Algebruhhh
What is the Arithmetic Sequence formula?
an=a1+d(n-1)
What is the Interquartile Range Formula?
IQR = Q3-Q1
What is the Point-Slope formula for a linear equation?
y-y1=m(x-x1)
What is the slope formula?
y2-y1 / x2-x1
What is the Upper Outlier Boundry formula?
Q3+1.5(IQR)
Given the following relation:
{(0,4), (2, 6), (4, 8), (x, 7)}
State a value of x that will make this relation a function.
Any # other than 0, 2, or 4 would work!
Find the eleventh term of the sequence:
3, -6, 12, -24,…
3072
Which situation represents exponential growth?
(1) Aidan adds $10 to a jar each week.
(2) A pine tree grows 1.5 feet per year.
(3) Ella earns $20 per hour babysitting.
(4) The number of people majoring in computer science doubles every 5 years.
(4)
Simplify the expression:
(-x2+3x-7) - (4x2+5x-2)
-5x2-2x-5
If f(x)=x2, which is the result of shifting 3 units left and 2 units down?
(1) g(x)=(x+2)2-3
(2) h(x)=(x-2)2+3
(3) k(x)=(x+3)2-2
(4) j(x)=(x-3)2+2
(3) k(x)=(x+3)2-2
Given f(x)= -3x2+10, find f(-2)
-2
If f(x)=x2+2x+1 and g(x)=7x-5 state the values of x where f(x)=g(x)
x = 2 and x= 3
Write a degree 3 trinomial with a leading coefficient of 2 and a constant of 6.
2x3+x+6 (**answers may vary!!)
When 3x2+7x-8x4+2 is written in standard form, the leading coefficient is...
-8 (don't forget the negative sign!!)
Given 7x+2>58, state the smallest integer in the solution set.
9
Find the average rate of change between x=2 and x=4
{(1,45), (2,112), (3,178), (4,238), (5,305)}
63
Using the quadratic formula, solve 4x2-x-6, for all values of x.
Round to the nearest tenth.
x= 1.4 and x=-1.1
Factor completely:
36-4x2
4(3+x)(3-x)
State the domain and range of the function:
x2+2x-5
domain: (-∞,∞)
range: [-6,∞)
Using the equation x2-9x-7=0
1) state the zeros
2) state the minimum value
*round to the nearest tenth
1) x=-0.7 and x=9.7
2) y=-27.3
Is the point (4,2) a solution to the system:
2x-y>4
x+3y>6
Not a solution!
Solve by completing the square:
x2-8x-5=0
Express answer in exact form
x = 4± sqrt(21)
Given: {(17,49), (18, 49), (21, 48), (25,38), (30,31), (35,33)}
1) State the linear regression equation
2) State the correlation coefficient
**Round all values to the nearest hundreth
1) y=-1.10x+68.12
2) r=-0.93
Two friends, Alex and Jamie, are buying snacks for a movie night. Alex buys 3 bags of popcorn and 2 sodas for a total of $18. Later in the night, Jamie buys 2 bags of popcorn and 4 sodas for a total of $20.
1) Write a system of inequalities to represent this scenario if x=popcorn and y=soda
2) Use your system of equations to algebraically determine both the actual cost of each popcorn and the actual cost of each soda.
1) 3x+2y=18 and 2x+4y=20
2) popcorn=$4 and soda=$3
Solve the system of equations algebraically for all values of x and y.
y=x2+4x-1
y=2x+75
x=-4 and x=2