Algebraic Properties (=/ ) - Deer Valley Unified School District

2.4 Day 1 Algebraic Proofs.notebook

2.4 Day 1 Algebraic Proofs I CAN...

Identify and apply algebraic properties Complete an algebraic proof

Jul 1110:27 AM

Given: 3x 4 = 11 Prove: x=5

Statements

Reasons

August 27, 2015

Algebraic Properties (=/ )

Addition Property

Subtraction Property

Multiplication Property

If x3 = 5, then x = 8

If x+2 = 7, then x = 5

If 1/2x = 6, then x = 12

Adding a number to both sides of an

equation

Subtracting a number from both

sides of an equation

Multiplying something to both

sides of an equation

Division Property

If 2x = 10, then x = 5

Dividing a number from both sides of

an equation

Feb 169:05 AM

Given:

x 4

+

6

=

10

Prove: x=16

Statements

Reasons

Jul 159:22 AM

Given: 5x +3=4x7 Prove: x=7

Statements

Reasons

Jul 159:22 AM

Jul 159:22 AM

Algebraic Properties (=/ )

Distributive Property

Distributing over 2(x+5) = 2x+10 addition inside

parenthesis

Substitution Property

If x = 2, then 5x+3 = 5(2)+3

Substituting a number for your

variable.

Feb 169:05 AM

1

2.4 Day 1 Algebraic Proofs.notebook

Symmetric Property of Equality If 5=x, then x=5

Symmetric Property of Congruence If BC EF, then EF BC Flip sides of the equation

Jul 1111:32 AM

Given: 6x + 3(x2) = 21 Prove: x=3

Statements

Reasons

Given: 4(x+3)=6x2 Prove: x=7

August 27, 2015

Statements

Reasons

Jul 159:22 AM

Jul 159:22 AM

Reflexive Property of Equality AB=AB

Reflexive Property of Congruence AB AB

Something equals (is congruent to) itself

Jul 1111:32 AM

Sep 98:20 AM

Transitive Property of Equality If a=b and b=c, then a=c

Transitive Property of Congruence If WX XY and XY YZ, then WX YZ This follows from the substitution property

Jul 1111:32 AM

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