Polynomials
$100 is put into a bank account that pays interest so that the amount in the account grows according to the expression 100(1.06)n, where n is the amount in the account. How much is in the account after 5 years?
179.08
Simplify
(3v-2)-(v-3)+(2v-7)
4v-6
Write as a single power
(74 x 75)/ (74)2
7
What is the equation of a line, and what does each variable represent?
y=mx+b
m=slope
b=y-int
x&y= point on the graph
The straight line that passes through or near as possible to the points on a scatter plot
What is the line of best fit?
What is the degree of the polynomial
3x3-5x2+x+4
Degree 3
Terms 4
A rectangular window frame has dimensions expressed by 3x and 2x-5. Find a simplified expression for the perimeter.
P=10x-10
Write as a single power
[(-4)2]3
(-4)6
The variable for slope, and the 2 formulas to calculate it
m= rise/run
m=y2-y1/x2-x1
A data point that does not fit the pattern of the other data
outlier
What is the degree and number of terms for the polynomial
3x3y3-5x2y+x2+4y+3
Terms 5
Expand:
-5(p2+3p-1)
-5p2-15p+5
Simplify
(n5 x n3) / n4
n4
What does can you conclude about a line that is parallel to y=6x+5
Lines that never meet
Same slope... Therefore slope of new line is 6
A relationship between two variables in which one variable equals a constant multiple of the other, plus a constant value
Hint: This is a type of relation that does not start at the origin
partial variation
Write an algebraic equation to express the total points for the following:
In a hockey tournament, teams are awarded 3 pts for a win, 2 pts for an overtime win, and 1 pt for an overtime loss.
Must include let statements!
Let w=win, o= overtime win, l= overtime loss, t=total points
t= 3w+2o+1l
Expand:
4b(b2-2b+5)
4b3-8b2+20
Simplify
cd3 x c4d2
c5d5
What does perpendicular lines mean?
What does can you conclude about a line that is perpendicular to y=6x+5
Two lines that cross at 90degrees
Slope is the negative reciprocal. Therefore slope of new line is -1/6
A relationship between two variables in which one variable equals a constant multiple of the other
Hint: This is a type of relation starts at the origin
Direct Variation
Simplify by collecting the like terms for the following
3x2-4xy+5y2-6+3x2+4xy-2
6x2+5y2-8
Expand and Simplify
4(2d-5)+3(d2-3d)-2d(d+1)
d2-3d-20
Simplify
(2ab2 x 3a3b3 )/ (4ab2)2
3/8a2b
What is the slope of a vertical line?
What is the slope of a horizontal line?
Vertical slope= undefined
Horizontal slope= 0
Write any equation and determine what the dependent and independent variable would be. Explain
Answers may vary