Translating
Translate: 5x = 25
Five times a number is equal to twenty-five.
Evaluate: (3x + 4) When (x = 3).
13
What property is (a + b = b + a)
Commutative
Combine Like Terms: 4x + 3x + 2y
7x + 2y
Distribute: x(2 + 4)
6x
Translate: 2 + 4x = 26
Two more than four times a number is equal to twenty-six.
Evaluate: (7x + 3) When (x = 4)
31
What property is (a + 0 = a)
Identity
Combine Like Terms: 4x(4 + 2) + 8x
40x
Distribute: 2x(x + 4y)
2x2 + 8xy
Translate: 4/1 + 8x = 36
Four more than eight times a number is thirty-six.
Evaluate: (3x - 12) When (x=5)
3
What property is (a x 0 = 0)
Zero Product
Combine Like Terms: x + x + 4y(3 - 2)
2x + 4y
Distribute: 4x + 2(3x + 5y + 7x)
24x + 10y
Translate: 42 + 9x = x
Four squared more than nine times a number is equal to a number.
Evaluate: (4x + 5) + 3 When (x = 4)
24
What property is ( a = a)
Reflexive
Combine Like Terms: x - (3x + 4y) + 4
-2x - 4y + 4
Distribute: 5(x2 + 2y + 10x)
5x2 + 50x + 10y
Translate: 5y + (1/4)2 = y
Five times a number added to one-fourth squared is equal to a number.
Evaluate: 4x + (3y + 4x) + 2 When (x = 8) & (y = 3)
32
What property is (a + (-a) = 0)
Inverse
Combine Like Terms: 4x(3 + 2) + 6(x + y) + 7y
26x + 13y
Distribute: 4x + 5y(12x + 4y + 8y)
4x + 60xy + 60y2