Vocabulary
What are the variables in this expression?
5x + 83y
x and y
x - 7 = 19
x = 26
7a + 4b2 + 9
4b2 + 7a + 9
Are the following terms like terms? Explain.
8x and 5x2
No, they do not have the same degree.
4x3 + 4x2 + x
Trinomial
What are the constants in this expression?
3x + 5 = 8
5 and 8
6 - x = -2
x = 8
10x - 2xy + 14
-2xy + 10x + 14
17 - 3x2 + 2x2
-x2 +17
7x6 − 10x3 + 9x2 + 5x − 8
Polynomial
What are the different degrees of each term in this expression?
6x2 - 9y + 14a3b2
6x2 = 2nd degree
-9y = 1st degree
14a3b2 = 5th degree
2x - 15 = 5
x = 10
5ab3c - 12b6 - 8ab
-12b6 - 5ab3c - 8ab
a2 - 2a + 5a3 + 1 - 10a
5a3 + a2 - 12a + 1
12b3
Monomial
What are the coefficients in this expression?
a - 2b + 4c6
1, -2, and 4
-60 / x + 12 = -4
Use what Ms. Gation wrote on the board.
x = 3
-xy + 7abc + 9x8 -14 + 30a4b3
9x8 + 30a4b3 + 7abc - xy - 14
8x − 7x3 + 14 + 7x − x2 − 6 − x3 + 4x2
-8x3 + 3x2 + 15x + 8
x − 1
Binomial
Tell me the definition of a term.
What are the terms in the following expression?
5y + 4x - abc + 9
Parts of an expression, separated by + and -
In the expression 5y + 4x - abc + 9
There are 4 terms.
7 - 6y = -47
y = 9
1. Rearrange the expression.
2. How many terms are there?
3. What degree is this polynomial?
8k - 14j3f + 6z5
1. 6z5 - 14j3f + 8k
2. 3
3. 5th degree
20 + 12x2 − 5 − 10x + 4x2 +8x3 + x − 7x3
x3 + 16x2 − 9x + 15
8y4 - 15 + x6
Trinomial