Apples and Pears
9x + 8y - 4x + 5y
5x + 13y
x=2
3x - 7
-1
x + 5 = 12
x = 7
Simplify.
52 x 53
55
Expression vs. Equation
Expression - math phrase made up of numbers of variables connected by operations (no equal sign)
Equation - 2 expressions that are equal (equal sign)
3x2 + 2y2 - 2x2 + 4y2
x2 + 6y2
x= 2
6x2 - 7x + 12
22
y - 4 = 5
y = 9
Simplify.
49 ÷ 43
46
Coefficient
a number written beside a variable tells you to multiply by that number
6xy + 6x2 + 10yx + 2y2 - 4xy
6x2 + 12xy + 2y2
x=10
3/5x + 7
13
t + (-2) = 6
t = 8
(73)2 x 7
77
Trinomial
An expression with 3 terms
(x - 3x2) + (5x2 + x - 11)
2x2 + 2x - 11
x=4 y=3
9x5 - 8xy
9120
10 x - 15 x = 43 + 32
x = -15
((1/2)2 x (1/2)4) ÷ (1/2)3
(1/2)3
Polynomial
an expression with one or more terms
(y2 - 2y + 7) - (12y2 + 8y + 10)
-11y2 - 10y - 3
n= (1/3)
4 + 3n - 2n2
43/9 or 4.78
14x - (-2x) = -25-23
x = -3
(x4y5)3 ÷ (x2y3)2
x12y15 ÷ x4y6
x8y9
Evaluate vs. Simplify
Evaluate - substitute/ replace a variable with a number to solve an expression
Simplify - combine like terms within an expression