadratic function?