Download Reasoning in Algebra

Practice 2-4
(DNG page 281)
Reasoning in Algebra
Use the given property to complete each statement.
1. Symmetric Property of Equality
UT = MN
If MN = UT, then ___________.
2. Division Property of Equality
mQWR = 30.
If 4mQWR = 120, then ____________
3. Transitive Property of Equality
ST = MN
If SB = VT and VT = MN, then _____________.
4. Addition Property of Equality
y = 21
If y - 15 = 36, then _________________.
5. Reflexive Property of Congruence
JL
JL  ____
Practice 2-4
Reasoning in Algebra
Give a reason for each step.
given
APE (Addition Prop. Of Equality)
MPE (Multiplication Prop. Of Equality)
given
Addition (or simplify)
APE
MPE
MPE
Practice 2-4
Reasoning in Algebra
Name the property that justifies each statement.
Substitution Prop.
Substitution Prop.
Transitive Property of Equality
Symmetric Property of Congruence
Transitive Property of Congruence
Practice 2-4
Reasoning in Algebra
Fill in the missing information. Solve for x, and justify each step.
Definition of
complementary s
Given
90 Substitution prop.
simplify
3x
3x
84
APE
28
MPE
(2x 4)
6x 12
x
Substitution prop.
Distributive prop.
APE
12
MPE