Step StamperRulekeepers · expressions and properties

Stamps every step approved: the properties of equality, and the best first move.

Properties of Equality

The properties of equality, and the best first move. In MathBound, the free Algebra I adventure game, Step Stamper asks these problems, and the only way past is to solve them.

Part of Solving Linear Equations: chapter 2 of the standard course.

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10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Properties of Equality. Name the property of equality (addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution) behind a step.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Properties of Equality

Which

property

justifies

this:

if

x = 5

and

y = 7 x + 2,

then

y = 7 (5) + 2 ?

$Substitution$ $Property$ $of$ $Equality$
$Transitive$ $Property$ $of$ $Equality$
$Reflexive$ $Property$ $of$ $Equality$
$Symmetric$ $Property$ $of$ $Equality$

Show the worked steps

$The$ $value$ $of$ $x$ $was$ $put$ $in$ $place$ $of$ $x .$
$That$ $is$ $the$ $Substitution$ $Property$ $of$ $Equality .$

Answer: $Substitution$ $Property$ $of$ $Equality$

Example 2 · Properties of Equality

Which

property

justifies

this:

if

15 = 6 x + 2,

then

6 x + 2 = 15 ?

$Reflexive$ $Property$ $of$ $Equality$
$Commutative$ $Property$ $of$ $Addition$
$Transitive$ $Property$ $of$ $Equality$
$Symmetric$ $Property$ $of$ $Equality$

Show the worked steps

$The$ $two$ $sides$ $of$ $an$ $equation$ $were$ $swapped.$
$If$ $a = b,$ $then$ $b =$ $a:$ $the$ $Symmetric$ $Property$ $of$ $Equality .$

Answer: $Symmetric$ $Property$ $of$ $Equality$

Example 3 · Properties of Equality

Solve

6 (x + 1) = - 24. Step

1 : 6 x + 6 = - 24 Step

2 : 6 x = - 30 Step

3 : x = - 5 .

Which

property

justifies

Step

1 ?

$Substitution$ $Property$ $of$ $Equality$
$Commutative$ $Property$ $of$ $Addition$
$Distributive$ $Property$
$Multiplication$ $Property$ $of$ $Equality$

Show the worked steps

$Step$ $1$ $multiplies$ $6$ $by$ $each$ $term$ $inside$ $the$ $brackets.$
$That$ $is$ $the$ $Distributive$ $Property .$

Answer: $Distributive$ $Property$

Where it is in your textbook

Textbook	Lessons
Standard course	2.1
Big Ideas Math Algebra 1	1.1, 1.2
Big Ideas Math Algebra 1 (2022)	1.1, 1.2
CPS Skyline Algebra	4.1
Eureka Math Algebra I (EngageNY)	1.12-1.13
Glencoe Algebra 1	1-3, 2-2, 2-3
HMH Into Algebra 1	2.2
Holt McDougal Larson Algebra 1	2.2, 2.4
Math Nation Algebra 1 (Florida B.E.S.T.)	5.3
MVP Mathematics I (Integrated Math 1)	4.1
Open Up NC Math 1 (MVP)	4.1
Reveal Algebra 1	2-2, 2-3

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