Identify the Property
What property is illustrated by the equation 6+(4+x)= 6+(x+4)
What is the commutative property of addition?
`7m=2m+10`
3x+14=122
x = 36
Is the following rational or irrational?
`sqrt(169)`
Rational
`sqrt(169) = 13`
`(15+35-2)-:12-5^2`
-21
What property is represented by the statement:
`1/2(6a+4b) = 3a + 2b`
What is the distributive property?
`-10k+1=40-7k`
k = -13
`9x+1-7x-5=-20`
x= - 8
Is the following Rational or Irrational?
`sqrt(19)`
Irrational--We would get a non-repeating, non-terminating decimal.
`9(13*2+9^2)-4`
959
4 (1/4) = 1
The Multiplicative Inverse Property
5 + 8(-x - 5) = -2x + 1
x=-6
`1/2y=40`
80
Is the following rational or irrational?
`2/sqrt(6)`
Irrational because a fraction is a ratio of two integers, and a the square root of 6 is irrational.
`(11-8)-5^2(11+2)`
-322
If M and A represent integers, M + A = A + M is an example of which property?
Commutative Property of Addition
30+2x=-4(5x-2)
x = -1
`(4x + 12) / 4 = 10`
x = 7
Is this number rational or irrational?
5.7896
Rational because it is a terminating decimal
`(4+2)^3+(5-14-:7)`
219
When solving for the value of x in the equation 4(x-1)+3=18, Aaron wrote the following lines on the board.
[line 1] 4(x-1)+3=18
[line 2] 4(x-1)=15
[line 3] 4x-1 = 15
[line 4] 4x=16
[line 5] x=4
Which property was used incorrectly when going from line 2 to line 3?
The Distributive Property
`-16 –7(2a+3)=23–2a`
a = -5
`9m-27+3m=7m+43`
Is this number rational or irrational?
`pi`
Irrational --It's a non-terminating, non-repeating decimal
`6*4-:12+72-:8-9`
2