Adding and Subtracting Polynomials
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Multiply the Polynomials:
3x2 (2x4)
6x6
Solving Equations
4x + 3 = 7
What is:
x = 1
Members of a lacrosse team raised $1775.50 to go to a tournament. They rented a bus for $901.50 and budgeted $46 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
Equation: 46x+901.5=1775.5
Answer: x = 19
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
Solving Equations
4(6 + 5x) = 124
What is:
x = 5
Ariana has a points card for a movie theater. She receives 25 rewards points just for signing up.She earns 8.5 points for each visit to the movie theater.She needs 76 points for a free movie ticket.Write and solve an equation which can be used to determine vv, the number of visits Ariana must make to earn a free movie ticket.
Equation: 8.5v+25=76
Answer: v = 6
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Multiply the Polynomials:
(2x-6)2
4x2 -24x +36
Solving Equations
6(6n - 2) = 8n - 40
What is:
n = -1
Write an inequality representing the following:
Jamie has $20 to spend on a taxi ride home. If the cab ride costs a fixed fee of $2 and an additional $3 per mile, then for how many miles can she take the taxi?
2 + 3x <= 20
(<= meaning less than or equal to)
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Multiply the Polynomials:
(4n - 1)(3n + 4)
12n2 + 13n - 4
Solving Equations
-4(-8p + 1) = -4 - 8p
What is:
p = 0
Write and solve an inequality to represent the following:
You are going shopping and have decided that you will spend less than $65. If shirts cost $10 and you buy a pretzel for $5, then how many shirts can you buy?
10x + 5 < 65
x < 6