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algebriac properties

Total questions: 14

Worksheet time: 7mins

Name
Class
Date
1.
What is Addition property of equality
a)
a.   If a=b, then a+c=b+c
b)
b.  If a=b, then a-c=b-c
c)
c.  If a=b, then ac=bc
d)
d.  If a=b, then a/c=b/c
2.
What is the Substitution property of equality
a)
a.  If a=b, then  a can be substituted for b in any equation or expression
b)
b.  a(b+c)=ab+ac
c)
c  For any real number a, a=a .
d)
d.  If a=b, then b=a
3.

What is the Property of Equality for "If a=b, then b=a"?

a)

Reflexive

b)

Subsitution

c)

Symmetric

d)

Transitive

4.

Which property justifies the statement?


If x/2 = x/2, then x = x.

a)

Multiplication Property of Equality

b)

Division Property of Equality

c)

Reflexive Property

d)

Symmetric Property

5.

Which property justifies the following statement?


If y = mx, then y/m = x.

a)

Division Property of Equality

b)

Multiplication Property of Equality

c)

Transitive Property

d)

Addition Property of Equality

6.
Identify the property of equality.
If 31=2x-5, then 2x-5=31
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
7.
Identify the property of equality.
If 2x-4=3x-1 and
 3x-1=4x+3,
then 2x-1=4x-7
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
8.
Which property says that if -5x - 1 = -11, then -5x = -10?
a)
Addition Property
b)
Subtraction Property
c)
Multiplication Property
d)
Division Property
9.
Which property says -7(x - 4) = -7x + 28?
a)
Addition Property
b)
Multiplication Property
c)
Division Property
d)
Distributive Property
10.
Which property states if 10x + w = 41 and w = 1, then 10x + 1 = 41?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
11.
Which property says if -2x = 18, then 18 = -2x?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
12.
Which property says given 3x2 + 1, if x = 5, then 3(5)2 + 1?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
13.
Which property states that 5x + 8x = x(5 + 8)?
a)
Addition Property
b)
Multiplication Property
c)
Division Property
d)
Distributive Property
14.

If AB =XY and EF = GH, then AB + EF = XY + GH is what property?

a)

Transitive Property

b)

Substitution Property

c)

Addition Property

d)

Symmetric Property