Polynomials
factor using GCF
16a⁴b⁹ - 12a⁶b⁶
4a⁴b⁶(4b³-3a²)
If a line is a in a U shape is it quadratic
YES!
Factor using GCF
21f16g14h16 - 18f2g⁶h24
3f2g6h16(7f14g8 - 6)
Covert into a percent
.2361
23.61%
A total of 243 adults and children are at a movie thetar. There are 109 more children than adults. How many children are there . How many adults are there
There are 176 children and 67 adults
Factor
x²+10x + xy + 10y
(x+10)(x+y)
What are the a, b ,c values for the give quadratic equation: 6x2-9x+22
a=6 b=-9 c=22
Factor using grouping
x2+10x+xy+10y
(x+10)(x+y)
Given the function f(x)=20(.90)^x where f(x) is the number of tadpoles in Sharon's pond and x is the number of days since she set up the tank
What is happening to Sharon's tadpoles?
They are decreasing/dying
Samatha has $11.20 in a jar that contains only nickels and dimes. There are 140 coins in the jar
Write a system based off this problem
n+d=140
.05+.1d=11.50
x² - x - 8
factor when a=1
(x+2)(x-4)
Is this a quadratic Equation: y=7x
NO
Solve using square root
f2-45=99
f=12
The value of a car y (in thousand of dollars) can be approximated by the model c= 25(.85)^t where t is the number of year since the car has been bought
Estimate to the nearest thousands what the value of the car s after 7 years.
$8.011 thousand
The sum of two numbers is -22. The difference of the two numbers is 8.
What are (-7, -15)?
x² + 10x + 16
factor
(x+2)(x+8)
Solve this quadratic equation using the square root property: 3b2=147
b=7
Solve using the Quadratic Formula
2x2+5x-12=0
x=-4, 3/2
In 1999 the world population was about 6.9 billion. During the next 13 years the world population increased by 1.18% each year
Write an exponential model giving the population p (in billions, t years after 1999
f(p)= 6.09(1.0118)^t
Tanya would like to go fishing at one of two catfish farms close to her home. Mickey's Catfish Farm charges a $5 fee to fish plus $2 per pound of fish caught. Tony´s Catfish Farmdoes not charge a fee to fish but chrages $3 per pound of fish caught. When is the charge the same.
The charge is the same whne you buy 5 pounds of fish which is $15
Jessica wants to fully factor the expression 16x6y12-20x10y4. She factors it to 2x6y². Is Jessica correct? Explain
No, Jessica did not use the GCF method so her answer is not fully correct.
Mr.Jeff asks Maya to solve this equation: 4x2-2x-4=12-2x
Here are Mayas steps:
Line 1: 4x2-2x-4=20-2x
Line 2: 4x2=16
Line 3: 4x= (+/-)4
Line 4: x=1
Mr. Jeff says that Mayas answer is wrong, on which line did Maya make an error?
Line 3
Solve using quadratic formula
x²+8x+12=0
x= -8 plus or minus √40 divided by 2
At your job if you earn 20,000 a day for thirty days. What is your salary after 60 days.
1200 thousand
Benito is 12 years older than Kendall. The sum of there age is 64. How old is Benito. How old is Kendall
Benito = 38
Kendall= 26