Greatest Common Factor
The result of factoring:
2x2 + 14
2(x2 + 7)
The result of factoring:
r2 - 6r + 8
(r - 4)(r - 2)
The result of factoring:
3x2 - 4x + 1
(3x - 1)(x - 1)
Factor
x3+x2+x+1
(x2+1)(x+1)
A student starts the season in Clash Royale with 1,200 trophies. They go full sweat mode, and their trophies increase by 15% each day they play. After 5 straight days of grinding, how many trophies do they have?
Write an exponential model and then find the number of trophies. Round to the nearest whole number.
2414 trophies
The result of factoring:
8a - 16
8(a - 2)
The result of factoring:
x2 + 8x + 12
(x + 2)(x + 6)
The result of factoring:
3v2 - 34v + 80
(3v - 10)(v - 8)
Factor
3x3+6x2+2x+4
(3x2+2)(x+2)
Your math teacher starts the week with 100 patience points. Every day the class yells ‘67!’ during notes, the teacher’s patience drops by 20 percent. The class yells ‘67!’ for 3 days in a row. How many patience points does the teacher have left?
Write an exponential model and then find the value. Round to the nearest whole number.
51 patience points
The result of factoring:
-25z2 - 125z
-25z(z + 5)
The result of factoring:
k2 - 10k - 24
(k - 12)(k + 2)
The result of factoring:
2p2 - 3p - 27
(2p - 9)(p + 3)
Factor
4x3-2x2+6x-3
(2x2+3)(2x-1)
An Instagram Reel goes viral and starts with 50,000 views on day 0. Each day, the views decrease by 6.4 percent because the algorithm stops pushing it.
How many views is the reel getting on day five?
Write an exponential model and then find the value. Round to the nearest whole number.
35,921 views
The result of factoring:
-9x2 - 45x + 9
-9(x2 + 5x - 1)
The result of factoring:
m2 + 5m - 36
(m - 4)(m + 9)
The result of factoring:
5r2 + 23r - 10
(5r - 2)(r + 5)
Factor
2x3-7x2-4x+14
(x2-2)(2x-7)
A Dodgers fan is convinced they are going to 3-peat and wants money ready for World Series tickets every year. They deposit $3,900 into a savings account that earns 5 percent annual interest, compounded daily.
How much money will be in the account after 3 years?
Round to the nearest cent.
$4531.11
The result of factoring:
15n4 + 15n2 + 25n - 25
5(3n4 + 3n2 + 5n - 5)
The result of factoring:
x2 - 14x - 72
(x - 18)(x + 4)
The result of factoring:
5x2 - 51x + 54
(5x - 6)(x - 9)
Factor
9x3-6x2-15x+10
(3x2-5)(3x-2)
Elon Musk is feeling generous. He offers to open up a savings account in your name and initially deposits $100,000. If this account earns 6.2 percent annual interest, compounded daily, how much money will be in the account after one year?
Round your answer to the nearest cent.
$106,395.67