Naming Polynomials
Name the following based on DEGREE
x2+2x-1
Quadratic
Simplify:
(2x+1)+(5x-7)
7x-6
Solve for x:
-3x=12
x=-4
Solve and graph the solution:
x-10<26
x<36
Create an equation and solve:
Gianna bought some magazines. A week later half of all her magazines were destroyed in a fire. There are now only 22 magazines left. With how many did she start?
x/2=22
She started with 44 magazines.
Name the following based on TERM
x4+2x3-1
Trinomial
Simplify:
(2x2+x)+(3x2-4x-2)
5x2-3x-2
2x-1=5
x=3
Solve and graph the solution:
2x≥ 20
x≥10
Write an inequality to represent this statement:
The speed limit on the highway is 55mph
x≤ 55
Name the following based on DEGREE
x5+1
Quintic
Simplify:
(x2-x+3)-(3x2+4x-7)
-2x2-5x+10
2(x+1)=4x
x=1
Solve and graph the solution:
x/-3≤ 4
x≥ -12
Gabriella sold half of her comic books and then bought fifteen more. She now has 34. With how many did she begin?
x/2+15=34
She began with 38 comic books.
Name the following based on TERM and DEGREE
x3
Cubic Monomial
Simplify:
2x2(x+1)
2x3+2x2
2x-5+3x=7x-11
x=3
Solve and graph the solution:
2x+1<17
x<8
Set up an equation and solve:
Jack won 71 lollipops playing basketball at the county fair. At school he gave three to every student in his math class. He only has 5 remaining. How many students are in his class?
3x+5=71
There are 22 students in his class.
Name the following based on TERM and DEGREE
2x4+3x3-x2+1
Quartic Polynomial with 4 terms
Simplify:
(x+4)(2x-1)
2x2+7x-4
3(x+1)-4=5(x-7)+4x-1
x=6
Solve and graph the solution:
-4x+7>19
x<-3
Set-up an inequality and solve the word problem:
Lyft charges a flat rate of $4.50 per ride and an additional $.25 per mile. You only have $15 to spend, how far can you go?
4.50 + .25x ≤ 15
You can go 42 miles.