Properties of Equality
Multi-Step Equations
Zero, One, or Infinite
Literal Equations
100
Name this Property: a = a
What is reflexive property
100
It's the solution to 3x - 2 = 2(4 - x)
What is x = 2
100

How many solutions does 12x - 4x = 2(4x - 30) have?

What is none

100
Solve ac - 2b = 3a + bc for b
What is b = (ac - 3a)/(c + 2)
200
Name this property: if a = b, then a - c = b - c
What is Subtraction property of equality
200
It's the solution to 3x - 1 = (8 - 2x)
What is x = 3
200

How many solutions does 5(-2x + 2) + 7x = (3x - 10) have?

What is infinite

200
Solve ac - 3b = 2a + bc for c.
What is c = (2a + 3b)/(a - b)
300
Name this property: if a = b and b = c, then a = c
What is the Transitive property of Equality
300
It's the solution to -9(4 - y) = 2(2y + 2)
What is y = 8
300
How many solutions does 12x + 10 - 4x = 6x - 30 + 3x have?
What is one
300
Solve 3ab + b = a + bc for b
What is b = a/(3a - c + 1)
400
Name this property: if a = b, then you can replace a with b and vice versa
What is Substitution property of equality
400
It's the solution to 5(5 - 2y) = 5(-y + 2) - 20
What is y = 10
400
How many solutions does 5x + 8 - 2x = 2(4x - 5) - 5x have?
What is none
400
Solve a + b = ab + 2ac for a
What is what is a = b/(b + 2c - 1)
500
Name this Property: if a = b then b = a
What is the symmetric property of equality
500
It's the solution to 5b + 6 = 7b + 3 - 2b
What is no solution
500
How many solutions does 5x + 8 - 2x = 2(4x - 5) - 4x have?
What is one
500
Solve pi(r^2) = a for r
What is r = sqrt(a/pi)
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