Intro to Algebraic Properties

Use the substitution property to finish this equation: If x = y, and x + 3y = 12, then __________

• y + 3y = 12

• x + 12 = y

• x + y = 12

• y + x = 3y

Which property states that if 2x = 14, then x = 7?

• Addition Property

• Subtraction Property

• Multiplication Property

• Division Property

Which property says that if -5x - 1 = -11, then -5x = -10?

• Addition Property

• Subtraction Property

• Multiplication Property

• Division Property

Which property says -7(x - 4) = -7x + 28?

• Addition Property

• Multiplication Property

• Division Property

• Distributive Property

According to the Associative Property of Multiplication, (9 x 6) x 5 = 

• 270

• 9 x 30

• 9 x (6 x 5)

• 5 x 9 + 5 x 6

Rewrite (9 + 6) + 5 using the associative property.

• 20

• (9 + 6) + 5 = (9 + 5) + 6

• (9 + 6) + 5  = 9 + (6+5)

• (9 + 6) + 5  = 5 + 9 + 5 + 6

Which shows the zero property?

• 5 + 0 = 5

• 5(0) = 0

• 5 - 5 = 0

• 0 + 0 = 0

Which property justifies the statement?

If x - 5 = 6, then x = 11.

• Addition Property of Equality

• Subtraction Property of Equality

• Substitution Property

• Mulitplication Property

Which property justifies the statement?

If x-2 = 7+4, then x-5 = 7+4 -3.

• Addition Property of Equality

• Transitive Property

• Subtraction Property of Equality

• Symmetric Property

Which property justifies the statement? If x/2 = x/2, then x = x.

• Multiplication Property of Equality

• Division Property of Equality

• Reflexive Property

• Symmetric Property