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Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Mixed problems
Application
100
(2x + 5y) + (3x – 2y)
What is 5x + 3y
100
Simplify (6x^3 – 2x^2 + 8x) – (4x^3 – 11x + 10)
What is 2x^3 – 2x^2 + 19x – 10
100
(x+5)(x-3)
What is x^2 + 2x -15
100
(3x^2 + 7x) - (4x^2 - 4x)
What is -x^2 + 11x
100
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
What is 700 adults and 1,500 children
200
Simplify (3x^3 + 3x^2 – 4x + 5) + (x^3 – 2x^2 + x – 4)
What is 4x^3 + x^2 - 3x + 1
200
Simplify (x^3 + 3x^2 + 5x – 4) – (3x^3 – 8x^2 – 5x + 6)
What is –2x^3 + 11x^2 + 10x –10
200
Simplify (5x^2)(–2x^3)
What is –10x^5
200
Add the polynomials (5x^2y - xy^2+ 5x - 3), (4xy^2 - 3y + 7xy - 5) and (2x^2y - 3xy)
What is 7x^2y + 3xy^2 - 3y + 4xy + 5x - 8
200
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totalled $487. The second order was for 6 bushes and 2 trees, and totalled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
What is Bushes cost $23 each; trees cost $47 each.
300
(7x^2 – x – 4) + (x^2 – 2x – 3) + (–2x^2 + 3x + 5)
What is 6x^2 – 2
300
Subtract (-3x^2 + 5y - 4xy + y²) from (2x^2 - 4y + 7xy - 6y²)
What is 5x^2 - 9y + 11xy - 7y^2
300
Simplify –3x(4x^2 – x + 10)
What is –12x^3 + 3x^2 – 30x
300
If P = 3x^2 + xy - 5y^2, Q = 2x^2 - xy + 3y^2 and R = -6x^2 + 4xy - 7y^2, what is P + Q - R ?
What is 11x^2 - 4xy + 5y^2
300
A passenger jet took three hours to fly 1800 miles in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the jetstream's speed?
What is The jet's speed was 525 mph and the jetstream windspeed was 75 mph.
400
Simplify (x^3 + 5x^2 – 2x) + (x^3 + 3x – 6) + (–2x^2 + x – 2)
What is 2x^3 + 3x^2 + 2x – 8
400
(4x^2 + 2x - 3y + 7xy - 3y^2) from (3x^2 - 5x + 8y + 7xy + 2y^2)
What is -x^2 - 7x + 11y + 5y^2
400
Simplify (x + 3)(x + 2)
What is x^2 + 5x + 6
400
(-4x^3 + x^2y - xy^2), (3x^3 - xy^2 + 5x^2y) and (7xy^2 + 3y^3)
What is -x^3 + 6x^2y + 5xy^2 + 3y^3
400
Margie is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for each dog costs twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog for food and medication?
What is She can spend $20 on each cat. She can spend $40 on each dog.
500
Add the polynomials (3x2 - 6x + xy), (2x3 - 5x2 -3y) and (7x + 8y)
What is 2x^3 - 2x^2 + x + xy + 5y
500
If P = 5x^4 - 2x^2 + 4x - 3 and Q = 5x^4 + 3x^3 - 4x + 3, what is P - Q?
What is -3x3 - 2x2 + 8x - 6
500
Simplify (x – 3y)(x + y)
What is x^2 – 2xy – 3y^2
500
If P = 4x^4 - 3x^3 + x^2 - 5x + 11 and Q = -3x^4 + 6x^3 - 8x^2 + 4x - 3 what is 2P + Q?
What is 5x^4 - 6x^2 - 6x + 19
500
A total of 78 seats for a concert are sold, producing a total revenue of $483. If seats cost either $2.50 or $10.50, how many $2.50 seats and how many $10.50 seats were sold? Suppose x of the $2.50 seats and y of the $10.50 seats were sold.
What is 42 of the $2.50 seats and 36 of the $10.50 seats were sold.