Polynomials
Quadratics
Systems of Equations
Vocabulary
Misc
Exponents
100
A polynomial is in this form when terms are ordered from highest exponent on the variable to lowest.
What is standard form?
100
This point of a parabola is often referred to as a minimum or a maximum.
What is a vertex?
100
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?
100
Terms that have variable(s) raised to the same power(s). They may be combined by addition or subtraction.
What are like terms?
100
This expression
9a^4-36a^2
when factored fully.
What is
9a^2(a+2)(a-2)
?
100
The base of the exponential expression
x^3
What is x?
200
The name of a polynomial with three terms.
What is a trinomial?
200
It is the zero(s) of the quadratic function graphed below:
What are -4 and 0?
200
The solution set to the following system:
{(3x-2y=-16),(x+y=-7):}
What is
(-6, -1)
200
Another word for the zeros of a function.
What are the roots?
200
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?
200
The expanded form is
a*a*a*a
What is
a^4?
300
Simplified, standard form of
(-8x+10)-(3x-8)
What is
-11x+18?
300
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
?
300
The solution set to the following system:
{(3x+6y=27), (x+2y=11):}
What is No Solution, or the empty set?
300
The coefficient of this monomial term.
-12xy^3
What is
-12
300
Three function families that you have learned in Algebra I.
What are linear, quadratic and exponential?
(or cubic, square root, absolute value, piecewise)
300
This exponent causes any expression (except for base = zero) to equal 1.
What is zero?
400
Simplified standard form of
(4a^3b^2)^2
What is
16a^6b^4?
400
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
400
The solution of the following system:
{( 2x+8y=6),(-5x-20y=-15):}
What is Infinite Solutions?
400
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?
400
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?
400
When multiplying the same base times the same base, as in this expression,
a^5*a^2,
this operation can be used on the exponents to simplify the expression.
What is addition?
500
It's the simplified form of this fraction
(-20x^3y)/(10xy^4)
What is
x(-2x^2)/y^3
?
500
The number of real roots of the quadratic equation graphed below:
What is no real number solutions?
500
The solution to the following system:
{(5x+y=9), (10x-7y=-18):}
What is
(1, 4)
500
The way you read the following function notation [do not read it aloud!]:
f(x)
What is "f of x"?
500
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?
500
When dividing the same base by same base, as in the following expression,
a^5/a^2
this operation can be used on the exponents.
What is subtraction?
600
It's the simplified, standard form of
(x-2)(x-8)
What is
x^2-10x+16
600
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?
600
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?
600
To simplify the expression
-(2x+6)
you need to apply this property.
What is the Distributive Property?
600
The height of a football kicked into the air is modeled by this type of function.
What is a quadratic function?
600
The direction of change (growth or decay) and the percent rate of change per time period, in the equation
y=21,000(0.88)^t
What is decay by 12% per period?