Vocabulary
What is the acronym for the order of operations?
PEMDAS
7x-5x+3
2x+3
Simplify: (3x2)(5x3)
15x5
What is the second step to solving this problem? (2+8) * 3 + 6
Multiplying by 3
How many terms are in a binomial?
Two
When adding two like terms, what is the name of the number directly in front? Ex: 12x2
Coefficient
What is the coefficient of this expression after simplifying? 6x2-3x2
3
When you have a power to a power, what operation should you do with the powers? Example: (x3)4
Multiply the powers
Why are these not like terms? 3x3y + 8x3y2
The variable, y, has different exponents.
How many terms are in this polynomial? 4y5+6xy-3x2
Three
Simplify: (2x3)3
8x9
What is the secret coefficient and exponent of the following? x
x = 1x1
Write an example of a polynomial with 4 terms and degree of 3.
I'll check!
Simplify:(2x3z6)(6x3z-2)
12x6z4
What must be done with the exponents to solve? 4xm * 3xn
They must be added. 4xm * 3xn = 12xm+n
Like terms need to have...(two things!!)
1. Same variables 2. Same exponents
(6x3+4x2-4x+5)-2(2x3-3x2+5x-5)
2x3+10x2-14x+15
I want to know how many desks can fit in our classroom next year. The length of our classroom is x+5 ft and the width of our classroom is x-4 ft. What is the area of our classroom? Area = lw
x2+x-20 square ft
Don's sells hot dogs for $5 and burgers for $8. What does the following expression represent? 5h + 8b
The total price after buying h number of hotdogs and b number of burgers.