Properties of Operation
dividing the same number on both sides of equation
a letter that represents an unknown quantity in an algebraic expression
variable
A=A has how many possible solutions
infinite
2(X+5)= 2X+5
X=X; INFINITE SOLUTIONS
sqaure root of 64?
8
multiplying the same number on both sides of an equation
Multiplication Property of equality
a fixed number or value
constant
x= 5 has mow many possible solutions
4y+9=4y-7
16=0; no solution
cube root of 216?
6
subtracting the same number on both sides of an equation
subtraction property of equality
a number multiplied by a variable in an algebraic expression
Coefficient
A=B has mow many possible solutions
None; no solution
18x - 5 = 3(6x - 2)
1=0; no solution
48 x 49 =
417
a number that produces a true statement when substituted for the variables in an equation
solution
multiplies a factor that is outside of a set parentheses with each term inside parentheses
distributive property
Any value of variable creates a true statement means that the equation has ___________ solutions
Infinitely many; infinite
4x - 10 = x +3x - 2x
x = 5; one solution
9-3 =
1/729
Name the 4 properties of operation
Addition, subtraction, division and multiplication property of equality
has no more than two variables and has a solution that is single in value or an ordered pair, no solution or infinitely many solutions
Linear equation
When you use the properties of equality to simplify a linear equation how many possible outcomes can you have?
3 (one, none, or infinite)
3(X+1)+1+2x= 2(2x+2) + X
4=4 or X=X; infinite
7.5 x 10-4
.00075