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WorksheetsProperties of Equality 3
Total questions: 25
Worksheet time: 40mins
Name
Class
Date
1.
Identify the property you would use to solve this equation:
4x = 72
4x = 72
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
2.
Identify the property you would use to solve this equation:
y – 7 = 28
y – 7 = 28
a)
Additive Property of Equality
b)
Subtraction Property of Equality
c)
Multiplicative Property of Equality
d)
Division Property of Equality
3.
Name the property described:
If PQ = RS then RS = PQ
If PQ = RS then RS = PQ
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
4.
If a = b, then a may be replaced by b in any expression.
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Substitution Property
5.
For any numbers a, b, and c, if a = b and b = c, then a = c.
a)
Transitive Property
b)
Symmetric Property
c)
Reflexive Property
d)
Substitution Property
6.
For any number a, a = a.
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Substitution Property
7.
Name the property described:
If MN = OP and OP = QR, then MN = QR
If MN = OP and OP = QR, then MN = QR
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
8.
Name the property described:
m∠1=m∠1
m∠1=m∠1
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
9.
Name the property.
<A≅<A
<A≅<A
a)
Transitive Property of Congruence
b)
Symmetric Property of Equality
c)
Reflexive Property of Congruence
d)
Symmetric Property of Congruence
10.
Which property is shown below?
__________________________
If t = 72, then t + 16 = 88 can be rewritten as 72 + 16 = 88
__________________________
If t = 72, then t + 16 = 88 can be rewritten as 72 + 16 = 88
a)
Addition Property
b)
Substitution Property
c)
I Do What I Want Property
d)
Associative Property
11.
What property would I use to solve this equation?
7 + x = 14
7 + x = 14
a)
Multiplication Property
b)
Subtraction Property
c)
Division Property
d)
Substitution Property
12.
Which property is shown below?
__________________________
7n = 21 then n = 3
__________________________
7n = 21 then n = 3
a)
Division Property
b)
Sorcery
c)
Reduction of Multiples
d)
Distributive Property
13.
Which property justifies the work in solving this equation?
a)
Addition Property of Equality
b)
Additive Inverse Property
c)
Identity Property of Addition
d)
Subtraction Property of Equality
14.
Which property of real numbers was used to get from Step 3 to Step 4?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Symmetric Property
d)
Substitution Property
15.
Identify the property of equality.
If 9=x, then x=9
If 9=x, then x=9
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
16.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
17.
What is step 4
a)
Substitution property (simplify)
b)
Addition property of equality
c)
Subtraction property of equality
18.
What is step 6
a)
Subtraction property of equality
b)
Addition property of equality
c)
Division property of equality
19.
Which property justifies the next step?
a)
Symmetric Property
b)
Segment Addition Postulate
c)
Definition Midpoint
d)
Definition Congruence
20.
Which property justifies the next step?
a)
Symmetric Property
b)
Transitive Property
c)
Segment Addition Property
d)
Reflexive Property
21.
Which property justifies the next step?
a)
Definition Congruence
b)
Segment Addition Post
c)
Transitive Property
d)
Definition Equality
22.
QR=QR
a)
Reflexive property of equality
b)
Symmetric property of equality
c)
Subtraction property of equality
d)
Transitive property of equality
23.
If Q is between P and R, then PQ +QR=PR
a)
Segment Addition postulate
b)
Definition of Midpoint
c)
Addition Property of equality
d)
Transitive Property
24.
Give the reason for statement #5
a)
Definition of supplementary angles
b)
Definition of congruence
c)
Vertical angles theorem
d)
Congruent supplements theorem
25.
Which property justifies the next step?
a)
Symmetric Property
b)
Transitive Property
c)
Segment Addition Property
d)
Reflexive Property
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