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