Polynomials
Solve Completely.
4(8+6+5)
76
What is IQR?
Roughly: The Q3-Q1 OR the range between Q1 and Q3.
What are the two by hand methods used to solve SOE's?
Substitution
Elimination
y=ax2+bx+c
y1~ax12+bx1+c
What are the standard and slope-intercept forms of a linear equation?
y=mx+b
ax+by=c
FOIL and solve Completely.
(8x+5)(5x+6)
40x2+73x+30
Find the measures of center for the following set:
6, 4, 8, 7, 5
Mean:6
Median:6
Mode:None/NA
Min:4
Max:8
How are systems of inequalities solved?
(Not the method, but once they are graphed, what do you do?)
Shade the solution areas and take the double shaded part.
find the axis of symmetry of the following equation: y=x2+5x+6
x=-2.5
What is the slope-intercept equation of a function perpendicular to f(x)=3x+4 and passes through the point (3,5)?
f(x)=-1/3x+6
f(x) is required.
Solve Completely.
(4x+5)(8x2+4x+6y+4)
32x3+56x2+36x+24xy+30y+20
In the following data set, is the mean or median higher? Why?
1,12,18,13,20,25
Median, due to the outlier of 1.
Solve by elimination. Leave the process on the board for checking.
6x+7y=-3
2x+5y=7
x=-4
y=3
Find the zeroes of the equation: y= x2+4x-21
x={-7,3}
Find f(4).
f(x) = 7x+12
f(x) = 40
Keysonne has money represented by (4+0.7). Ayden has money represented by (6+0.3). If you were to multiply these two binomials together, how much money would you have?
$29.61
Ethan goes around the his class and takes a few of the student's average grade on a test. Create a box plot for the set.
27,27,80,81,93,89,100,95,62,56,8
(Can't input images without membership, so here's a 5 number summary.)
Min- 8 Q1- 27 Med- 80 Q3- 93 Max- 100
Allison has 50 coins, totaling $8.90. The coins are either a quarter or a nickel. The quarters she has are four less than twice as many her amount of nickels. What is your SOE? How many of each coin does she have?
n+q=50
q=4n-4
32 quarters, 18 nickels
A dolphin jumps above sea level, moving at x feet per second. It's trajectory is modeled by -x2+5x. At what point does the dolphin hit sea level again, in seconds?
5 seconds
The students in a class take a math test. With the lowest score is a 65, who studied for zero hours. A student who studied for 2 hours got a 75. What is the linear function modeling the student scores?
f(x)=5x+65
Lucas has different types of candy in a bag, represented by (9w+8x+6y+4z). If he buys two more bags with the exact same amounts of candy, how many of each peice will she have?
27w+24x+18y+12z
Nolan decides to take the boy's number of pets at home in his class, and Bailey does the same for the girls. The data sets are shown below. Do the boys or girls have a higher median of pets? Higher mean?
Boys: 0,1,4,7,3,4,2
Girls: 9,5,3,1,2,4,2
Equal median, girls have a higher mean.
Marcos go to purchase pens and pencils. Each pencil is 2 dollars, and each pen is 4. Marcos has no more than 40 dollars to spend, and he needs to buy more than 3 pens. What is the maximum amount of pencils Marcus can purchase?
14 pencils
A ball is thrown from 6 feet. Its trajectory can be modeled by -x2+25x+6. What it the ball's maximum height? After how many seconds does it reach that max height?
162.25 feet, 12.5 seconds
If a company earns 6 dollars per unit sold with a starting 2,000 dollars paid for the shipment, what is f(12)?
f(12)=2,072