Week 1
What does it mean for two terms to be like terms?
terms that have identical variable parts (same variable(s) and same exponent(s)).
What does PEMDAS stand for?
Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction
Define the "degree" of a polynomial
The term with the highest power
(4 + 2n3) + (5n3+ 2)
7n3 + 6
What does the acronym FOIL stand for?
Front (or First), Outside, Inside, Last
What is the difference between a rational and irrational number?
A rational number CAN be expressed as a ratio of two integers, an irrational number cannot.
What is the defintion of a function?
A function takes in one or more inputs and returns exactly one output
Classify the following polynomial: 3x2+7x+1+4x4
Fourth degree polynomial with 4 terms
(a3− 2a2) − (3a2− 4a3)
5a3− 5a2
Multiply: (x+3)(x+7)
x2+10x+21
Combine the like terms: 3x+2x+6xy-10y
5x+6xy-10y
Convert the following statement into an expression: Four times a number decreased by seven
4x-7
Simplify the following expression: 5(x+2)
5x+10
(−4k4+ 14 + 3k2) + (−3k4− 14k2− 8)
−7k4− 11k2+ 6
You are building a bedroom in the shape of a rectangle with dimensions (6x-2) and (2x+4). Find the area of the room
12x2+20x-8
Combine the like terms: 5x + 7y +8z -2x+3y+5-z
3x+10y+7z-5
Simplify the following expression:
4x + (2 + 5)2x + 7x(x - 6)
11x + 7x2
Simplify the following expression:
x(4x2+7x+2)
(7 − 13x3 − 11x) − (2x3+ 8 − 4x5)
4x5− 15x3− 11x − 1
Multiply: (x+y)(x+y)
What is x2+2xy+y2
Create an expression using the following vocabulary words: term, integer, coefficient, variable
Multiple answers accepted. Example: 3x+1
Simplify using exponent rules:
(xy2)2
x2y4
Create an expression represented by the following word problem: A McDonald’s Cheeseburger combo meal consists of 2 cheeseburgers, fries, and a soda. If 3 people ordered a Cheeseburger Combo Meal from McDonalds, how can we represent that as an expression?
3(2c+f+s)
(−9v2− 8u) + (−2uv − 2u2+ v2) + (−v2+ 4uv)
−9v2+ 2uv − 2u2− 8u
Multiply: (x-y)(x2+xy-y)
x3-yx-xy2+y2