What are terms that contain the same variables with corresponding exponents?
Like terms
Identify the constant: 4x-z-23
-23
Simplify:
10z+12y+13z-y+2x
2x+11y+23z
Simplify −0.1x2 +5x2
4.9x2
What property tells you to change the grouping?
Associative property
What do you call a polynomial with 3 terms?
Trinomial
How many terms are in this expression: 10+x+5x-7+8t
5
Simplify: − 4/5 b −2b
- 14 /5 b
Simplify 8z+9xy-z2
Simplest form
What property tells you to change the order?
Commutative property
What property tells you to multiply the outside number by everything on the inside?
Distributive property
若单项式2x2ya+b与 - 1/3 xa-by4是同类项,则a,b的值分别是?
a=3,b=1
Simplify x2 +4 −2x2 +3x −5 −6x
-x2 - 3x - 1
Simplify −3x2y +3xy2 −2xy2 +2x2y
-x2y + xy2
What is "a part of an expression separated by + or -"?
term
What do you call a term in an algebraic expression that does not contain variables?
constant
6
Simplify 3 (x2y + 2xy) - 2 (xy - x2y + 1)
5 x2y + 4xy - 2
- 1/3 xy + (-2/5 x2) - 1/2 x2 - (-1/6 xy)
- 1/6 xy - 9/10 x2
What is the degree of the term -3x2y3z
6
What is "the number in front of a variable"?
Coefficient
若代数式mx2+5y2-2x2+3的值与字母x的取值无关,则m的值是?
2
已知x2-2y=4,求3x2-6y-21 = ?
-9
-1.5
Explain why we cannot combine 2x2y and 3xy2. Use the vocab you learned.
They have different degrees. Like terms must have the same variables raised to the same powers.