Expressions
You rode your bike 10 miles then took a break. Now you're going to ride your bike 3 miles per hour. Write an expression to represent the amount of miles you'll ride total.
10 + 3x
Name this polynomial:
2x3
Monomial
Distribute 2( x + 3 )
2x + 6
5 + 10 = 10 + 5
Commutative or Associative Property?
Commutative
-16 + 20
4
There are certain number of chips in a bag. You buy 15 bags. Write an expression to determine how many chips you have total.
15x
How many terms are in this polynomial?
10 + 2x - yz +15x2yz
4
Distribute 3x ( -2 + 4x )
-6x + 12x2
Does the commutative property work for division? Ex. 10 / 5
No. 10/5 = 2
5/10 = 0.5
2/3 + 5/6
9/6 = 3/2
There are 24 balloons at a party, but some popped. Write an expression to determine how many balloons are left.
24 - x
What is the degree of this polynomial?
10xy + 2z
2
Distribute: ( x + 1 ) ( x + 3 )
x2 + 4x + 3
Using the associative property:
(a + b) + c =
a + (b + c)
(4 + (2 * 3)) - 5
5
In a fishtank, a third of the fish are angelfish. Write an expression to determine how many of the fish are angelfish.
x/3
What is the degree of this polynomial?
-15x2yz3 + x7 -2x6yz
8
Distribtue 2x( 5x + 3 + y )
10x2 + 6x + 2xy
Commutative or Associative Property?
(2)(3)(5) = (5)(2)(3)
Commutative
(-2)3
-8
At a car dealership, there are several cars on the lot. Write an equation that could be used to determine how many tires there are total.
4x
Write the polynomial in standard form:
15x - 10x5 + x2
- 10x5 + x2 + 15x
Distribute 2 ( x + 1) (3 - 3x )
-6x2 + 6
Which uses both commutative and associative properties?
a) (12 + 10) + 13 = 12 + (13 + 10)
b) (2 + x) + 3 = 2 + (x + 3)
c) (4)(x)(y) = (y)(4)(x)
a
3 - 4(2 + 15 / 5) * 3
-57