Identity/Zero
Which property demonstrates a*0 = 0?
Zero of Multiplication
Use the commutative property to write an expression equivalent to 3x.
x * 3
What operations does the associative property work for?
addition and multiplication.
Use the distributive property to write an expression equivalent to 2(x+3)
2x + 6
Which property states that 1*a = a?
Identity of Multiplication
Use the commutative property to write an equivalent expression to x + 2.
2 + x
Use the associative property to write an expression equivalent to x + (3 + y)
(x + 3) + y
Use the distributive property to write an expression equivalent to 3x + 9. (*REVERSE!)
What property states that a + 0 = a?
Identity of Addition
Does the commutative property work with division?
No!
Use the associative property to write an expression equivalent to (3 + x) + 4
Are 4(2x+2) + 8 and 8x + 16 equivalent? How do you know?
Yes, both simplify to 8x + 16
Define the zero property of addition.
Use the commutative property to evaluate 8 + 34 + 92
134 (Move 9 + 92 together!)
Are (x + 3) + 4 and x + 7 equivalent? How do you know?
Yes, use associative to write x + (3 + 4) to combine to make x + 7.
Use the distributive property to write an expression equivalent to 2(3x + 7)
6x + 14
0!
Write TWO equivalent expressions to x + 45 + y according to commutative property.
45 + x + y, y + 45 + x
Use the associative property to write an expression equivalent to (xy)z
Use the distributive property to write an expression equivalent to 10x + 15.