Quadratics
Linear
Exponential
Factoring
Sequences
100
Solve by quadratic formula:
3x^2-8x-18=0
{(4+sqrt70)/3, (4-sqrt70)/3}
100
Write the equation of the line that goes through the points (-5,3) and (1,-2)
y=-5/6x-7/6
100
You buy a new car for $56,725. The car is expected to depreciate by 5.75% each year. What will the car be worth in 4 years?
$44,761.02
100
8x^2-80x
8x(x-10)
100
Find the explicit formula for the sequence:
-15,-10,-5,0,...
a_n=5n-20
200
Write the standard form of the equation:
y=-1/3x^2-4
y=-1/3x^2-4
200
Write the equation of the line that goes through (-1,-2) and is parallel to
y=-1/3x+1
y=-1/3x-7/3
200
In 2003 the population of Buford, GA was 11,055 people. If the population has increased by 2.6% each year, what will the population be in 2027?
20,469
200
Factor:
50x^2-18
2(5x-3)(5x+3)
200
Given the recursive formula and first term, find the first 5 terms of the sequence and the explicit formula:
a_n=a_(n-1)+3
a_1=-7
-7,-4,-1,2,5
300
Convert to Vertex form:
y=2x^2-40x+207
y=2(x-10)^2+7
300
Describe the transformations from the parent function y=x:
3x-5y=45
vertical shrink by 3/5 down 9
300
If you have 100 grams of a radioactive isotope that has a half life of 10 years, how much will be left after 40 years?
6.25 grams
300
Factor:
2x^2+17x+30
(2x+5)(x+6)
300
Find the 52nd term of the sequence -15,-10,-5,0,5
a52=240
400
Solve by Factoring:
7x^2=-20+39x
x={5,4/7}
400
What is the equation of the line that is perpendicular to x=3 and goes through the point (1,7)?
y=7
400
Describe the transformations to the parent funciton
y=ab^x
y=1/2(2)^(x-3)+4
vertical shrink by 1/2, right 3 and up 4
400
Factor:
9x^2-28x-32
(x-4)(9x+8)
400
Find the explicit formula for the sequence: 3,9,27,81,...
a_n=3(3)^(n-1)
500
What is the Vertex?
y=-2x^2-4x
(-1,2)
500
Find the linear regression equation for the data. Describe the correlation.
Negative strong
y=-0.00064x+7.08
500
How much of a $15,000 investment is there after 5 years if it is compounded at a rate of 4.9% quarterly?
$19,135.82
500
Factor:
64x^3-8x^2-16x+2
2(2x-1)(2x+1)(8x-1)
500
Given the recursive formula, give the first 5 terms of the sequence:
a_n=a_(n-1)*5
a_1=-4
-4,-20,-100,-500,-2500