| Terms | ||
| #1 | What is an additive inverse? | opposite |
| #2 | What are the two methods of solving an addition or subtraction problem? | vertical and horizontal |
| #3 | What is a polynomial? | a monomial or the sum of monomials |
| #4 | What does the ^ symbol mean? | exponent |
| #5 | What is the difference in a polynomial and a monomial? | A polynomial is made up of more than one monomial. |
| Adding | ||
| #1 | (6n^2-4)+(-2n^2+9) | 4n^2+5 |
| #2 | (3x^3 + 3x^2 – 4x + 5) + (x^3 – 2x^2 + x – 4) | 4x^3 + 1x^2 – 3x + 1 |
| #3 | (7x^2 – x – 4) + (x^2 – 2x – 3) + (–2x^2 + 3x + 5) | 6x^2 – 2 |
| #4 | (x^3 + 5x^2 – 2x) + (x^3 + 3x – 6) + (–2x^2 + x – 2) | 2x^3 + 3x^2 + 2x – 8 |
| #5 | ( x^2 - 10x + 6 ) + ( 9x^2 + x + 10 ) | 10x^2 - 9x + 16 |
| Subtraction | ||
| #1 | ( -10ab^2 + 100ab + 6b^2 ) - ( 8a^2b - 7ab + 4b^2 ) | -10ab^2 - 8a^2b + 107ab + 2b^2 |
| #2 | ( -3x^2 + 1 ) - ( -6x^3 - 4x + 5 ) | 6x^3 - 3x^2 + 4x - 4 |
| #3 | ( -xy^2 - 10x - 8y^2 ) - ( 10xy^2 - 9x^2 - 3y^2 + 9 ) | -11xy^2 + 9x^2 - 5y^2 - 10x - 9 |
| #4 | ( 6ab^2 + 60ab - 6b^2 ) - ( -5a^2b + 9ab - 8b^2 ) | 6ab^2 + 5a^2b + 51ab + 2b^2 |
| #5 | ( 10x^2 - 100x - 9 ) - ( 3x^2 + 8x + 1 ) | 7x^2 - 108x - 10 |
| Mixed | ||
| #1 | ( x - 10 ) + ( 2x - 6 ) - ( 5x - 8 ) | -2x - 8 |
| #2 | ( 3x - 30 ) + ( -9x + 9 ) - ( -10x + 8 ) | 4x - 29 |
| #3 | ( -3x + 30 ) + ( 5x - 7 ) - ( -8x - 6 ) | 10x + 29 10x + 29 |
| #4 | ( -4x - 40 ) + ( 9x - 1 ) - ( 7x + 6 ) | -2x - 47 |
| #5 | (9x^3+3x-13)-(6x^2-5x)+(2x^3-x^2-8x+4) | 11x^3-7x^2-9 |
| Review | ||
| #1 | Molly has (4x + 10) dollars and Ron has (-5x + 20) dollars. How much money do they have altogether? | –x + 30 |
| #2 | Luke’s CD costs $(3x + 1.95) dollars and Jim’s CD costs $(4x + 0.75) dollars. How much more is Luke’s CD? | –x + 1.20 |
| #3 | Subtract 11x^3 + 18x^2 + 15 from 5x^6 + 6x^5 + 19x^4 | –8x^2 + 22x + 4 |
| #4 | In subtracting polynomials what do you do? | add the additive inverse(OPPOSITE) |
| #5 | What is the first step in adding polynomials? | combine like terms |
| Final Question | |
| simplify ( 7a^2 - 70ab - 6b^2 ) + ( 2ab + 9b^2 - 5 ) | 7a^2 - 68ab + 3b^2 - 5 |