Monomials, Binomials, and Polynomials
Like Terms
Adding
Subtracting
Mixed Review
100
the sum of one or more terms
What is a polynomial?
100
the terms 4a²b² , -9a²b²
What are examples of like terms?
100
Remove parentheses. Identify like terms. Group the like terms together. Add the like terms. Ex. (2x² - 4) + (x² + 3x - 3)
What is the horizontal method?
100
Change the signs of ALL of the terms being subtracted. Change the subtraction sign to addition. Follow the rules for adding signed numbers. Ex. (2x² - 4) - (x² + 3x - 3)
What is the horizontal method?
100
If a system of linear equations has no solution, what do you know about the slopes of the lines of that make up the system?
They are equal (or the same)
200
the sum of two monomials
What is a binomial?
200
they can be combined by addition or subtraction
What are coefficients?
200
Arrange the like terms so that they are lined up under one another in vertical columns, adding 0 place holders if necessary. Add the like terms in each column following the rules for adding signed numbers. Ex. 2x² + 0x - 4 + x² + 3x - 3
What is the vertical method?
200
Arrange the like terms so that they are lined up under one another in vertical columns. Now, change signs of all terms being subtracted and follow rules for add. Ex. 2x² + 0x - 4 - (x²+ 3x - 3)
What is the vertical method?
200
Write 7.81 billion in scientific notation
7.81 x 10^9
300
the product of non-negative integer powers of variables
What is a monomial?
300
the terms x² , x , 2ab
What are not examples of like terms?
300
(2x² - 4) + (x² + 3x - 3) ----> 3x² + 3x - 7
What is 2x² - 4 + x² + 3x - 3 simplified?
300
(2x² - 4) - (x² + 3x - 3) -----> x² - 3x - 1
What is 2x² - 4 - x² - 3x + 3 simplified?
300
A rectangle has an area of 84 square feet with a length of 7 feet, what is its width?
12 feet (the label must be included)
400
x² + 2x + 1 + 3x² - 4x becomes 4x² - 2x + 1
What is the simplest form of polynomials?
400
-14xy , 14 xy , xy
What are examples of like terms?
400
2x² + 0x - 4 + x² + 3x - 3 ----------------- 3x² + 3x - 7
What is 2x² + 0 - 4 + x² + 3x - 3 simplified?
400
2x² + 0x - 4 - (x²+ 3x - 3) ---------------- x² - 3x - 1
What is 2x² + 0 - 4 - x² - 3 x + 3 simplified?
400
The prefix that implies "many"
What is poly?
500
4x² - 2x + 1 exponents of variables decrease from left to right
What is descending order?
500
monomials that have the same variable factors
What are like terms?
500
5x and 7x of the polynomial (5x – 1) + (10x2 + 7x)
What are the like terms?
500
3x² and 2x² of the polynomial (3x² - 1) - (2x² + 7x)
What are the like terms?
500
Multiply (4.2 x 10^3) and (8.1 x 10^-8)
3.402 x 10^-4
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