Polynomials
Provide 3 types of polynomials and tell me what they are
Monomial: 1 term
Binomial : 2 terms
Trinomial : 3 terms
Polynomial : Multiple terms
26 = 8 + v
18
Provide to me 3 types of properties
Associative
Commutative
Distributive
How old am I if 300 reduced by 2 times my age is 246?
300 - 2x = 246
x = 27 years old
x3- 12x2 + 14x -14 + x2 -9x + 21
-243 = -9(10+x)
x=17
The difference between an expression and an equation
Equation has an equal sign
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
9b + 4 = 472
b = 52 students
(3x4 + 12x2 - 100)- (-x4 + 13x3 - 11x2 +300)
4x4-13x3+23x2-400
5n + 34 = -2(1 - 7n)
n = 4
State the property being used:
3(4x-12) = 12x-36
Distributive Property
Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake lost 2 marbles and has only 7 marbles at present. Find how many marbles did Dalia buy in all.
x/5 - 2 = 7
x = 45 marbles
4(x2-12x+4) - (3x2-24x-12)
x2-24x+28
Solve the equation and state how many solutions it has:
24a - 22 = -4(1 - 6a)
No solution
State the property being used:
2a + (b + c) = (2a + b) + c
Associative Property
Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than what he read on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?
110 pages
(6n2-6n-5)(7n2+6n-5)
42n4-6n3-101n2+25
Solve the equation and state how many solutions it has:
3 + 5n = 5(n+2) - 7
All solutions
State what properties are used to get to the next step:
Step 1: (x+4) + 5(a+(2x)y)
Step 2: 5(a+(2x)y) + (x+4)
Step 3: 5(a+2(xy)) + (x+4)
Commutative Property
Associative Property
Johnny is the oldest of 3 sons. The sum of Johnny and his 2 brothers ages are consecutive odd integers which adds to 57. How old is Johnny?
Brother 1: x
Brother 2: (x+2)
Johnny: (x+4)
x + (x+2) + (x+4) = 57
3x + 6 = 57
x = 17 years
Johnny: (x+4) = (17+4) = 21 years old