Properties of Equality

Addition or Subtraction Property

100

If: 16 + m = 44, 

Then: 16 + m - 16 = 44 - 16

Subtraction Property

200

If: w - 8  = 63, 

Then: w - 8 + 8  = 63 + 8

Addition Property

300

If: 23 = y + 8, Then?

Then:

23 - 8 = y + 8 - 8

400

If: 38 = d + (5 * 3), Then?

Then: 38-(5*3)=d+(5*3)-(5*3)

or 38 - 15 = d + 15 - 15 

500

If:75 = a - (25/j) solve for "a", Then?

Then: 75 + (25/j) = a - (25/j) + (25/j)

Multiplication or Division Property

100

If: 91 = 7h, 

Then: 91 / 7 = 7h / 7

Division Property

200

If: 15 = c ÷ 7, 

Then: 15  * 7= c ÷ 7 * 7

Multiplication Property

300

If: 9 = d ÷ 5k, Then?

Then:

9 * 5 = d ÷ 5 * 5

400

If: 91 = (5+ 4)n, Then?

Then:

91 / (5+4) = (5+ 4)n / (5+4)

or

91 / 9 = 9n / 9

500

If: (10 + 7) = r ÷ 9, Then?

Then:

(10 + 7) * 9 = r ÷ 9 * 9

or

17 * 9 = r ÷ 9 * 9

Substitution or Transitive Property

100

If: j ÷ 4 = 2d and j = 16,

 Then: 16 ÷ 4 = 2d

Substitution

200

If: 13x +5 = j and j = 8x, 

Then: 13x +5 = 8x

Transitive

300

If: z = 12k and 9 = z, Then: 9 = 12k

Transitive Property

400

If: 6 * d = p + 180; for d = 100, 

Then: 6 * 100 = p + 180

Substitution Property

500

If: k ÷ 3 = m - 7 and k=5m+2,

Then: (5m + 2) ÷ 3 = m - 7

 

Substitution