Solving Equations
4x + 3 = 7
x = 1
abs(4-9)+abs(-5-10)
-20
5/3 x +2 = 17
x= 9
Naturals
double n
Name that Property:
5 + (-5) = 0
Additive Inverse (0 is the identity, we use inverse to get to identity)
Solving Equations
4(6 + 5x) = 124
x = 5
Solve
abs(x)=8
x= 8 and x= -8
1/2 (4x+6)+2/3 (9x-12)=11
x= 2
Define EVALUATE
Plug in a number, get a number
Double Z
Name that property:
x = x
Reflexive
Solving Equations
-108 = -8(x + 6) - 4
x = 7
Solve
abs(4x+6)=14
x = -5 and x = 2
2/3 x + 3/4 = 5/3 x - 7/4
x=5/2
Define SIMPLIFY
Use distributive property and combine like terms
Rationals
Double Q
Name that property:
3*1/3=1
Multiplicative inverse (use inverse to get to identity)
Solving Equations
172 = 5(4a + 6) + 2
a=7
Solve
abs(-3x-2)+7=2
no solution
-1/2 (6x-14)+1 = 8-3x
all real numbers
Define ABSOLUTE VALUE
distance from a number
Write an example of the SYMMETRIC PROPERTY in mathlish.
a=b and b=a
If 4x=52 and 52=(13)(4), then 4x=_____
Fill in the blank AND name the property
4x=(13)(4)
Transitive
Solving Equations
-93 = 7(-3k - 8) + 5
k = 2
Solve
15abs(4x+1)=165
x=5/2
and x= -3
4/5 x +7 = -29
x= -45
Define REAL numbers
Every number on a number line
Write an example of the TRANSITIVE PROPERTY in mathlish
if a=b and b=c, then a=c
Name that property:
x=4 and 4=x
Symmetric