Translating
Translate: 5x = 25
Five times a number is equal to twenty-five.
Evaluate: (3x + 4) when (x = 3).
13
6x + 4y
What property does this equation apply to: (a + b) + c = a + (b + c)
Associative property
Distribute: x(3 + 4) = 2
3x + 4x = 2
Translate: 2 + 4x = 26
Two more than four times a number is equal to twenty-six.
Evaluate: (7x + 3) when (x = 4)
31
Combine Like Terms: 7x + 3y + 3y - 4x
3x + 6y
What property does this equation apply to: (a ⋅ 0 = 0)
Zero Product
Distribute: 4(x + y + x) = 3(x)
4y = -5x
Translate: 4/1 + 8x = 36
Four more than eight times a number is thirty-six.
Evaluate: (3x - 12) when (x = 5)
3
Combine Like Terms: 4x + 6y - 2x = 4x + 6y
2x
What property does this equation apply to: (17y=17y)
Reflexive
Distribute: 3x(2 + 4) + 3y = y + 2x
-2y -16x
Translate: 42 + 9x = b
Four squared more than nine times a number is equal to a number.
Evaluate: (1/3x - 5) when (x = 3)
-4
Combine Like Terms: 3x + y + x = 2x
y = -2x
What property does this equation apply to: (a + 0 = a)
Identity
Distribute: 3x -4(x + y + x) = 3x
-4y = 8x
Translate: 5y + (1/4)2 = h
Five times a number added to one-fourth squared is equal to a number.
Evaluate: (2x2 - 3 + 4) when (x = 2)
9
Combine Like Terms: x(4 + 7) + 3y = 4y + 5x
What property does this equation apply to: (a + b = b + a)
Commutative
Distribute: 4x(4 + 5) + 5(x + y + x) = x + 4y
-45x - y