f(x)=x2+8x+12
(x+6)(x+2)
Ms. Sumner is having her lawn mower tuned up. The Sears repairman charges $50 service call plus $35 per hour. Write an equation to represent the money Ms. Sumner will pay depending on the "x" hours the repairman works.
y=35x+50
4y + 7
First degree
Minimum or Maximum of a Parabola
Vertex
Simplify √32
4√2
f(x)=x2-13x-30
(x+2)(x-15)
For $5.00 you could buy 1 coke and 3 pieces of pizza. For $8.00 you could buy 3 cokes and 2 pieces of pizza . Write the systems of equations to represent the situation.
c + 3p = 5
3c + 2p = 8
4x2 + 5x + 6
Second Degree
What is the axis of symmetry for the following graph.
x = 2
6√5−8√5
−2√5
f(x)=16x2-49
(4x-7)(4x+7)
You are buying brats and hot dogs for a barbecue. Brats cost $2.00 per pound and hot dogs cost $3.00 per pound. You have $36 to spend. Create a linear equation to represent the different number of combinations of brats and hot dogs you can have, then write it in slope-intercept form.
y = -2/3 x + 12
7
Zero Degree
What are three other names for the solutions on a quadratic function?
roots zeroes x-intercepts
2√3+√75
7√3
2x2+10x-48
2(x+8)(x-3)
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie cannot spend more than $10 on a ride.
0.65m + 1.75 < 10
What type of polynomial is this? 4y5+6xy-3x2
Trinomial
What is the vertex for the function f(x) = x2 + 2x -3
(-1,-4)
√22⋅√8
Make sure to simplify, if necessary.
4√11
7x2-36x+5
(7x-1)(x-5)
Renting a video game from Store A costs $2.50 per game plus a monthly fee of $6.00. Renting a video game from Store B costs $4.50 per game with no monthly fee. Write an inequality to represent a situation where Store A monthly costs are less than or equal to Store B monthly costs.
2.50v + 6.00 < 4.50v
What is the DEGREE and TYPE of 2x4+6
Fourth Degree and Binomial
Find the end behavior: f(x)=-x2+2x+10
as x-> infinity, f(x)-> negative infinity
as x-> negative infinity, f(x)-> negative infinity
√30 / √96
Make sure to simplify, if necessary.
√5 / 4