Polynomials
Equations/ Inequalities
Factoring
Exponents
Systems
100
Subtract the following polynomials: 

(-x^3 + 2x^2 -6x -7) - (2x^3 -7x^2 + 11x +1)

-3x^3 + 9x^2 -17x -8
100
A taxi service charges a flat fee of $1.75 and then charges an additional $. 65 per mile. Sergio wants to take the taxi, but can only spend up to $10. How many miles can he ride in the taxi? 

*HINT* Set up and solve an inequality 

12 miles 
100
When factoring, look for two numbers that multiply to be ________ and add to be _________. 


*HINT*: ax^2 + bx + c

a*c , b 
100
Simplify: 

2m^2 * 2m^3 

4m^5
100
Solve the following system: 

x = -3 

y = 3x - 7 

*HINT*: Write your answer as an ordered pair 

(-3, -16)
200
Multiply the following polynomials: 

(x-7)(x+4) 

x^2 -3x -28
200

Evan and Charlene are starting a business tutoring students in math. They rent an office for $400 per month and charge $40 per hour per student. If they have 15 students each for one hour per week how much profit do they make together in a month? (assume 4 weeks per month)

They will make $2000
200
Factor the following polynomial: 

x^2 -11x + 24

(x-8)(x-3)
200
Simplify: 

(x^2)^0

1
200
Solve the following system: 

y = 6x -11

y = 8x - 9

(-1, -17)


300
A regular hexagon has three sides of lengths 2x + 3

and three sides of lengths 4x -1. Find the perimeter of the hexagon. 

18x + 6
300
An object launched into the air can be represented by the function -16t^2 + 64t +80, where t is time in seconds. How long will it take this object to reach the ground? 
t = 5 seconds 
300
A square has an area of 4x^2 + 4x + 1. Find the length of one side of the square. 
2x + 1
300
Simplify: 

(3m)^-2

1/9m^2
300

Solve the following system: 

x+y=6

4x−3y=−4

x = 2, y = 4
400
A rectangle has a side length of x^2 + 3x -7 and a width of x-12. Find the area of the rectangle. 

*HINT*: Make an area model! 


Area = x^3 -9x^2 -43x +84
400

Daniel was renting a high performance bicycle for his Olympic training. Bicycle A is $25 per month and requires a down payment of $500. Bicycle B is $50 per month rent and requires a down payment $200. How many months would Daniel need to rent the bikes in order for the total cost to be the same? 

x = 12 months


400
Solve the following equation by factoring: 

3x^2 - 48 = 0 

*HINT* If a term is missing, assume it is 0. 

x = 4, x = -4
400
Simplify: 

2h^3j^-3k^4/ 3jk

2h^3k^3/3j^4
400

Lexie and Leavie are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Lexie sold 6 apple pies and 4 lemon meringue pies for a total of $80. Leavie sold 6 apple pies and 5 lemon meringue pies for a total of $94. What is the cost each of one apple pie and one lemon meringue pie? 

Apple pie: $4

Lemon Meringue pie: $14 

500
An isosceles triangle has a perimeter of 3x^2 + 24x + 30. The non equal side has a length of x^2 + 4x + 2. Find the length of each of the two equal sides. 

x^2 + 10x + 14

500

Hayson opened a factory with 11 supervisors and 5 managers on its staff. He plans to hire additional employees at a rate of 2 supervisors per month and 4 managers per month. Eventually, there will be an equal number of each type of worker in the factory staff. How many of each type will there be? How long will that take? 

It will take 3 months and they will each have 17 workers 
500
Solve the following equation by factoring: 

6x^2 - 4x -16 = 0 

*HINT*: Pull out a GCF first!

x = 2, x = -4/3
500
Simplify: 

3x^3y^-1z^-1/x^-4y^0z^0

3x^7/yz
500
Preston and Angel are thinking of joining a gym to get swole and impress the ladies. There is a monthly fee at this gym and an additional fee for each gym class they participate in. So far, Preston has went to the gym for 4 months and participated in 3 of the offered classes, spending a total of $120 Angel has been going to this same gym for 7 months and has participated in 5 classes. He has spent $195 What is the monthly rate of the gym and the price per additional class? 
4x + 3y = 115

7x + 5y = 195

Monthly cost: $10 

Cost per additional class: $25



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