Define a variable + give an example
A symbol for a value we do not know yet.
X
Which of the following are like terms?
a. 3x +4x3
b. 4xy - 7y
c. 5xyz + 37xyz
d. 8x3y + 8xy
c. 5xyz + 37xyz
Solve for the variable:
X - 6 = 30
X = 36
3x = 27
x = 9
x/5 = 5
x = 25
Define Coefficient + give example
A numerical quantity that is placed before the multiplying variable.
4y
Combine the like terms:
8t +7 +1
8t + 8
Solve for the variable:
D + 360 = 400
D = 40
7r = 56
r = 8
y/4 = 12
y = 48
Define Constant + Given Example
a fixed value, often after a subtracting or adding operation.
2x + 4 = 8
Combine the like terms:
3x + 4xy + 6xy + 3x
6x + 10xy
Solve for the variable:
P - 345 = 155
P = 500
24h = 168
h = 7
q/12 = 156
q = 13
Define and give an example of Solution
the value of a variable that makes an open sentence true.
2x + 4 = 8, x = 2
Combine the like terms:
3x4y + 6xy + 7y - 2xy + 4 x4y
7x4y + 4xy + 7y
Solve for the variable:
457 + T = 603
T = 146
31c = 124
c = 4
a/15 = 105
a = 7
Define Monomial and give an example
A term that is a number, a variable, or the product of a variable and a number
3x2
Combine Like Terms:
3xy2 + 4xy - 2xy2 + 3x2y - x + 3x + 3xy
xy2 +7xy + 3x2y +2x
872 - J = 374
J = 498
45k = 495
k = 11
m/21 = 189
m = 9