"A single number or variable, or the product of several numbers or variables separated from another term by a + or - sign in an overall expression"
(some variation of this definition)
100
If we know the area of a rectangle and it's width, how do we find the length?
Area divided by width = length.
200
Divide x2y2+4x by 2x
xy2+2
200
Name two factors of 60x+15
15 and 4x+1
200
2/(x-10) + 5x/(x-10)
2+5x/(x-10)
200
What is a solution set?
The solutions. Specifically, a set containing the solution(s). It could also be the empty set.
200
If you divide a 4th degree polynomial by a 3rd degree polynomial, what will the degree of the resulting polynomial be?
1st degree. (linear)
300
What is the opposite of 2x2-5x+6?
-2x2+5x-6
300
What are the factors of 2x2-32?
2, (x+4), and (x-4)
300
Add m+6/9m and m+6/3m
4m+24/9m
300
Define LCM and then LCD
LCM = Least Common Multiple. This is the first multiple in common between two numbers.
LCD = Least Common Denominator. This is the LCM of two or more denominators.
300
In the expression (x+2) ÷ (x+4), can we cancel the x's?
No. These are terms, and not factors.
400
How many terms will we have if we multiply a 4 term polynomial times a trinomial times a binomial times a monomial?
24.
400
Factor 9x2+30x+25
(3x+5)(3x+5)
400
Simplify. x2+5x+6/(x+2)(x-2)
(x+3)/(x-2)
400
Explain why you cannot cancel x+4/x+8 using the vocabulary.
x+4 and x+8 each contain two terms, but contain no common factors. We can only cancel out factors, not terms.
400
If we have an equation x-3/x-1 = x+2/x-1, what is another way we can solve this besides the "solving rational equations method"?
Proportionally, by cross multiplying, then solving.
500
(x+2)(x+2)(x+2)
x3+6x2+12x+8
500
Factor 2x3-18x completely.
2x(x+3)(x-3)
500
(x+1)/y ÷ (x+1)/2y ÷ 2
1
500
List 4 different types of factoring, and what they are.
GCF factoring, difference of two squares, perfect square trinomials, factoring by grouping.
500
If you have a quadratic in the denominator of a fraction, will there always be a real number point where it's undefined?
For example.
x/x2+1
No. Some parabolas can never be zero. (without imaginary numbers)